Oct. 25, 2023
David Wolpert: What Can We Really Know About That Which We Cannot Even Imagine? No Free Lunch
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David Wolpert is a Professor at the Santa Fe Institute, external professor at the Complexity Science Hub in Vienna, adjunct professor at ASU, and research associate at the ICTP in Trieste. He is the author of three books (and co-editor of several more), over 200 papers, has three patents, is an associate editor at over half a dozen journals, has received numerous awards, and is a fellow of the IEEE. He has over 30,000 citations, was the Ulam Scholar at the Center for Nonlinear Studies, and before that he was at NASA Ames Research Center and a consulting professor at Stanford University, where he formed the Collective Intelligence group. His degrees in Physics are from Princeton and the University of California. EPISODE LINKS: - David's Work: https://tinyurl.com/38e9vtzx - Davi'ds Publications: https://tinyurl.com/3zayjjhy - David' Website: https://davidwolpert.weebly.com/ TIMESTAMPS: (0:00) - Introduction (0:18) - How do Humans Construct Math & How does Math (Construct Universes? (6:24) - Reality is Mathematical (10:23) - Stochastic Mathematical Systems & Theorem Provers (16:40) - Inference Devices (18:54) - What can we really know about that which we cannot even imagine? (22:05) - Human Language (25:30) - Consciousness (29:39) - Math & Science "cut through the bullshit" (33:33) - Was Math Invented or Discovered? (39:16) - Prediction vs Retrodiction (43:19) - Where should Math & Science go moving forward? (45:22) - David's current projects (49:15) - Conclusion CONNECT: - Website: https://tevinnaidu.com/ - Facebook: https://www.facebook.com/drtevinnaidu - Instagram: https://www.instagram.com/drtevinnaidu/ - Twitter: https://twitter.com/drtevinnaidu/ - LinkedIn: https://www.linkedin.com/in/drtevinnaidu/ For Business Inquiries: info@tevinnaidu.com ============================= ABOUT MIND-BODY SOLUTION: Mind-Body Solution explores the nature of consciousness, reality, free will, morality, mental health, and more. This podcast presents enlightening discourse with the world’s leading experts in philosophy, physics, neuroscience, psychology, linguistics, AI, and beyond. It will change the way you think about the mind-body dichotomy by showing just how difficult — intellectually and practically — the mind-body problem is. Join Dr. Tevin Naidu on a quest to conquer the mind-body problem and take one step closer to the mind-body solution. Dr Tevin Naidu is a medical doctor, philosopher & ethicist. He attained his Bachelor of Medicine & Bachelor of Surgery degree from Stellenbosch University, & his Master of Philosophy degree Cum Laude from the University of Pretoria. His academic work focuses on theories of consciousness, computational psychiatry, phenomenological psychopathology, values-based practice, moral luck, addiction, & the philosophy & ethics of science, mind & mental health. ===================== Disclaimer: We do not accept any liability for any loss or damage incurred from you acting or not acting as a result of watching any of our publications. You acknowledge that you use the information provided at your own risk. Do your research. Copyright Notice: This video and audio channel contain dialog, music, and images that are the property of Mind-Body Solution. You are authorised to share the link and channel, and embed this link in your website or others as long as a link back to this channel is provided. © Mind-Body Solution
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David, I'd like to ask you how
does how do humans construct
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math and how does math construct
universes?
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OK, the second one's easier than
the first one.
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How do humans construct math?
Nobody knows it's a It is known
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that the stochastic process,
that if you look at things just
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historically or the psychology
literature, you'll see that
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there it's actually almost like
a random search and people start
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going down certain directions,
they find it doesn't work, they
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back it up.
So depending on the level of
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granularity you want to get
into, there's something going on
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down the level of neurons and
neurobiology of course.
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But in terms of the
phenomenology, sometimes there
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are mistakes made.
Very often there are oversights,
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like for several thousand years
people were trying to prove
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Euclid's parallel lines
conjecture from the other axioms
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of.
Euclidean geometry until finally
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somebody got brave enough to
say, well what if it actually
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doesn't follow from the others,
and out of that ensued all of
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non Euclidean geometry,
differential geometry, the basis
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of general relativity and so on
and so forth.
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Similarly, at the end of the
beginning of the 20th century,
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David Hilbert famously or
infamously said.
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We must know, We will know
concerning how to put together
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an automated algorithm that
would be able to deduce all of
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the correct theorems in
mathematics and none of the
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incorrect ones, and then girdle
and Turing and show on prove
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that no, you're wrong.
So the overall process of humans
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constructing mathematics is a
little bit of a guided.
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Random search and that's really
about as far as we know at the
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level of the actual
neurobiology, what's going on
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inside of the human, the OR the
associated psychology, the
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effects of it, the phenomenology
going the other way.
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That one, from a certain
perspective, is far cleaner to
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understand, but.
Very, very few.
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Few humans are willing to accept
it.
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So basically, this is of course
my.
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I'm going to couch this in an
extreme version which reflects
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my perception of things.
First thing to understand is
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that all of consciousness is
basically a fiction.
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It's a.
Post hoc story we make up after
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the fact to give us the illusion
that we're in control because
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we're such control freaks.
There's many neurobiology
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experiments demonstrating that
people think that they know why
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they made a decision as
demonstrably not true.
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They're these fascinating
experiments with people who had
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the corpus callosum severed.
So that they've actually got two
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brains, two separate minds, not
talking to one another directly
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inside of their head.
And you can arrange it so that
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each hemisphere can be asked
questions.
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Why?
So you can arrange it so that
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one hemisphere is in control of
doing something like drawing or
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something like that, and the
other hemisphere can be asked,
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well, why are you doing that?
It cannot.
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No, it's physically impossible.
But that other hemisphere is
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completely convinced, just as we
are convinced as humans if our
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quote complete brains.
But it actually understands
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what's going on, the
motivations, the rationales, the
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reasons it's a post hoc fable
made-up after the fact to give
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us the illusion we're in
control.
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So adopting that perspective, a
lot of what seemed to be such
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very deep questions in
philosophy.
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Having to do with philosophy of
science, of the difference
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between physical reality and the
models we came up with, all of
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the battles of starting back in
contact, at least with logical
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positivism, synthetic versus
analytic, blah blah blah.
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And all of that is driven,
ultimately in a certain sense,
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by humans believing themselves,
and it's can all be explained.
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As simply what is the result of
mathematics?
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If you adopt the we, you cannot
almost by definition have any
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experiment which will refute the
hypothesis that all of physics,
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all of physical reality, is just
mathematical laws, and all of
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the experiments we can do are
just.
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Calculating what the results of
problem set examples are for
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those mathematical laws.
In particular, all of our
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neurobiology is such, all of our
sense of minds is such.
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And that's where the notion that
all of consciousness is a
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fiction plays a key role,
because it just eviscerates the
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notion that there's anything
there more than neurobiology,
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that there's anything there that
not as reducible, just reducible
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to physics.
And the physics itself is just
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math.
You don't need anything else.
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Max Tegmark has some good work
in Annals of Physics, and so on,
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some of his more formal analysis
of what some people call
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multiverse.
Any mathematical system is just
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as legitimate as any other, just
as real as any other.
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The pawns on a chess board think
the rules of chess are.
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Physical and are real in the
exact same sense that I, right
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now hitting my fists together,
think that the laws of Newtonian
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physics are real.
There's no way that you can
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actually design an experiment
that can say anything more than
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you are part of that particular
mathematical system.
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There's no sense in which one is
more real than the other.
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Reality itself is ultimately A
vacuous concept.
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It is just a mathematical
system.
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And that's all it is.
That is when I first learned
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quantum mechanics, way back when
people like to say, oh, it's
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deep philosophical implications
have to do with things like wave
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particle duality and this, that
and the other.
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Actually, no.
What I understand the deep
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importance of quantum physics to
be after all the courses I took
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on it and so on, is rather the
following.
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To be able to actually fully
accurately predict what the
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results of a physical experiment
will be, it is crucial that you
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actually build into your model
all of the details of the
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observational apparatus.
This was the big insight of a
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fellow called Everett, who some
people have said he was the
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originator what's now called the
many worlds interpretation of
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quantum mechanics.
Which really is what lies
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underneath all of quantum
computing, by the way, that it's
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only possible to actually fully,
accurately deploy the
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Schrodinger's equation, the
mathematics of quantum
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mechanics, when everything is
accounted for.
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And by the way, once everything
is accounted for, there's
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nothing left over.
There is no room.
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There is no need for some kind
of a physical reality that is
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out there that our mathematics
is just describing where it is
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in some sense, that there's this
concrete thing that is in some
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sense of a different kind than
our mathematics.
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Yes, our mathematics and our
sciences right now is just an
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approximation.
It is not what?
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Whatever the underlying
mathematics is, we're just
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fumbling around in the dark.
That gets back to the beginning
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part of the question you asked
my response about How is it that
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humans create math?
It's also how humans create
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sciences.
The same thing, but there is no
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reason to believe that it is
anything more than trying to
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approximate 1 mathematical
system with another.
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And the crucial thing is.
It's impossible to conceive of
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any way of actually conclusively
ascertaining that there is
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anything to physical reality
other than in mathematical
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system which has as part of it
us.
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So that was a huge bladder of a
monologue going all over the
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map.
I hope it.
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I mean it, it's fine, it's
informative and I think you you
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mentioned those approximations.
So we're obviously using
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specific or actually I think it
would be a better idea for us.
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Let's briefly touch on how what
type of mathematical systems you
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mentioned stochastic
mathematical systems.
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Let's touch on what that is and
then how we as inference
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devices, as you like to call it.
How are these concepts linked
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and at what point does that
affect our perception of
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reality?
OK, so several different things
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there.
First, yeah.
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And when you refer to stochastic
mathematical systems, that's
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work that I've been involved
with with a philosopher, David
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Kinney, which in a certain OK,
so there are right now things
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like what are called theorem
provers, proof assistants, which
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are going to be very, very good.
One of the currently the ones
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that's most popular, most
powerful people can Google it.
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It's it's lean LEAN.
An earlier one had the
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unfortunate pronunciation of
cock COCOQ.
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It.
It's a come from the French and
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people have actually now gotten
to where they actually have been
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using these to prove some
theorems.
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The reason I mentioned that is
you can actually use these to.
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Look at the entire networks of
implications underlying
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important theorems in
mathematics, like Godel's and
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completeness theorem, the
Pythagorean theorem, and so on.
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That network of implications of
these ones are combined to give
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that one, which is combined to
give the next one, and so on.
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They can be modelled more or
less effectively.
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As a stochastic process where
you are doing a branching
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network growth kind of a system.
SO1 aspect of things is that
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that is a model of a stochastic
mathematical system that is the
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one that describes human
behaviour, human mathematician
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behaviour or might the it's all
very very early days, that kind
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of work.
Now this work that I did with
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David Kinney.
In a certain sense, it can be
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motivated by the following.
As I mentioned before, every
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time in history when a
foundational supposition of
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mathematics was weakened, great
riches ensued when people gave
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up on the notion that the
Euclidean that the parallelite
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hypothesis had to be true
allowed it to be false.
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Cornucopias were just the the
pinata was just smashed open.
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Similarly, when people realize
that things like the continuum
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hypothesis that there is an
Infinity that lies between now
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the integers and the reels, you
could take it or leave it.
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Great riches ensued.
The axiom of choice, a similar
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thing.
I mentioned David Hilbert when
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that rigid conviction was
relaxed, which is like.
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I was forced upon mathematicians
essentially by Girdle and Turing
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and and many others.
Great riches ensued.
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We now have these really deep
stuff that provides these
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limitations on mathematics
itself.
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In some senses.
I think these are by far the
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deepest philosophical results
that all of humanity has ever
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been able to generate.
Is one's having to do with the
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foundations of mathematics and
computation?
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So we, David Kinney and I said,
well, given that the way that
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real mathematicians work is by
the somewhat stochastic random
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process, why don't we sort of
see what might come out of it if
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we similarly weaken one of the
foundational convictions of all
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of mathematics?
Which is that mathematical
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implication is deterministic.
It is rigid.
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It is true.
It is probability one or zero.
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That is what we would want to be
the case.
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But if you look at how
mathematicians actually work,
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it's not the case.
Among other things, you can
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never be sure that any
implication is 100% true.
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People have found non trivial
flaws in proofs well after they
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were first suggested.
So there's always a finite
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probability that what we think
is actually ironclad is wrong.
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And let's just look at the
implications if mathematics
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itself, not just humans doing
math, had that structure.
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And also of course we can look
at what the implications might
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be for then OK, for laws of
physics are themselves simply a
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special case of mathematics.
What if the laws of physics?
208
00:15:06,360 --> 00:15:09,280
We're random, so we're all
somewhat comfortable with
209
00:15:09,280 --> 00:15:13,640
quantum mechanics saying the
actual variables in physics are
210
00:15:13,640 --> 00:15:16,920
random, But what would happen if
some of the laws will be
211
00:15:16,920 --> 00:15:21,680
somewhat random as well?
So this, and it's still, to put
212
00:15:21,680 --> 00:15:24,480
up mildly, very early days.
We don't know if there's
213
00:15:24,560 --> 00:15:27,960
anything of value that will come
out of this, but we're starting
214
00:15:27,960 --> 00:15:30,960
to explore a little bit of that
to see where it might get us.
215
00:15:31,760 --> 00:15:34,400
They will have a lot of value
for the community that's
216
00:15:34,400 --> 00:15:39,080
involved, that's concerned with
the sociology of mathematics as
217
00:15:39,080 --> 00:15:42,440
a profession and so on.
But these more deep issues are
218
00:15:42,440 --> 00:15:46,960
saying what if physics and
potentially even math itself are
219
00:15:47,080 --> 00:15:50,720
fundamentally stochastic, this
way still to be determined.
220
00:15:51,440 --> 00:15:54,400
I mean to give a simple example,
though, wouldn't it be fantastic
221
00:15:54,400 --> 00:15:58,800
to be able to even give an
answer to the question of is
222
00:15:58,800 --> 00:16:04,560
Girdle's incompleteness there?
Which seemingly guts Hilbert's
223
00:16:05,680 --> 00:16:09,440
goal conviction of what
mathematics had to be.
224
00:16:10,160 --> 00:16:14,760
What if that gutting of Hilbert
were itself particularly
225
00:16:14,800 --> 00:16:21,120
sensitive to any kind of noise
in the stochastic mathematical
226
00:16:21,120 --> 00:16:25,400
steps that led to its
derivation, so it itself could
227
00:16:25,400 --> 00:16:29,240
fall apart very easily?
What might that even mean?
228
00:16:29,680 --> 00:16:34,920
I haven't the faintest idea.
Go ahead, continue.
229
00:16:37,480 --> 00:16:40,720
Well, that's got to do with
stochastic mathematical systems.
230
00:16:41,560 --> 00:16:47,440
Inference devices is a different
body of work, and so are things
231
00:16:47,440 --> 00:16:51,760
like the No Free Lunch theorems.
And ultimately, I think they
232
00:16:51,760 --> 00:16:57,680
sort of do need to be brought
together because they've all.
233
00:16:59,720 --> 00:17:02,320
Well, I mean, anything
ultimately needs to be unified
234
00:17:02,320 --> 00:17:06,440
if it's all concerning the same
ultimate coherence goal.
235
00:17:07,280 --> 00:17:10,520
But inference devices really
goes after different things.
236
00:17:11,760 --> 00:17:17,119
It talks much more about the
foundations of science and
237
00:17:17,119 --> 00:17:24,920
basically says that any
scientific mathematical system.
238
00:17:26,079 --> 00:17:29,240
If it were to be able to
describe more than one
239
00:17:29,240 --> 00:17:35,080
simultaneous scientist and more
than one simultaneous inference
240
00:17:35,080 --> 00:17:41,920
device, then there will be
strong limitations on whether or
241
00:17:41,920 --> 00:17:47,760
not both of them could actually
be correct, and this is true no
242
00:17:47,760 --> 00:17:50,720
matter what the underlying
mathematical system is.
243
00:17:52,040 --> 00:17:54,800
So it actually has some
implications, potentially
244
00:17:54,800 --> 00:18:00,120
depending on if you really want
to squint and perhaps some
245
00:18:00,120 --> 00:18:03,480
sniff, a little too much
laughing gas, nitrous oxide.
246
00:18:03,920 --> 00:18:07,920
It's got potentially some things
you might want to say concerning
247
00:18:08,400 --> 00:18:12,280
even religion.
There's a theorem, the
248
00:18:12,280 --> 00:18:15,760
monotheism theorem, which
basically says that in the sense
249
00:18:15,760 --> 00:18:19,920
of it being an inference device,
you cannot have more than two
250
00:18:19,920 --> 00:18:22,640
deities.
You cannot have more than two
251
00:18:23,080 --> 00:18:25,880
systems that are making
predictions, both of which are
252
00:18:25,880 --> 00:18:30,480
correct.
So it's it's really though like
253
00:18:30,600 --> 00:18:33,400
a different body of work from
the stochastic mathematical
254
00:18:33,400 --> 00:18:36,040
systems work.
When I was I was briefly
255
00:18:36,040 --> 00:18:41,400
touching on this, the fact that
as infant devices or as because
256
00:18:41,400 --> 00:18:45,040
we have these approximations in
general, something you work on
257
00:18:45,040 --> 00:18:49,280
quite often is what can we
really know about that which we
258
00:18:49,280 --> 00:18:53,640
cannot even imagine?
Are they these hard limits to
259
00:18:53,640 --> 00:19:00,600
the universe?
Yeah, so that's that's what
260
00:19:00,640 --> 00:19:06,080
you're touching on now as a as
an essay that I wrote, which is,
261
00:19:06,840 --> 00:19:09,240
I've not even been able to
figure out a way to even start
262
00:19:09,240 --> 00:19:12,640
to grapple with this
mathematically.
263
00:19:13,400 --> 00:19:14,920
Here's one way of thinking of
it.
264
00:19:16,960 --> 00:19:20,360
It's a cliche.
Many people have pointed out
265
00:19:20,360 --> 00:19:28,760
that oh, a Paramecium, my dog
over there, could not understand
266
00:19:28,760 --> 00:19:31,400
the answers we might provide to
certain questions.
267
00:19:32,280 --> 00:19:35,160
And some people have noted that
oh, at the point of fact, they
268
00:19:35,160 --> 00:19:37,280
might not even understand the
questions.
269
00:19:37,960 --> 00:19:40,320
But if you think about it, it's
something like a unicellular
270
00:19:40,320 --> 00:19:45,600
Organism, a Paramecium.
It doesn't even understand in
271
00:19:45,600 --> 00:19:48,320
any way, shape or form, whatever
that word might even mean.
272
00:19:48,960 --> 00:19:54,040
What a question is, and what the
significance of questions and
273
00:19:54,040 --> 00:19:58,080
answers are for any kind of
appreciation of physical
274
00:19:58,080 --> 00:20:01,480
reality.
It's not just that the physical
275
00:20:01,480 --> 00:20:09,080
reality of a paramecium might be
a gradient in some kind of free
276
00:20:09,080 --> 00:20:12,680
energy source that it would then
use chemotaxis to try to follow,
277
00:20:12,680 --> 00:20:17,280
and so on.
It's it's not just that that is
278
00:20:17,280 --> 00:20:19,320
this entire conception of
reality.
279
00:20:21,160 --> 00:20:24,960
It's that it doesn't even
understand that things like
280
00:20:24,960 --> 00:20:31,040
questions and answers could lead
to anything that's outside of
281
00:20:31,040 --> 00:20:32,680
that.
It doesn't even understand that
282
00:20:32,680 --> 00:20:40,440
simple concept.
So the obvious follow up thought
283
00:20:40,480 --> 00:20:46,840
is what are the analogies for us
of what questions are for
284
00:20:46,840 --> 00:20:50,840
Paramecia?
It's not just what are the
285
00:20:50,920 --> 00:20:54,160
answers to questions that we
cannot understand.
286
00:20:55,120 --> 00:20:58,240
It's not just what are the
questions that we cannot even
287
00:20:58,240 --> 00:21:05,800
formulate, it's what are the
cognitive constructs like
288
00:21:05,800 --> 00:21:12,240
questions and answers in the 1st
place that are beyond our 10
289
00:21:13,200 --> 00:21:15,960
that are beyond our ability to
even imagine.
290
00:21:18,880 --> 00:21:24,400
I don't even know how to go
about addressing that question
291
00:21:25,000 --> 00:21:28,400
being sort of copernican to the
core, that there's nothing
292
00:21:28,400 --> 00:21:33,640
special about humans.
Given that that issue in various
293
00:21:33,640 --> 00:21:38,720
forms is there for all other
biological systems on planet
294
00:21:38,720 --> 00:21:44,840
Earth, it's got to be there for
us as well, and I don't even
295
00:21:44,840 --> 00:21:48,320
know how exactly how to go past
that point.
296
00:21:49,000 --> 00:21:50,960
I know because one of your
follow up questions in your own
297
00:21:50,960 --> 00:21:55,400
paper was along along the lines
of how would our perception of
298
00:21:55,400 --> 00:22:01,040
reality change if we were able
to expand math to include
299
00:22:01,040 --> 00:22:04,440
infinite strings of symbols?
Have you given that any more
300
00:22:04,440 --> 00:22:09,760
thought?
So there's a there's a key thing
301
00:22:09,760 --> 00:22:11,240
here.
So what you're alluding to there
302
00:22:11,240 --> 00:22:18,000
is this, that communication
language, if we're really a
303
00:22:18,000 --> 00:22:20,320
monster, is a cognitive crutch
that humans have.
304
00:22:20,800 --> 00:22:27,400
Human species, Homo sapiens has
come up with to try to augment
305
00:22:27,400 --> 00:22:29,160
our own intelligence.
It's a tool.
306
00:22:29,480 --> 00:22:37,320
Language is a tool.
Many philosophers slash
307
00:22:37,320 --> 00:22:42,280
scientists are just besotted
with the magic of the power of
308
00:22:42,280 --> 00:22:46,080
the particular tool that we have
come up with, in particular its
309
00:22:46,080 --> 00:22:50,280
ability to have self reference,
which is the foundation of
310
00:22:50,280 --> 00:22:52,560
girdle and Turing and so on and
so forth.
311
00:22:54,880 --> 00:23:00,440
I instead look at human language
and just notice some particular
312
00:23:00,440 --> 00:23:05,160
aspects of it.
It consists of only
313
00:23:06,800 --> 00:23:12,680
one-dimensional strings, where
every element in the string is
314
00:23:12,680 --> 00:23:16,760
chosen from some finite
alphabet, and when there's only
315
00:23:16,760 --> 00:23:19,600
a finite number of symbols in
that string.
316
00:23:19,600 --> 00:23:26,520
Any book is just that.
All of mathematics, when it's
317
00:23:26,520 --> 00:23:30,360
written in in the actual
textbooks, in the proofs that
318
00:23:30,360 --> 00:23:32,560
mathematicians sent back to one
another.
319
00:23:33,160 --> 00:23:39,520
That's all it amounts to.
We know mathematically that
320
00:23:39,520 --> 00:23:44,240
there is vastly richer
structures than just
321
00:23:44,240 --> 00:23:48,960
one-dimensional finite strings
of chosen from a finite
322
00:23:48,960 --> 00:23:54,840
alphabet.
We have come up with mathematics
323
00:23:54,840 --> 00:23:57,320
that can deal with those other
things.
324
00:23:58,200 --> 00:24:04,480
We even have ways of formalizing
mathematical systems built in
325
00:24:04,480 --> 00:24:10,440
them.
But our minds are themselves, by
326
00:24:10,440 --> 00:24:14,720
construction, just those
one-dimensional strings of
327
00:24:14,720 --> 00:24:16,560
symbols.
That's our most powerful
328
00:24:16,560 --> 00:24:19,440
cognitive crash and everything
else.
329
00:24:19,440 --> 00:24:23,160
All the other mathematics we've
come up with is all formulated
330
00:24:23,160 --> 00:24:25,480
ultimately in terms of those
things.
331
00:24:27,760 --> 00:24:33,880
That says to me that it it's the
same thing as the question and
332
00:24:33,880 --> 00:24:38,720
answer of the Paramecium I these
other people rhapsodize about
333
00:24:38,720 --> 00:24:44,480
how powerful and impressive this
these little language things
334
00:24:44,480 --> 00:24:48,040
that we come up with are.
I instead look at them, and I am
335
00:24:48,040 --> 00:24:55,480
stunned by how impoverished, how
benighted, even with our
336
00:24:55,480 --> 00:24:59,000
cognitive constructs our actual
minds are.
337
00:25:00,520 --> 00:25:03,920
I I often think about the same
thing with regards to the
338
00:25:03,920 --> 00:25:06,640
conversation about
consciousness, because this
339
00:25:06,680 --> 00:25:11,240
almost linguistic limitation
that we're that we have, how do
340
00:25:11,240 --> 00:25:16,080
you think it impacts this field
where it seems that people can
341
00:25:16,080 --> 00:25:20,240
make claims, various different
views of consciousness?
342
00:25:20,240 --> 00:25:22,360
At this point, there's so many
different philosophical
343
00:25:22,360 --> 00:25:24,040
approaches, scientific
approaches.
344
00:25:24,560 --> 00:25:26,400
Do you think that's a
fundamental feature?
345
00:25:26,440 --> 00:25:29,680
Is this linguistic limitation to
our approach to consciousness as
346
00:25:29,680 --> 00:25:33,640
well?
Could be, but I view
347
00:25:33,640 --> 00:25:38,520
consciousness as.
That's why I find like
348
00:25:38,520 --> 00:25:42,040
experiments back to Ben Levitt
for example, You're probably
349
00:25:42,040 --> 00:25:46,320
familiar with his famous
experiments for the listeners.
350
00:25:47,280 --> 00:25:49,520
This is several decades old
work, and it's somewhat
351
00:25:49,520 --> 00:25:51,320
controversial now.
But there's been many, many
352
00:25:51,320 --> 00:25:54,440
similar studies where it's just
like the severing of the corpus
353
00:25:54,440 --> 00:25:58,520
callosum, where indicating
consciousness of fiction, he
354
00:25:58,520 --> 00:26:01,320
will actually have electrodes in
the brains of people,
355
00:26:01,320 --> 00:26:06,000
experimental subjects, where he
managed to ascertain that there
356
00:26:06,000 --> 00:26:09,600
was being asked to make very,
very simple decisions, like when
357
00:26:09,600 --> 00:26:12,840
to click a button on a little
sensor.
358
00:26:13,440 --> 00:26:17,280
And they actually made the
decision that the associated
359
00:26:18,160 --> 00:26:22,800
neurons in the motor cortex
started their firing process
360
00:26:23,280 --> 00:26:25,920
before they were conscious that
the decision had been made.
361
00:26:26,640 --> 00:26:29,360
But after the fact, they were
completely convinced that it was
362
00:26:29,560 --> 00:26:31,920
all under their own control.
Completely volitional.
363
00:26:33,080 --> 00:26:35,200
I think that there is no such
thing.
364
00:26:35,240 --> 00:26:37,000
I mean, there are other
philosophers who said this,
365
00:26:37,000 --> 00:26:41,520
people like Dan Dennett to a
degree that consciousness is
366
00:26:41,520 --> 00:26:45,640
basically a fable.
Now one can worry about what's
367
00:26:45,640 --> 00:26:48,120
the basis of it.
There's this work by this great
368
00:26:48,120 --> 00:26:51,000
guy.
Let's see is it.
369
00:26:51,320 --> 00:26:53,080
It's not Graziano.
It's.
370
00:26:53,080 --> 00:26:53,920
I follow it.
I think it.
371
00:26:54,040 --> 00:26:58,240
Is Graziano Michael Graziano?
There is Michael Graziano, but
372
00:26:58,240 --> 00:27:02,080
there's also another guy at A.
Prisoner Michael Gazzano is
373
00:27:02,520 --> 00:27:06,280
Michael Gazzaniga.
No, it's with an eye.
374
00:27:07,040 --> 00:27:14,480
Princeton psychology
consciousness.
375
00:27:16,480 --> 00:27:19,000
Who is Graziano?
You're right.
376
00:27:19,520 --> 00:27:21,800
It is Graziano.
Yeah.
377
00:27:22,840 --> 00:27:25,240
At Princeton, yeah.
He works on the attention schema
378
00:27:25,240 --> 00:27:26,760
theory.
Yeah, he does have a medical.
379
00:27:26,840 --> 00:27:29,560
Medical, yeah.
Yeah.
380
00:27:29,560 --> 00:27:32,680
So he just says, look, you know,
we've got brains that by natural
381
00:27:32,680 --> 00:27:39,960
selection were quote, designed
to be imputing these underlying
382
00:27:39,960 --> 00:27:42,320
processes behind all kinds of
phenomena.
383
00:27:42,680 --> 00:27:45,320
What would you expect to happen
if it looked inside?
384
00:27:45,960 --> 00:27:47,840
King Chen Chung would come up
with these things called
385
00:27:47,840 --> 00:27:51,560
consciousness.
So anyway, I mean there is
386
00:27:51,560 --> 00:27:54,080
something there to be
investigated from a scientific
387
00:27:54,080 --> 00:27:56,400
perspective.
There's also you can there's
388
00:27:56,400 --> 00:27:58,360
obviously degrees of
consciousness in terms of
389
00:27:58,360 --> 00:28:02,600
whether you're asleep or not and
things like this.
390
00:28:03,080 --> 00:28:07,000
But in terms of notions like
qualia what some philosophers
391
00:28:07,000 --> 00:28:09,400
and I won't name names called
the hard problem of
392
00:28:09,400 --> 00:28:14,520
Consciousness.
I think that there's no there's
393
00:28:14,520 --> 00:28:16,280
no there there.
The reason they're not making
394
00:28:16,280 --> 00:28:19,480
any progress I don't think is
anything is profound is that
395
00:28:19,480 --> 00:28:24,480
they're trying to use
one-dimensional strings of from
396
00:28:24,720 --> 00:28:29,240
symbols from a finite alphabet
to try to address this other
397
00:28:30,200 --> 00:28:35,000
kinds of scenario.
That's beyond the remit of such
398
00:28:35,000 --> 00:28:37,240
strings.
I think the solution is far
399
00:28:37,240 --> 00:28:39,640
simpler that no, there is no
there there.
400
00:28:40,360 --> 00:28:41,960
Yeah, now Michael looks very
fascinating.
401
00:28:42,000 --> 00:28:44,720
He, he, he talks about these
attentive mechanisms and once we
402
00:28:44,720 --> 00:28:47,400
introspect with it's, it's
almost obvious to conclude we
403
00:28:47,400 --> 00:28:50,520
have this sort of essence like
feature, but it's more of a
404
00:28:50,520 --> 00:28:52,440
caricature.
We don't really have that there.
405
00:28:53,160 --> 00:28:54,720
We don't really have it.
Yep.
406
00:28:54,840 --> 00:28:57,240
And the reason that people
haven't been able to come up
407
00:28:57,240 --> 00:29:01,320
with a good experimental test of
what qualia is, even though they
408
00:29:01,320 --> 00:29:06,360
now got these various ways of
trying to formalize what
409
00:29:06,360 --> 00:29:10,840
consciousness is, it's I would
say because there is no there
410
00:29:10,840 --> 00:29:13,760
there that it is just this
epiphenomenon.
411
00:29:15,360 --> 00:29:19,600
And it's a really weird kind of
a funky thing, somewhat similar
412
00:29:19,600 --> 00:29:21,480
in a different sense of this
whole notion that there is no
413
00:29:21,480 --> 00:29:25,280
concrete reality.
It's that if you actually have
414
00:29:25,280 --> 00:29:31,640
an explanation that is complete
and almost by definition, you
415
00:29:31,640 --> 00:29:33,880
cannot come up with an
experiment that would refute
416
00:29:33,880 --> 00:29:36,960
what it says.
Give it up folks.
417
00:29:36,960 --> 00:29:39,520
There's not you don't have any
basis for concluding there's
418
00:29:39,520 --> 00:29:44,120
anything more.
And that is a beautiful thing to
419
00:29:44,120 --> 00:29:46,520
me.
There is nothing more beautiful
420
00:29:46,520 --> 00:29:50,760
than to crush my own sense of
self worth.
421
00:29:51,600 --> 00:29:56,400
Lie on my back at night and look
up at the stars and try to three
422
00:29:56,400 --> 00:30:02,480
dimensionally project and to
internalize just how it goes
423
00:30:02,480 --> 00:30:05,880
beyond the word insignificant,
just how nothing I am.
424
00:30:07,400 --> 00:30:12,560
I find that to be the ultimate
in liberating because you know
425
00:30:12,640 --> 00:30:16,640
dude, whatever you're concerned
with it don't matter none.
426
00:30:17,680 --> 00:30:22,520
And it and it also by
emphasizing how much is beyond
427
00:30:22,520 --> 00:30:29,000
our possible kin.
That, to me, is more deeply
428
00:30:29,000 --> 00:30:32,120
spiritual than anything you'll
find actually in the world's
429
00:30:32,800 --> 00:30:36,200
major religions.
They all try to give an
430
00:30:36,200 --> 00:30:38,360
explanation of some sort or
other.
431
00:30:39,240 --> 00:30:41,440
And no, no, no.
The essence of it is that's
432
00:30:41,440 --> 00:30:44,560
beyond that.
So how do you do you think then?
433
00:30:44,840 --> 00:30:47,480
I mean considering the fact that
we have all these limitations,
434
00:30:47,960 --> 00:30:51,280
how do you think we can move
beyond them in order to sort of
435
00:30:51,560 --> 00:30:57,720
ascertain what is oh boy, that
is something I would truly I've.
436
00:30:58,920 --> 00:31:02,160
It's a question that I don't
think can be in some ways that's
437
00:31:02,160 --> 00:31:08,360
ultimately I'm what I'm finding
to be my life's underlying motif
438
00:31:08,360 --> 00:31:13,120
is to try to address that.
I do not think, or at least my
439
00:31:13,480 --> 00:31:16,840
inclination is that it cannot be
addressed directly head on.
440
00:31:17,800 --> 00:31:23,720
You must do it sideways.
So I think that there might be
441
00:31:23,760 --> 00:31:27,360
other and we need to have it in
all hands on deck kind of a
442
00:31:27,360 --> 00:31:32,720
thing.
So we definitely necessary is to
443
00:31:32,720 --> 00:31:36,600
have math and experiment there,
because those are the only
444
00:31:36,600 --> 00:31:40,760
things that are able to cut
through our own bullshit.
445
00:31:42,040 --> 00:31:46,040
The only thing that to actually
save us, possibly from believing
446
00:31:46,040 --> 00:31:48,400
our own hype and our own
propaganda, drinking our own
447
00:31:48,400 --> 00:31:53,320
Kool-aid, are math and its
scientific experiment, as
448
00:31:53,320 --> 00:31:57,400
limited as they are.
So it is necessary that they be
449
00:31:57,400 --> 00:32:00,360
front and centre.
But if we're going to have any
450
00:32:00,360 --> 00:32:02,560
prayer of getting there, I don't
think that they are quite
451
00:32:02,560 --> 00:32:04,920
sufficient.
It's all hands on deck, as I
452
00:32:04,920 --> 00:32:10,960
said, which means some of the
other aspects of things like
453
00:32:10,960 --> 00:32:15,600
what's sometimes called the
arts, some kind of synergy.
454
00:32:16,600 --> 00:32:20,800
I don't think any of the things
that people have come up with in
455
00:32:20,800 --> 00:32:24,720
terms of overlaps between the
arts and the sciences are
456
00:32:25,840 --> 00:32:27,480
frankly anything beyond
pathetic.
457
00:32:27,520 --> 00:32:31,680
I mean, look, here are some
beautiful images of the Eagle
458
00:32:31,680 --> 00:32:33,360
Nebula.
Yep, that's beautiful.
459
00:32:33,760 --> 00:32:37,240
Here, I'm trying to pretend that
these photographs to
460
00:32:37,240 --> 00:32:39,920
polarization lenses are
artistic.
461
00:32:40,120 --> 00:32:45,320
OK, well, cool relief for you.
Or going the other way, when
462
00:32:45,320 --> 00:32:47,400
scientists, you know, things
like science fiction.
463
00:32:47,400 --> 00:32:51,520
I'm a I'm a great fan.
But no, that is not actually
464
00:32:51,520 --> 00:32:54,200
integrating of the arts and the
sciences any kind of a deep
465
00:32:54,200 --> 00:32:57,080
level.
I think many people would like
466
00:32:57,080 --> 00:33:00,240
to do that.
And there's all kinds of cool,
467
00:33:00,240 --> 00:33:03,840
fun things, especially for like
getting your kids really
468
00:33:03,840 --> 00:33:07,480
interested in this stuff, you
know, sort of children's museums
469
00:33:07,480 --> 00:33:09,880
kinds of things.
But I don't think that there's
470
00:33:09,880 --> 00:33:18,320
anything that really is at the
foundations starting to have
471
00:33:18,320 --> 00:33:24,280
these two copulate, so to speak.
Do you think it's a silly
472
00:33:24,280 --> 00:33:27,480
question when people ask that
that very popular question of
473
00:33:27,920 --> 00:33:35,960
was math created or invented?
It's actually, I would say both.
474
00:33:36,640 --> 00:33:39,000
Here is this is going to be
maybe a workshop that I'm going
475
00:33:39,000 --> 00:33:42,640
to be putting on here at the SFI
actually, with a bunch of
476
00:33:43,960 --> 00:33:47,440
artists, philosophers,
physicists, mathematicians.
477
00:33:48,880 --> 00:33:52,400
I envision it almost as an
Uroboros, a snake eating its own
478
00:33:52,400 --> 00:33:58,920
tail.
I've sketched for you how math
479
00:33:58,920 --> 00:34:03,520
itself you can view all of the
what physicists call a theory of
480
00:34:03,520 --> 00:34:06,920
everything, string theory or
what whatever it is, it is
481
00:34:06,920 --> 00:34:12,520
written in math.
From that you get ultimately at
482
00:34:12,520 --> 00:34:15,040
the going beyond the Planck
scale.
483
00:34:15,040 --> 00:34:20,320
You get high energy theory.
You get quantum mechanics from
484
00:34:20,320 --> 00:34:22,440
that.
Ultimately this is the standard
485
00:34:23,120 --> 00:34:30,560
succession of magisteria of U.
You get chemistry, from which
486
00:34:30,560 --> 00:34:34,199
you will ultimately get things
like biology, from which you
487
00:34:34,239 --> 00:34:37,840
ultimately get things like
neurobiology, from which you
488
00:34:37,840 --> 00:34:40,199
ultimately get things like.
And you started this
489
00:34:40,199 --> 00:34:44,960
conversation with this with
humans constructing mathematics
490
00:34:45,960 --> 00:34:50,679
which pulls you full circle.
The damned snake eats its own
491
00:34:50,679 --> 00:34:54,800
tail, because once it's
constructing mathematics wholly
492
00:34:54,800 --> 00:34:58,800
ex would have deleted the
foundation was all about that
493
00:34:58,800 --> 00:35:02,600
mathematics.
I would almost view the question
494
00:35:02,600 --> 00:35:07,680
of invented or discovered as yes
and yes.
495
00:35:08,080 --> 00:35:12,000
One insertion point is that
Uroboros is being invented.
496
00:35:13,080 --> 00:35:15,200
The other point, it's being
discovered.
497
00:35:17,400 --> 00:35:21,120
There's another answer to it
which is more, well, frankly, a
498
00:35:21,120 --> 00:35:24,600
little bit pedestrian, which is
that mathematicians and
499
00:35:24,600 --> 00:35:28,720
physicists and so on all act as
though mathematics is
500
00:35:28,720 --> 00:35:30,800
discovered.
But if you push it to the wall,
501
00:35:31,240 --> 00:35:33,600
they'll say that no, well,
actually, I can't claim it's
502
00:35:33,600 --> 00:35:39,360
anything more than invented.
That's true as well, but in a
503
00:35:39,360 --> 00:35:43,800
certain sense that's just a
statement about how various
504
00:35:43,800 --> 00:35:47,320
mathematicians and scientists
view what it is that they do,
505
00:35:48,040 --> 00:35:52,400
rather than anything about the
IT underlying it all.
506
00:35:53,080 --> 00:35:58,520
So then, do you feel like Max
Tegmott's mathematical realism?
507
00:35:58,520 --> 00:36:00,840
Do you feel like you fall under
a similar category?
508
00:36:00,840 --> 00:36:06,240
In that sense, I view the the
starting point of the snake,
509
00:36:06,280 --> 00:36:07,960
yes.
When I was saying that any
510
00:36:07,960 --> 00:36:12,200
mathematical system is just as
real as one as another one that
511
00:36:12,240 --> 00:36:15,840
is down there at those
foundations.
512
00:36:17,840 --> 00:36:21,800
Once you go all the way up and
around and follow up on our
513
00:36:21,800 --> 00:36:25,200
particular mathematical system,
which is one that ends up with
514
00:36:25,280 --> 00:36:32,400
our neurobiology and our social
constructs, that particular one
515
00:36:32,400 --> 00:36:35,800
then comes back around.
But here's like another obvious
516
00:36:35,800 --> 00:36:39,080
question.
Adopt some other mathematical
517
00:36:39,080 --> 00:36:42,040
system down at the it's all
mathematics.
518
00:36:42,120 --> 00:36:47,520
Max Tegmark kind of level follow
it's reality up.
519
00:36:48,440 --> 00:36:52,640
We can't even imagine doing
this, but let's say you did, and
520
00:36:52,640 --> 00:36:56,480
let's say at some point it
actually turned the corner and
521
00:36:56,480 --> 00:37:01,920
came back to mathematics.
How would its mathematics differ
522
00:37:01,920 --> 00:37:06,160
from our mathematics?
Is there actually even more than
523
00:37:06,160 --> 00:37:08,000
one Uroboros where they're all
interested?
524
00:37:08,080 --> 00:37:14,720
Who's a blankly blank knows?
This is all abstract nonsense.
525
00:37:16,520 --> 00:37:19,080
The problem, though, is that
even though it is abstract
526
00:37:19,080 --> 00:37:22,840
nonsense, ultimately, if you
want to really sit down and
527
00:37:22,840 --> 00:37:27,920
spend time and drill on
anything, this is where you end
528
00:37:27,920 --> 00:37:31,120
up.
If you've got to go to the
529
00:37:31,160 --> 00:37:35,440
market and get some milk to
bring home well, if you start to
530
00:37:35,440 --> 00:37:39,680
really drill on any aspect of
that, what does driving amount
531
00:37:39,680 --> 00:37:41,240
to?
Well, driving amounts to
532
00:37:41,640 --> 00:37:45,880
thermodynamic processes that are
actually releasing free energy
533
00:37:46,120 --> 00:37:48,440
that is usable from certain
chemical reactions?
534
00:37:48,440 --> 00:37:50,640
Well, I mean then why they, what
do they store dynamics?
535
00:37:50,840 --> 00:37:52,440
Just start drilling anywhere
milk.
536
00:37:52,440 --> 00:37:55,720
What does milk amount to?
Why am I conceiving of milk in
537
00:37:55,720 --> 00:37:57,320
this way?
What does it mean for my me to
538
00:37:57,320 --> 00:38:00,840
view it as white?
Just start drilling on any one
539
00:38:00,840 --> 00:38:03,800
of these aspects of these sort
of oh, yeah, yeah, what is it I
540
00:38:03,800 --> 00:38:06,840
got to do this afternoon?
What's spend time with them?
541
00:38:06,840 --> 00:38:12,480
Once you, Wayne Thibo, used this
phrase about paintings that you
542
00:38:12,480 --> 00:38:18,280
must respect a painting, give it
time in front of it to really
543
00:38:18,280 --> 00:38:20,160
see what lessons it might teach
you.
544
00:38:21,080 --> 00:38:26,080
Similarly, once you respect any
aspect of your daily life, give
545
00:38:26,080 --> 00:38:28,760
it time.
So you sit in front of it and
546
00:38:28,760 --> 00:38:32,600
see what it might teach you.
Start drilling down on it.
547
00:38:32,600 --> 00:38:37,720
Just like there's a painting you
will end up, you can't avoid it
548
00:38:38,040 --> 00:38:40,720
going down into this abstract
nonsense.
549
00:38:41,720 --> 00:38:45,240
It goes well beyond how do we
know we're not brains into that
550
00:38:45,800 --> 00:38:49,360
or the modern version of it,
which people don't realize is
551
00:38:49,360 --> 00:38:51,720
that don't appreciate the same
question of how do we know
552
00:38:51,720 --> 00:38:53,760
whether we're simulations in a
computer.
553
00:38:54,600 --> 00:38:59,680
You don't keep on going.
Go past that all abstract
554
00:38:59,680 --> 00:39:02,400
nonsense and guess what?
That's all that any of it
555
00:39:02,440 --> 00:39:06,400
ultimately is.
And then I sit back on in the
556
00:39:06,480 --> 00:39:11,840
Meadow in the summer and look up
at the stars and just holy shit.
557
00:39:13,000 --> 00:39:16,320
Do you think this this universe
has some sort of a teleology
558
00:39:16,320 --> 00:39:21,120
built in it in terms of being
driven for a purpose some?
559
00:39:22,040 --> 00:39:26,520
Sort of a goal, Directedness.
Non religious some some sort of
560
00:39:26,520 --> 00:39:28,320
a.
Perhaps even a mathematical
561
00:39:28,960 --> 00:39:33,360
conclusion.
A mathematical system has no
562
00:39:33,360 --> 00:39:35,400
particular conclusion.
There is not even time.
563
00:39:36,640 --> 00:39:39,880
The block model of time is well
established in physics and well
564
00:39:39,880 --> 00:39:45,920
accepted that there is no actual
time moving all moments in time.
565
00:39:46,720 --> 00:39:49,080
Even within standard physics you
don't need to get down to Max
566
00:39:49,080 --> 00:39:51,560
Tegmark.
All moments in time exist
567
00:39:51,560 --> 00:39:55,960
simultaneously, so to speak.
There is no preferred one.
568
00:39:55,960 --> 00:40:00,520
There's no time itself in in the
laws of physics, it's a single
569
00:40:00,520 --> 00:40:02,960
variable.
It's not that there's a time
570
00:40:03,000 --> 00:40:06,200
axis and then a pointer moving
along it.
571
00:40:06,520 --> 00:40:10,640
Where you are here, it's only a
single variable.
572
00:40:11,080 --> 00:40:14,680
You can then do work on why it
is that we have what's called
573
00:40:14,680 --> 00:40:19,080
the psychological arrow, why we
think that time's actually got a
574
00:40:19,080 --> 00:40:24,760
preferred movement.
That actually it, it appears,
575
00:40:24,760 --> 00:40:29,120
can be completely explained by
the fact that we can remember
576
00:40:29,120 --> 00:40:33,480
the past far more accurately
than we can predict the future.
577
00:40:33,480 --> 00:40:38,480
Retro diction is completely
accurate compared to prediction
578
00:40:41,000 --> 00:40:43,600
that itself you can drill down
to the second law of
579
00:40:43,600 --> 00:40:47,120
thermodynamics.
So in terms of an unfolding
580
00:40:47,120 --> 00:40:51,480
process, the very notion of
unfolding in a certain sense is
581
00:40:51,480 --> 00:40:54,600
a vacuous one.
Is there going to be something
582
00:40:54,600 --> 00:40:58,640
at the late time periods that's
not there at the beginning time
583
00:40:58,640 --> 00:41:01,000
periods?
Sure.
584
00:41:01,440 --> 00:41:06,960
But I wouldn't glorify that with
any kind of a teleology, no kind
585
00:41:06,960 --> 00:41:11,160
of a goal that in a certain
important sense, there's not
586
00:41:11,160 --> 00:41:16,480
even any sense in which the end
time Trump's the beginning time.
587
00:41:16,480 --> 00:41:20,840
They're both equally real.
It's not that one is creating
588
00:41:20,840 --> 00:41:25,120
the other.
The the the microscopic laws of
589
00:41:25,120 --> 00:41:27,440
physics are time symmetric.
You could actually go backwards
590
00:41:27,440 --> 00:41:30,360
as it really is forwards.
Do do you think that
591
00:41:30,360 --> 00:41:34,120
philosophers of of science or
mathematic overdo it with these
592
00:41:34,400 --> 00:41:37,360
these abstract questions
regarding these phenomena?
593
00:41:38,920 --> 00:41:44,960
I think that they are wrong
headed because in that they are,
594
00:41:46,840 --> 00:41:51,000
they're looking out from inside
of their room through the
595
00:41:51,000 --> 00:41:57,920
windows and trying to understand
the distinctions between these
596
00:41:57,920 --> 00:42:00,520
distorted views that they're
seeing and what there's there
597
00:42:00,520 --> 00:42:05,360
inside the room.
If you instead go outside and
598
00:42:05,360 --> 00:42:10,320
adopt this point of view,
there's all just implications of
599
00:42:10,320 --> 00:42:13,720
mathematics that you're just
working it through all the
600
00:42:13,720 --> 00:42:17,560
things that I would say that so
many of the conundrums that seem
601
00:42:17,560 --> 00:42:24,160
so deep and intractable in
philosophy, they evanesce
602
00:42:24,520 --> 00:42:27,720
they're gone, there's there's
nothing left.
603
00:42:28,440 --> 00:42:31,360
The It's like in the Zen
Buddha's koan.
604
00:42:31,600 --> 00:42:34,360
The answer to the question is MU
and ask the question.
605
00:42:35,480 --> 00:42:38,320
And I think that that would
happen to much of at least
606
00:42:38,320 --> 00:42:43,360
what's considered Western
philosophy of science if one
607
00:42:44,480 --> 00:42:47,080
whole heart adopted these
understand these underlying
608
00:42:48,080 --> 00:42:50,680
lessons, for lack of a better
word, of math and science.
609
00:42:52,160 --> 00:42:57,440
David, I know you have time wise
you you find you because I think
610
00:42:57,800 --> 00:42:59,120
are you OK for time?
Yeah, Yeah.
611
00:42:59,160 --> 00:43:01,600
Yeah.
So I do have like, you know,
612
00:43:01,600 --> 00:43:04,960
maybe a few more minutes, but
then I will probably.
613
00:43:06,960 --> 00:43:10,880
David, if you had to think of.
Projects for mathematicians or
614
00:43:10,880 --> 00:43:14,600
scientists to embark on moving
forward to try and broaden those
615
00:43:14,600 --> 00:43:17,680
or expand those those limits
that we might have already.
616
00:43:17,880 --> 00:43:28,760
Where would you go with this?
I am not a poet.
617
00:43:28,760 --> 00:43:33,320
I'm a faker.
But I've got some dog rule on my
618
00:43:33,320 --> 00:43:42,640
Weebly website and whenever I am
in a mode of creating something
619
00:43:42,640 --> 00:43:47,720
that, if it were much better
than it is, might be graced with
620
00:43:47,720 --> 00:43:55,960
the with the moniker of a poem,
I don't come up them after at
621
00:43:55,960 --> 00:44:02,680
them directly.
I try to situate myself.
622
00:44:02,680 --> 00:44:10,440
I try to adopt A stance, almost
a wrestler's configuration, such
623
00:44:10,440 --> 00:44:19,440
that as things come through, I
can turn and exploit them.
624
00:44:19,440 --> 00:44:24,600
I try to be receptive to them
rather than just pursue One
625
00:44:24,600 --> 00:44:29,560
Direction.
These issues talk about
626
00:44:29,560 --> 00:44:31,720
respecting paintings like Wayne
Thibault.
627
00:44:32,200 --> 00:44:36,680
This one I respect even more
than those things that are up
628
00:44:36,680 --> 00:44:40,240
there on my website that I do
not know.
629
00:44:40,240 --> 00:44:46,280
I'm I've been trying to, in my
career, accumulate a set of
630
00:44:46,280 --> 00:44:49,680
different understandings.
I wouldn't glorify them by
631
00:44:49,680 --> 00:44:54,600
saying skill sets, but a
different perspectives that
632
00:44:54,600 --> 00:44:59,280
maybe, if I'm lucky, the only
chance that I have of getting
633
00:44:59,280 --> 00:45:02,280
anywhere would be that they
might all come together somehow
634
00:45:03,360 --> 00:45:07,960
if I am properly open upstairs,
so to speak.
635
00:45:09,040 --> 00:45:10,640
And that's the best that I can
do.
636
00:45:12,240 --> 00:45:16,600
Is, is there, is there any sort
of goal mathematically in terms
637
00:45:16,600 --> 00:45:20,040
of your work, something that
completely absorbs you and
638
00:45:20,040 --> 00:45:26,600
inspires you at this moment?
Oh lordy, I mean, I'm doing so
639
00:45:26,600 --> 00:45:29,320
many things at once to talk
about one of the things that we
640
00:45:29,320 --> 00:45:32,960
did earlier today.
I've been trying to figure out
641
00:45:33,000 --> 00:45:37,760
even what mathematical system to
use to go after analyzing
642
00:45:37,760 --> 00:45:41,680
stochastic mathematical systems
to try to see things like is
643
00:45:41,680 --> 00:45:45,240
Girdle's incompleteness theorem
robust or sensitive to noise?
644
00:45:45,240 --> 00:45:48,560
And so on.
Unfortunately, there's so many
645
00:45:48,560 --> 00:45:52,040
ways of formal the foundations
of mathematics.
646
00:45:52,560 --> 00:45:56,960
There's category theory.
There's various kinds of logic,
647
00:45:56,960 --> 00:45:59,880
2nd order logic with some
associated model theory.
648
00:46:00,480 --> 00:46:04,280
There are things like type
theory.
649
00:46:05,680 --> 00:46:08,720
You might be able to do some
stuff in terms of just using
650
00:46:08,720 --> 00:46:12,360
outlook information theory.
There's so many different ways
651
00:46:12,360 --> 00:46:17,560
of even trying to write down the
mathematics that you could then
652
00:46:17,560 --> 00:46:23,520
introduce stochasticity into.
That's one aspect of things that
653
00:46:24,000 --> 00:46:28,240
absorbs my attention.
But I'm involved with so very
654
00:46:28,240 --> 00:46:32,160
many different projects, many of
them far more prosaic than
655
00:46:32,160 --> 00:46:35,160
anything we talked about today.
I was just gonna say, I mean,
656
00:46:35,160 --> 00:46:37,240
your work touches on so many
different topics, and I think
657
00:46:37,240 --> 00:46:41,360
because the core concepts align
with these, our perceptions and
658
00:46:41,360 --> 00:46:44,240
cognitive abilities, it makes it
very fascinating for someone who
659
00:46:44,240 --> 00:46:45,880
doesn't have a mathematical
background.
660
00:46:46,600 --> 00:46:49,080
To to at least go over it
because it's it's way too
661
00:46:49,080 --> 00:46:51,440
complicated for someone who does
not have that mathematical
662
00:46:51,480 --> 00:46:53,440
background.
For me, it's too complicated for
663
00:46:53,440 --> 00:46:56,000
me.
Yeah, I I know what I am.
664
00:46:56,000 --> 00:47:00,520
I know my strengths.
I even have this on my website.
665
00:47:01,960 --> 00:47:04,920
I am not careful enough to be an
experimentalist, but I'm not
666
00:47:04,920 --> 00:47:06,760
smart enough to be a
mathematician.
667
00:47:08,120 --> 00:47:12,400
I everything else is fair game.
But I'm not a mathematician.
668
00:47:12,560 --> 00:47:16,080
I am in awe of mathematicians.
I don't yet.
669
00:47:16,360 --> 00:47:20,360
I still do not understand how it
is that end of the story.
670
00:47:20,680 --> 00:47:23,320
When I way back in the day when
I was an undergrad, I had
671
00:47:23,320 --> 00:47:25,520
Princeton.
Like many others, I'm in my
672
00:47:25,520 --> 00:47:27,880
cohort.
We were trying to figure out,
673
00:47:27,880 --> 00:47:30,880
well, we want to go into.
In this case, it was writing,
674
00:47:31,560 --> 00:47:36,160
creative writing, mathematics or
physics, creative writing.
675
00:47:36,160 --> 00:47:40,320
I very quickly passed that
because I knew that, among other
676
00:47:40,320 --> 00:47:42,440
things, there's no way you can
make a living out of it.
677
00:47:42,440 --> 00:47:44,440
And I didn't really think I had
the chops there.
678
00:47:44,720 --> 00:47:47,640
It was fascinating to look at
those who went one way or the
679
00:47:47,640 --> 00:47:53,880
other on math versus physics,
The ones who went into math they
680
00:47:54,360 --> 00:47:58,760
perceived and felt they weren't
actually able to do the physics
681
00:47:58,760 --> 00:48:02,320
very well.
And those who went into physics,
682
00:48:02,320 --> 00:48:05,600
at least ones like me, as
opposed to the monster minds who
683
00:48:05,600 --> 00:48:10,400
can do, you know, the Ed Wittens
who can do all the ones like me.
684
00:48:10,400 --> 00:48:15,080
It was the math that was more
daunting and I never really
685
00:48:15,080 --> 00:48:17,280
understood it.
I didn't understand the.
686
00:48:17,640 --> 00:48:21,360
To me, I am still more impressed
by math because what I cannot do
687
00:48:21,720 --> 00:48:24,920
I what I don't understand is how
it is that the mathematicians,
688
00:48:25,360 --> 00:48:27,440
those minds of which I am such
an awe.
689
00:48:28,440 --> 00:48:31,440
That's why it is that they keep
sort of screwing up in these
690
00:48:31,440 --> 00:48:35,560
very simple ways when they try
to solve things in the sciences.
691
00:48:37,160 --> 00:48:38,800
So anyway, something about
differences.
692
00:48:38,800 --> 00:48:41,960
But I'm not a mathematician, I'm
in all.
693
00:48:42,160 --> 00:48:43,880
Mathematicians.
I mean anyone who can make up
694
00:48:43,880 --> 00:48:46,720
theorems, and I mean do that.
I think you you definitely claim
695
00:48:46,720 --> 00:48:50,520
that that that label you yield
greatness.
696
00:48:51,720 --> 00:48:58,000
OK, math has very many purposes.
One of them is just to actually
697
00:48:58,480 --> 00:49:01,200
make you understand what it is
you're thinking in the 1st
698
00:49:01,200 --> 00:49:02,600
place.
If you can't formalize it
699
00:49:02,600 --> 00:49:06,000
mathematically, chances are
you're bullshitting yourself.
700
00:49:07,120 --> 00:49:12,400
And that's one of its purposes.
And that's one that I do exploit
701
00:49:12,400 --> 00:49:14,520
many, many times in many, many
different arenas, yeah.
702
00:49:14,680 --> 00:49:15,960
And I think you can see that in
the work.
703
00:49:15,960 --> 00:49:18,280
Well, I mean, I know, I know
you're stuck for time.
704
00:49:18,680 --> 00:49:20,600
David, thank you so much for
joining me.
705
00:49:21,360 --> 00:49:23,120
Well, thanks for having me.
00:00:10,000 --> 00:00:14,080
David, I'd like to ask you how
does how do humans construct
2
00:00:14,080 --> 00:00:18,120
math and how does math construct
universes?
3
00:00:21,120 --> 00:00:26,240
OK, the second one's easier than
the first one.
4
00:00:26,240 --> 00:00:33,000
How do humans construct math?
Nobody knows it's a It is known
5
00:00:33,000 --> 00:00:37,640
that the stochastic process,
that if you look at things just
6
00:00:37,640 --> 00:00:42,680
historically or the psychology
literature, you'll see that
7
00:00:43,360 --> 00:00:49,080
there it's actually almost like
a random search and people start
8
00:00:49,080 --> 00:00:52,000
going down certain directions,
they find it doesn't work, they
9
00:00:52,000 --> 00:00:55,720
back it up.
So depending on the level of
10
00:00:55,720 --> 00:00:59,240
granularity you want to get
into, there's something going on
11
00:00:59,680 --> 00:01:02,520
down the level of neurons and
neurobiology of course.
12
00:01:04,040 --> 00:01:07,760
But in terms of the
phenomenology, sometimes there
13
00:01:07,760 --> 00:01:11,840
are mistakes made.
Very often there are oversights,
14
00:01:11,840 --> 00:01:16,640
like for several thousand years
people were trying to prove
15
00:01:17,000 --> 00:01:22,360
Euclid's parallel lines
conjecture from the other axioms
16
00:01:22,360 --> 00:01:26,040
of.
Euclidean geometry until finally
17
00:01:26,040 --> 00:01:29,480
somebody got brave enough to
say, well what if it actually
18
00:01:29,480 --> 00:01:34,720
doesn't follow from the others,
and out of that ensued all of
19
00:01:34,720 --> 00:01:40,040
non Euclidean geometry,
differential geometry, the basis
20
00:01:40,040 --> 00:01:42,520
of general relativity and so on
and so forth.
21
00:01:43,400 --> 00:01:46,920
Similarly, at the end of the
beginning of the 20th century,
22
00:01:46,920 --> 00:01:51,760
David Hilbert famously or
infamously said.
23
00:01:52,480 --> 00:01:57,160
We must know, We will know
concerning how to put together
24
00:01:57,160 --> 00:02:02,720
an automated algorithm that
would be able to deduce all of
25
00:02:02,720 --> 00:02:06,440
the correct theorems in
mathematics and none of the
26
00:02:06,440 --> 00:02:10,880
incorrect ones, and then girdle
and Turing and show on prove
27
00:02:10,880 --> 00:02:16,400
that no, you're wrong.
So the overall process of humans
28
00:02:16,400 --> 00:02:20,560
constructing mathematics is a
little bit of a guided.
29
00:02:21,160 --> 00:02:27,200
Random search and that's really
about as far as we know at the
30
00:02:27,200 --> 00:02:34,560
level of the actual
neurobiology, what's going on
31
00:02:34,560 --> 00:02:38,680
inside of the human, the OR the
associated psychology, the
32
00:02:38,680 --> 00:02:42,640
effects of it, the phenomenology
going the other way.
33
00:02:44,160 --> 00:02:47,480
That one, from a certain
perspective, is far cleaner to
34
00:02:47,480 --> 00:02:51,840
understand, but.
Very, very few.
35
00:02:51,880 --> 00:02:54,080
Few humans are willing to accept
it.
36
00:02:54,080 --> 00:03:01,240
So basically, this is of course
my.
37
00:03:01,520 --> 00:03:05,760
I'm going to couch this in an
extreme version which reflects
38
00:03:05,760 --> 00:03:14,840
my perception of things.
First thing to understand is
39
00:03:14,840 --> 00:03:19,280
that all of consciousness is
basically a fiction.
40
00:03:19,280 --> 00:03:23,240
It's a.
Post hoc story we make up after
41
00:03:23,240 --> 00:03:26,720
the fact to give us the illusion
that we're in control because
42
00:03:26,720 --> 00:03:30,600
we're such control freaks.
There's many neurobiology
43
00:03:30,600 --> 00:03:35,400
experiments demonstrating that
people think that they know why
44
00:03:35,400 --> 00:03:38,520
they made a decision as
demonstrably not true.
45
00:03:39,160 --> 00:03:42,400
They're these fascinating
experiments with people who had
46
00:03:42,400 --> 00:03:46,320
the corpus callosum severed.
So that they've actually got two
47
00:03:46,320 --> 00:03:50,440
brains, two separate minds, not
talking to one another directly
48
00:03:51,000 --> 00:03:54,400
inside of their head.
And you can arrange it so that
49
00:03:54,400 --> 00:03:57,440
each hemisphere can be asked
questions.
50
00:03:58,080 --> 00:04:00,960
Why?
So you can arrange it so that
51
00:04:00,960 --> 00:04:04,920
one hemisphere is in control of
doing something like drawing or
52
00:04:04,920 --> 00:04:07,640
something like that, and the
other hemisphere can be asked,
53
00:04:07,640 --> 00:04:11,320
well, why are you doing that?
It cannot.
54
00:04:11,320 --> 00:04:15,880
No, it's physically impossible.
But that other hemisphere is
55
00:04:15,880 --> 00:04:22,200
completely convinced, just as we
are convinced as humans if our
56
00:04:22,200 --> 00:04:25,200
quote complete brains.
But it actually understands
57
00:04:25,200 --> 00:04:27,800
what's going on, the
motivations, the rationales, the
58
00:04:27,800 --> 00:04:31,720
reasons it's a post hoc fable
made-up after the fact to give
59
00:04:31,720 --> 00:04:33,120
us the illusion we're in
control.
60
00:04:34,720 --> 00:04:41,120
So adopting that perspective, a
lot of what seemed to be such
61
00:04:41,160 --> 00:04:44,160
very deep questions in
philosophy.
62
00:04:45,160 --> 00:04:50,080
Having to do with philosophy of
science, of the difference
63
00:04:50,080 --> 00:04:54,840
between physical reality and the
models we came up with, all of
64
00:04:54,840 --> 00:04:59,560
the battles of starting back in
contact, at least with logical
65
00:04:59,560 --> 00:05:02,680
positivism, synthetic versus
analytic, blah blah blah.
66
00:05:04,080 --> 00:05:07,480
And all of that is driven,
ultimately in a certain sense,
67
00:05:07,480 --> 00:05:13,840
by humans believing themselves,
and it's can all be explained.
68
00:05:14,600 --> 00:05:19,040
As simply what is the result of
mathematics?
69
00:05:19,920 --> 00:05:27,400
If you adopt the we, you cannot
almost by definition have any
70
00:05:27,400 --> 00:05:33,520
experiment which will refute the
hypothesis that all of physics,
71
00:05:33,520 --> 00:05:38,680
all of physical reality, is just
mathematical laws, and all of
72
00:05:38,680 --> 00:05:40,800
the experiments we can do are
just.
73
00:05:42,720 --> 00:05:46,440
Calculating what the results of
problem set examples are for
74
00:05:46,440 --> 00:05:50,360
those mathematical laws.
In particular, all of our
75
00:05:50,360 --> 00:05:55,120
neurobiology is such, all of our
sense of minds is such.
76
00:05:55,560 --> 00:05:58,200
And that's where the notion that
all of consciousness is a
77
00:05:58,200 --> 00:06:03,000
fiction plays a key role,
because it just eviscerates the
78
00:06:03,000 --> 00:06:05,840
notion that there's anything
there more than neurobiology,
79
00:06:06,240 --> 00:06:09,480
that there's anything there that
not as reducible, just reducible
80
00:06:09,480 --> 00:06:12,840
to physics.
And the physics itself is just
81
00:06:12,840 --> 00:06:15,080
math.
You don't need anything else.
82
00:06:15,880 --> 00:06:20,560
Max Tegmark has some good work
in Annals of Physics, and so on,
83
00:06:20,560 --> 00:06:24,040
some of his more formal analysis
of what some people call
84
00:06:24,040 --> 00:06:28,800
multiverse.
Any mathematical system is just
85
00:06:28,800 --> 00:06:32,280
as legitimate as any other, just
as real as any other.
86
00:06:33,080 --> 00:06:36,480
The pawns on a chess board think
the rules of chess are.
87
00:06:37,280 --> 00:06:40,720
Physical and are real in the
exact same sense that I, right
88
00:06:40,720 --> 00:06:44,960
now hitting my fists together,
think that the laws of Newtonian
89
00:06:44,960 --> 00:06:47,640
physics are real.
There's no way that you can
90
00:06:47,640 --> 00:06:51,600
actually design an experiment
that can say anything more than
91
00:06:51,600 --> 00:06:54,880
you are part of that particular
mathematical system.
92
00:06:55,560 --> 00:06:58,440
There's no sense in which one is
more real than the other.
93
00:06:59,240 --> 00:07:02,960
Reality itself is ultimately A
vacuous concept.
94
00:07:03,320 --> 00:07:05,680
It is just a mathematical
system.
95
00:07:07,240 --> 00:07:10,560
And that's all it is.
That is when I first learned
96
00:07:10,560 --> 00:07:15,640
quantum mechanics, way back when
people like to say, oh, it's
97
00:07:15,640 --> 00:07:18,560
deep philosophical implications
have to do with things like wave
98
00:07:18,560 --> 00:07:22,360
particle duality and this, that
and the other.
99
00:07:23,920 --> 00:07:27,320
Actually, no.
What I understand the deep
100
00:07:27,320 --> 00:07:32,640
importance of quantum physics to
be after all the courses I took
101
00:07:32,640 --> 00:07:36,000
on it and so on, is rather the
following.
102
00:07:37,240 --> 00:07:43,640
To be able to actually fully
accurately predict what the
103
00:07:43,640 --> 00:07:49,360
results of a physical experiment
will be, it is crucial that you
104
00:07:49,360 --> 00:07:52,480
actually build into your model
all of the details of the
105
00:07:52,480 --> 00:07:56,560
observational apparatus.
This was the big insight of a
106
00:07:56,560 --> 00:08:01,040
fellow called Everett, who some
people have said he was the
107
00:08:01,040 --> 00:08:04,800
originator what's now called the
many worlds interpretation of
108
00:08:04,800 --> 00:08:07,400
quantum mechanics.
Which really is what lies
109
00:08:07,400 --> 00:08:13,840
underneath all of quantum
computing, by the way, that it's
110
00:08:14,160 --> 00:08:21,800
only possible to actually fully,
accurately deploy the
111
00:08:22,160 --> 00:08:24,720
Schrodinger's equation, the
mathematics of quantum
112
00:08:24,720 --> 00:08:27,880
mechanics, when everything is
accounted for.
113
00:08:28,240 --> 00:08:32,240
And by the way, once everything
is accounted for, there's
114
00:08:32,240 --> 00:08:36,360
nothing left over.
There is no room.
115
00:08:36,360 --> 00:08:40,679
There is no need for some kind
of a physical reality that is
116
00:08:40,679 --> 00:08:45,640
out there that our mathematics
is just describing where it is
117
00:08:45,640 --> 00:08:50,240
in some sense, that there's this
concrete thing that is in some
118
00:08:50,240 --> 00:08:53,920
sense of a different kind than
our mathematics.
119
00:08:54,600 --> 00:08:58,800
Yes, our mathematics and our
sciences right now is just an
120
00:08:58,800 --> 00:09:02,080
approximation.
It is not what?
121
00:09:02,960 --> 00:09:07,440
Whatever the underlying
mathematics is, we're just
122
00:09:07,440 --> 00:09:10,000
fumbling around in the dark.
That gets back to the beginning
123
00:09:10,000 --> 00:09:13,960
part of the question you asked
my response about How is it that
124
00:09:13,960 --> 00:09:16,240
humans create math?
It's also how humans create
125
00:09:16,240 --> 00:09:21,840
sciences.
The same thing, but there is no
126
00:09:21,880 --> 00:09:25,160
reason to believe that it is
anything more than trying to
127
00:09:25,160 --> 00:09:28,200
approximate 1 mathematical
system with another.
128
00:09:28,800 --> 00:09:34,280
And the crucial thing is.
It's impossible to conceive of
129
00:09:34,320 --> 00:09:39,360
any way of actually conclusively
ascertaining that there is
130
00:09:39,360 --> 00:09:44,480
anything to physical reality
other than in mathematical
131
00:09:44,480 --> 00:09:47,800
system which has as part of it
us.
132
00:09:49,640 --> 00:09:54,360
So that was a huge bladder of a
monologue going all over the
133
00:09:54,400 --> 00:09:56,400
map.
I hope it.
134
00:09:56,400 --> 00:09:59,120
I mean it, it's fine, it's
informative and I think you you
135
00:09:59,120 --> 00:10:01,160
mentioned those approximations.
So we're obviously using
136
00:10:01,160 --> 00:10:05,000
specific or actually I think it
would be a better idea for us.
137
00:10:05,200 --> 00:10:08,680
Let's briefly touch on how what
type of mathematical systems you
138
00:10:08,680 --> 00:10:10,520
mentioned stochastic
mathematical systems.
139
00:10:10,720 --> 00:10:16,320
Let's touch on what that is and
then how we as inference
140
00:10:16,640 --> 00:10:20,160
devices, as you like to call it.
How are these concepts linked
141
00:10:20,920 --> 00:10:23,360
and at what point does that
affect our perception of
142
00:10:23,360 --> 00:10:26,560
reality?
OK, so several different things
143
00:10:26,880 --> 00:10:28,480
there.
First, yeah.
144
00:10:28,480 --> 00:10:31,360
And when you refer to stochastic
mathematical systems, that's
145
00:10:31,760 --> 00:10:34,600
work that I've been involved
with with a philosopher, David
146
00:10:34,600 --> 00:10:46,800
Kinney, which in a certain OK,
so there are right now things
147
00:10:46,800 --> 00:10:50,920
like what are called theorem
provers, proof assistants, which
148
00:10:50,920 --> 00:10:55,640
are going to be very, very good.
One of the currently the ones
149
00:10:55,640 --> 00:10:59,320
that's most popular, most
powerful people can Google it.
150
00:10:59,320 --> 00:11:04,040
It's it's lean LEAN.
An earlier one had the
151
00:11:04,040 --> 00:11:08,600
unfortunate pronunciation of
cock COCOQ.
152
00:11:08,600 --> 00:11:11,240
It.
It's a come from the French and
153
00:11:11,240 --> 00:11:13,560
people have actually now gotten
to where they actually have been
154
00:11:13,560 --> 00:11:16,640
using these to prove some
theorems.
155
00:11:17,320 --> 00:11:21,400
The reason I mentioned that is
you can actually use these to.
156
00:11:22,120 --> 00:11:27,120
Look at the entire networks of
implications underlying
157
00:11:28,040 --> 00:11:30,360
important theorems in
mathematics, like Godel's and
158
00:11:30,360 --> 00:11:32,880
completeness theorem, the
Pythagorean theorem, and so on.
159
00:11:35,000 --> 00:11:39,560
That network of implications of
these ones are combined to give
160
00:11:39,560 --> 00:11:42,160
that one, which is combined to
give the next one, and so on.
161
00:11:43,160 --> 00:11:46,800
They can be modelled more or
less effectively.
162
00:11:47,840 --> 00:11:52,160
As a stochastic process where
you are doing a branching
163
00:11:52,280 --> 00:11:58,960
network growth kind of a system.
SO1 aspect of things is that
164
00:11:58,960 --> 00:12:02,720
that is a model of a stochastic
mathematical system that is the
165
00:12:02,720 --> 00:12:06,040
one that describes human
behaviour, human mathematician
166
00:12:06,040 --> 00:12:11,480
behaviour or might the it's all
very very early days, that kind
167
00:12:11,480 --> 00:12:15,680
of work.
Now this work that I did with
168
00:12:15,680 --> 00:12:19,120
David Kinney.
In a certain sense, it can be
169
00:12:19,120 --> 00:12:23,280
motivated by the following.
As I mentioned before, every
170
00:12:23,280 --> 00:12:30,080
time in history when a
foundational supposition of
171
00:12:30,080 --> 00:12:36,000
mathematics was weakened, great
riches ensued when people gave
172
00:12:36,000 --> 00:12:39,760
up on the notion that the
Euclidean that the parallelite
173
00:12:39,840 --> 00:12:42,680
hypothesis had to be true
allowed it to be false.
174
00:12:44,160 --> 00:12:47,680
Cornucopias were just the the
pinata was just smashed open.
175
00:12:48,560 --> 00:12:52,200
Similarly, when people realize
that things like the continuum
176
00:12:52,200 --> 00:12:56,080
hypothesis that there is an
Infinity that lies between now
177
00:12:56,080 --> 00:12:59,360
the integers and the reels, you
could take it or leave it.
178
00:13:00,200 --> 00:13:03,120
Great riches ensued.
The axiom of choice, a similar
179
00:13:03,120 --> 00:13:05,720
thing.
I mentioned David Hilbert when
180
00:13:05,720 --> 00:13:12,000
that rigid conviction was
relaxed, which is like.
181
00:13:12,600 --> 00:13:16,800
I was forced upon mathematicians
essentially by Girdle and Turing
182
00:13:16,800 --> 00:13:20,560
and and many others.
Great riches ensued.
183
00:13:20,560 --> 00:13:23,840
We now have these really deep
stuff that provides these
184
00:13:23,840 --> 00:13:26,640
limitations on mathematics
itself.
185
00:13:27,760 --> 00:13:29,920
In some senses.
I think these are by far the
186
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deepest philosophical results
that all of humanity has ever
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been able to generate.
Is one's having to do with the
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foundations of mathematics and
computation?
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So we, David Kinney and I said,
well, given that the way that
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real mathematicians work is by
the somewhat stochastic random
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process, why don't we sort of
see what might come out of it if
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we similarly weaken one of the
foundational convictions of all
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of mathematics?
Which is that mathematical
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implication is deterministic.
It is rigid.
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It is true.
It is probability one or zero.
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That is what we would want to be
the case.
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But if you look at how
mathematicians actually work,
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it's not the case.
Among other things, you can
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never be sure that any
implication is 100% true.
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People have found non trivial
flaws in proofs well after they
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were first suggested.
So there's always a finite
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probability that what we think
is actually ironclad is wrong.
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And let's just look at the
implications if mathematics
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itself, not just humans doing
math, had that structure.
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And also of course we can look
at what the implications might
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be for then OK, for laws of
physics are themselves simply a
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special case of mathematics.
What if the laws of physics?
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We're random, so we're all
somewhat comfortable with
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quantum mechanics saying the
actual variables in physics are
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random, But what would happen if
some of the laws will be
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somewhat random as well?
So this, and it's still, to put
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up mildly, very early days.
We don't know if there's
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anything of value that will come
out of this, but we're starting
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to explore a little bit of that
to see where it might get us.
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They will have a lot of value
for the community that's
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involved, that's concerned with
the sociology of mathematics as
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a profession and so on.
But these more deep issues are
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saying what if physics and
potentially even math itself are
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fundamentally stochastic, this
way still to be determined.
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I mean to give a simple example,
though, wouldn't it be fantastic
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00:15:54,400 --> 00:15:58,800
to be able to even give an
answer to the question of is
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00:15:58,800 --> 00:16:04,560
Girdle's incompleteness there?
Which seemingly guts Hilbert's
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00:16:05,680 --> 00:16:09,440
goal conviction of what
mathematics had to be.
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What if that gutting of Hilbert
were itself particularly
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sensitive to any kind of noise
in the stochastic mathematical
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steps that led to its
derivation, so it itself could
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00:16:25,400 --> 00:16:29,240
fall apart very easily?
What might that even mean?
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I haven't the faintest idea.
Go ahead, continue.
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00:16:37,480 --> 00:16:40,720
Well, that's got to do with
stochastic mathematical systems.
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Inference devices is a different
body of work, and so are things
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like the No Free Lunch theorems.
And ultimately, I think they
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sort of do need to be brought
together because they've all.
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00:16:59,720 --> 00:17:02,320
Well, I mean, anything
ultimately needs to be unified
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00:17:02,320 --> 00:17:06,440
if it's all concerning the same
ultimate coherence goal.
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But inference devices really
goes after different things.
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00:17:11,760 --> 00:17:17,119
It talks much more about the
foundations of science and
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basically says that any
scientific mathematical system.
238
00:17:26,079 --> 00:17:29,240
If it were to be able to
describe more than one
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00:17:29,240 --> 00:17:35,080
simultaneous scientist and more
than one simultaneous inference
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00:17:35,080 --> 00:17:41,920
device, then there will be
strong limitations on whether or
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00:17:41,920 --> 00:17:47,760
not both of them could actually
be correct, and this is true no
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matter what the underlying
mathematical system is.
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00:17:52,040 --> 00:17:54,800
So it actually has some
implications, potentially
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00:17:54,800 --> 00:18:00,120
depending on if you really want
to squint and perhaps some
245
00:18:00,120 --> 00:18:03,480
sniff, a little too much
laughing gas, nitrous oxide.
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00:18:03,920 --> 00:18:07,920
It's got potentially some things
you might want to say concerning
247
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even religion.
There's a theorem, the
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00:18:12,280 --> 00:18:15,760
monotheism theorem, which
basically says that in the sense
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of it being an inference device,
you cannot have more than two
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00:18:19,920 --> 00:18:22,640
deities.
You cannot have more than two
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00:18:23,080 --> 00:18:25,880
systems that are making
predictions, both of which are
252
00:18:25,880 --> 00:18:30,480
correct.
So it's it's really though like
253
00:18:30,600 --> 00:18:33,400
a different body of work from
the stochastic mathematical
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00:18:33,400 --> 00:18:36,040
systems work.
When I was I was briefly
255
00:18:36,040 --> 00:18:41,400
touching on this, the fact that
as infant devices or as because
256
00:18:41,400 --> 00:18:45,040
we have these approximations in
general, something you work on
257
00:18:45,040 --> 00:18:49,280
quite often is what can we
really know about that which we
258
00:18:49,280 --> 00:18:53,640
cannot even imagine?
Are they these hard limits to
259
00:18:53,640 --> 00:19:00,600
the universe?
Yeah, so that's that's what
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you're touching on now as a as
an essay that I wrote, which is,
261
00:19:06,840 --> 00:19:09,240
I've not even been able to
figure out a way to even start
262
00:19:09,240 --> 00:19:12,640
to grapple with this
mathematically.
263
00:19:13,400 --> 00:19:14,920
Here's one way of thinking of
it.
264
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It's a cliche.
Many people have pointed out
265
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that oh, a Paramecium, my dog
over there, could not understand
266
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the answers we might provide to
certain questions.
267
00:19:32,280 --> 00:19:35,160
And some people have noted that
oh, at the point of fact, they
268
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might not even understand the
questions.
269
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But if you think about it, it's
something like a unicellular
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00:19:40,320 --> 00:19:45,600
Organism, a Paramecium.
It doesn't even understand in
271
00:19:45,600 --> 00:19:48,320
any way, shape or form, whatever
that word might even mean.
272
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What a question is, and what the
significance of questions and
273
00:19:54,040 --> 00:19:58,080
answers are for any kind of
appreciation of physical
274
00:19:58,080 --> 00:20:01,480
reality.
It's not just that the physical
275
00:20:01,480 --> 00:20:09,080
reality of a paramecium might be
a gradient in some kind of free
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00:20:09,080 --> 00:20:12,680
energy source that it would then
use chemotaxis to try to follow,
277
00:20:12,680 --> 00:20:17,280
and so on.
It's it's not just that that is
278
00:20:17,280 --> 00:20:19,320
this entire conception of
reality.
279
00:20:21,160 --> 00:20:24,960
It's that it doesn't even
understand that things like
280
00:20:24,960 --> 00:20:31,040
questions and answers could lead
to anything that's outside of
281
00:20:31,040 --> 00:20:32,680
that.
It doesn't even understand that
282
00:20:32,680 --> 00:20:40,440
simple concept.
So the obvious follow up thought
283
00:20:40,480 --> 00:20:46,840
is what are the analogies for us
of what questions are for
284
00:20:46,840 --> 00:20:50,840
Paramecia?
It's not just what are the
285
00:20:50,920 --> 00:20:54,160
answers to questions that we
cannot understand.
286
00:20:55,120 --> 00:20:58,240
It's not just what are the
questions that we cannot even
287
00:20:58,240 --> 00:21:05,800
formulate, it's what are the
cognitive constructs like
288
00:21:05,800 --> 00:21:12,240
questions and answers in the 1st
place that are beyond our 10
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00:21:13,200 --> 00:21:15,960
that are beyond our ability to
even imagine.
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00:21:18,880 --> 00:21:24,400
I don't even know how to go
about addressing that question
291
00:21:25,000 --> 00:21:28,400
being sort of copernican to the
core, that there's nothing
292
00:21:28,400 --> 00:21:33,640
special about humans.
Given that that issue in various
293
00:21:33,640 --> 00:21:38,720
forms is there for all other
biological systems on planet
294
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Earth, it's got to be there for
us as well, and I don't even
295
00:21:44,840 --> 00:21:48,320
know how exactly how to go past
that point.
296
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I know because one of your
follow up questions in your own
297
00:21:50,960 --> 00:21:55,400
paper was along along the lines
of how would our perception of
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00:21:55,400 --> 00:22:01,040
reality change if we were able
to expand math to include
299
00:22:01,040 --> 00:22:04,440
infinite strings of symbols?
Have you given that any more
300
00:22:04,440 --> 00:22:09,760
thought?
So there's a there's a key thing
301
00:22:09,760 --> 00:22:11,240
here.
So what you're alluding to there
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00:22:11,240 --> 00:22:18,000
is this, that communication
language, if we're really a
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00:22:18,000 --> 00:22:20,320
monster, is a cognitive crutch
that humans have.
304
00:22:20,800 --> 00:22:27,400
Human species, Homo sapiens has
come up with to try to augment
305
00:22:27,400 --> 00:22:29,160
our own intelligence.
It's a tool.
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Language is a tool.
Many philosophers slash
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00:22:37,320 --> 00:22:42,280
scientists are just besotted
with the magic of the power of
308
00:22:42,280 --> 00:22:46,080
the particular tool that we have
come up with, in particular its
309
00:22:46,080 --> 00:22:50,280
ability to have self reference,
which is the foundation of
310
00:22:50,280 --> 00:22:52,560
girdle and Turing and so on and
so forth.
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00:22:54,880 --> 00:23:00,440
I instead look at human language
and just notice some particular
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00:23:00,440 --> 00:23:05,160
aspects of it.
It consists of only
313
00:23:06,800 --> 00:23:12,680
one-dimensional strings, where
every element in the string is
314
00:23:12,680 --> 00:23:16,760
chosen from some finite
alphabet, and when there's only
315
00:23:16,760 --> 00:23:19,600
a finite number of symbols in
that string.
316
00:23:19,600 --> 00:23:26,520
Any book is just that.
All of mathematics, when it's
317
00:23:26,520 --> 00:23:30,360
written in in the actual
textbooks, in the proofs that
318
00:23:30,360 --> 00:23:32,560
mathematicians sent back to one
another.
319
00:23:33,160 --> 00:23:39,520
That's all it amounts to.
We know mathematically that
320
00:23:39,520 --> 00:23:44,240
there is vastly richer
structures than just
321
00:23:44,240 --> 00:23:48,960
one-dimensional finite strings
of chosen from a finite
322
00:23:48,960 --> 00:23:54,840
alphabet.
We have come up with mathematics
323
00:23:54,840 --> 00:23:57,320
that can deal with those other
things.
324
00:23:58,200 --> 00:24:04,480
We even have ways of formalizing
mathematical systems built in
325
00:24:04,480 --> 00:24:10,440
them.
But our minds are themselves, by
326
00:24:10,440 --> 00:24:14,720
construction, just those
one-dimensional strings of
327
00:24:14,720 --> 00:24:16,560
symbols.
That's our most powerful
328
00:24:16,560 --> 00:24:19,440
cognitive crash and everything
else.
329
00:24:19,440 --> 00:24:23,160
All the other mathematics we've
come up with is all formulated
330
00:24:23,160 --> 00:24:25,480
ultimately in terms of those
things.
331
00:24:27,760 --> 00:24:33,880
That says to me that it it's the
same thing as the question and
332
00:24:33,880 --> 00:24:38,720
answer of the Paramecium I these
other people rhapsodize about
333
00:24:38,720 --> 00:24:44,480
how powerful and impressive this
these little language things
334
00:24:44,480 --> 00:24:48,040
that we come up with are.
I instead look at them, and I am
335
00:24:48,040 --> 00:24:55,480
stunned by how impoverished, how
benighted, even with our
336
00:24:55,480 --> 00:24:59,000
cognitive constructs our actual
minds are.
337
00:25:00,520 --> 00:25:03,920
I I often think about the same
thing with regards to the
338
00:25:03,920 --> 00:25:06,640
conversation about
consciousness, because this
339
00:25:06,680 --> 00:25:11,240
almost linguistic limitation
that we're that we have, how do
340
00:25:11,240 --> 00:25:16,080
you think it impacts this field
where it seems that people can
341
00:25:16,080 --> 00:25:20,240
make claims, various different
views of consciousness?
342
00:25:20,240 --> 00:25:22,360
At this point, there's so many
different philosophical
343
00:25:22,360 --> 00:25:24,040
approaches, scientific
approaches.
344
00:25:24,560 --> 00:25:26,400
Do you think that's a
fundamental feature?
345
00:25:26,440 --> 00:25:29,680
Is this linguistic limitation to
our approach to consciousness as
346
00:25:29,680 --> 00:25:33,640
well?
Could be, but I view
347
00:25:33,640 --> 00:25:38,520
consciousness as.
That's why I find like
348
00:25:38,520 --> 00:25:42,040
experiments back to Ben Levitt
for example, You're probably
349
00:25:42,040 --> 00:25:46,320
familiar with his famous
experiments for the listeners.
350
00:25:47,280 --> 00:25:49,520
This is several decades old
work, and it's somewhat
351
00:25:49,520 --> 00:25:51,320
controversial now.
But there's been many, many
352
00:25:51,320 --> 00:25:54,440
similar studies where it's just
like the severing of the corpus
353
00:25:54,440 --> 00:25:58,520
callosum, where indicating
consciousness of fiction, he
354
00:25:58,520 --> 00:26:01,320
will actually have electrodes in
the brains of people,
355
00:26:01,320 --> 00:26:06,000
experimental subjects, where he
managed to ascertain that there
356
00:26:06,000 --> 00:26:09,600
was being asked to make very,
very simple decisions, like when
357
00:26:09,600 --> 00:26:12,840
to click a button on a little
sensor.
358
00:26:13,440 --> 00:26:17,280
And they actually made the
decision that the associated
359
00:26:18,160 --> 00:26:22,800
neurons in the motor cortex
started their firing process
360
00:26:23,280 --> 00:26:25,920
before they were conscious that
the decision had been made.
361
00:26:26,640 --> 00:26:29,360
But after the fact, they were
completely convinced that it was
362
00:26:29,560 --> 00:26:31,920
all under their own control.
Completely volitional.
363
00:26:33,080 --> 00:26:35,200
I think that there is no such
thing.
364
00:26:35,240 --> 00:26:37,000
I mean, there are other
philosophers who said this,
365
00:26:37,000 --> 00:26:41,520
people like Dan Dennett to a
degree that consciousness is
366
00:26:41,520 --> 00:26:45,640
basically a fable.
Now one can worry about what's
367
00:26:45,640 --> 00:26:48,120
the basis of it.
There's this work by this great
368
00:26:48,120 --> 00:26:51,000
guy.
Let's see is it.
369
00:26:51,320 --> 00:26:53,080
It's not Graziano.
It's.
370
00:26:53,080 --> 00:26:53,920
I follow it.
I think it.
371
00:26:54,040 --> 00:26:58,240
Is Graziano Michael Graziano?
There is Michael Graziano, but
372
00:26:58,240 --> 00:27:02,080
there's also another guy at A.
Prisoner Michael Gazzano is
373
00:27:02,520 --> 00:27:06,280
Michael Gazzaniga.
No, it's with an eye.
374
00:27:07,040 --> 00:27:14,480
Princeton psychology
consciousness.
375
00:27:16,480 --> 00:27:19,000
Who is Graziano?
You're right.
376
00:27:19,520 --> 00:27:21,800
It is Graziano.
Yeah.
377
00:27:22,840 --> 00:27:25,240
At Princeton, yeah.
He works on the attention schema
378
00:27:25,240 --> 00:27:26,760
theory.
Yeah, he does have a medical.
379
00:27:26,840 --> 00:27:29,560
Medical, yeah.
Yeah.
380
00:27:29,560 --> 00:27:32,680
So he just says, look, you know,
we've got brains that by natural
381
00:27:32,680 --> 00:27:39,960
selection were quote, designed
to be imputing these underlying
382
00:27:39,960 --> 00:27:42,320
processes behind all kinds of
phenomena.
383
00:27:42,680 --> 00:27:45,320
What would you expect to happen
if it looked inside?
384
00:27:45,960 --> 00:27:47,840
King Chen Chung would come up
with these things called
385
00:27:47,840 --> 00:27:51,560
consciousness.
So anyway, I mean there is
386
00:27:51,560 --> 00:27:54,080
something there to be
investigated from a scientific
387
00:27:54,080 --> 00:27:56,400
perspective.
There's also you can there's
388
00:27:56,400 --> 00:27:58,360
obviously degrees of
consciousness in terms of
389
00:27:58,360 --> 00:28:02,600
whether you're asleep or not and
things like this.
390
00:28:03,080 --> 00:28:07,000
But in terms of notions like
qualia what some philosophers
391
00:28:07,000 --> 00:28:09,400
and I won't name names called
the hard problem of
392
00:28:09,400 --> 00:28:14,520
Consciousness.
I think that there's no there's
393
00:28:14,520 --> 00:28:16,280
no there there.
The reason they're not making
394
00:28:16,280 --> 00:28:19,480
any progress I don't think is
anything is profound is that
395
00:28:19,480 --> 00:28:24,480
they're trying to use
one-dimensional strings of from
396
00:28:24,720 --> 00:28:29,240
symbols from a finite alphabet
to try to address this other
397
00:28:30,200 --> 00:28:35,000
kinds of scenario.
That's beyond the remit of such
398
00:28:35,000 --> 00:28:37,240
strings.
I think the solution is far
399
00:28:37,240 --> 00:28:39,640
simpler that no, there is no
there there.
400
00:28:40,360 --> 00:28:41,960
Yeah, now Michael looks very
fascinating.
401
00:28:42,000 --> 00:28:44,720
He, he, he talks about these
attentive mechanisms and once we
402
00:28:44,720 --> 00:28:47,400
introspect with it's, it's
almost obvious to conclude we
403
00:28:47,400 --> 00:28:50,520
have this sort of essence like
feature, but it's more of a
404
00:28:50,520 --> 00:28:52,440
caricature.
We don't really have that there.
405
00:28:53,160 --> 00:28:54,720
We don't really have it.
Yep.
406
00:28:54,840 --> 00:28:57,240
And the reason that people
haven't been able to come up
407
00:28:57,240 --> 00:29:01,320
with a good experimental test of
what qualia is, even though they
408
00:29:01,320 --> 00:29:06,360
now got these various ways of
trying to formalize what
409
00:29:06,360 --> 00:29:10,840
consciousness is, it's I would
say because there is no there
410
00:29:10,840 --> 00:29:13,760
there that it is just this
epiphenomenon.
411
00:29:15,360 --> 00:29:19,600
And it's a really weird kind of
a funky thing, somewhat similar
412
00:29:19,600 --> 00:29:21,480
in a different sense of this
whole notion that there is no
413
00:29:21,480 --> 00:29:25,280
concrete reality.
It's that if you actually have
414
00:29:25,280 --> 00:29:31,640
an explanation that is complete
and almost by definition, you
415
00:29:31,640 --> 00:29:33,880
cannot come up with an
experiment that would refute
416
00:29:33,880 --> 00:29:36,960
what it says.
Give it up folks.
417
00:29:36,960 --> 00:29:39,520
There's not you don't have any
basis for concluding there's
418
00:29:39,520 --> 00:29:44,120
anything more.
And that is a beautiful thing to
419
00:29:44,120 --> 00:29:46,520
me.
There is nothing more beautiful
420
00:29:46,520 --> 00:29:50,760
than to crush my own sense of
self worth.
421
00:29:51,600 --> 00:29:56,400
Lie on my back at night and look
up at the stars and try to three
422
00:29:56,400 --> 00:30:02,480
dimensionally project and to
internalize just how it goes
423
00:30:02,480 --> 00:30:05,880
beyond the word insignificant,
just how nothing I am.
424
00:30:07,400 --> 00:30:12,560
I find that to be the ultimate
in liberating because you know
425
00:30:12,640 --> 00:30:16,640
dude, whatever you're concerned
with it don't matter none.
426
00:30:17,680 --> 00:30:22,520
And it and it also by
emphasizing how much is beyond
427
00:30:22,520 --> 00:30:29,000
our possible kin.
That, to me, is more deeply
428
00:30:29,000 --> 00:30:32,120
spiritual than anything you'll
find actually in the world's
429
00:30:32,800 --> 00:30:36,200
major religions.
They all try to give an
430
00:30:36,200 --> 00:30:38,360
explanation of some sort or
other.
431
00:30:39,240 --> 00:30:41,440
And no, no, no.
The essence of it is that's
432
00:30:41,440 --> 00:30:44,560
beyond that.
So how do you do you think then?
433
00:30:44,840 --> 00:30:47,480
I mean considering the fact that
we have all these limitations,
434
00:30:47,960 --> 00:30:51,280
how do you think we can move
beyond them in order to sort of
435
00:30:51,560 --> 00:30:57,720
ascertain what is oh boy, that
is something I would truly I've.
436
00:30:58,920 --> 00:31:02,160
It's a question that I don't
think can be in some ways that's
437
00:31:02,160 --> 00:31:08,360
ultimately I'm what I'm finding
to be my life's underlying motif
438
00:31:08,360 --> 00:31:13,120
is to try to address that.
I do not think, or at least my
439
00:31:13,480 --> 00:31:16,840
inclination is that it cannot be
addressed directly head on.
440
00:31:17,800 --> 00:31:23,720
You must do it sideways.
So I think that there might be
441
00:31:23,760 --> 00:31:27,360
other and we need to have it in
all hands on deck kind of a
442
00:31:27,360 --> 00:31:32,720
thing.
So we definitely necessary is to
443
00:31:32,720 --> 00:31:36,600
have math and experiment there,
because those are the only
444
00:31:36,600 --> 00:31:40,760
things that are able to cut
through our own bullshit.
445
00:31:42,040 --> 00:31:46,040
The only thing that to actually
save us, possibly from believing
446
00:31:46,040 --> 00:31:48,400
our own hype and our own
propaganda, drinking our own
447
00:31:48,400 --> 00:31:53,320
Kool-aid, are math and its
scientific experiment, as
448
00:31:53,320 --> 00:31:57,400
limited as they are.
So it is necessary that they be
449
00:31:57,400 --> 00:32:00,360
front and centre.
But if we're going to have any
450
00:32:00,360 --> 00:32:02,560
prayer of getting there, I don't
think that they are quite
451
00:32:02,560 --> 00:32:04,920
sufficient.
It's all hands on deck, as I
452
00:32:04,920 --> 00:32:10,960
said, which means some of the
other aspects of things like
453
00:32:10,960 --> 00:32:15,600
what's sometimes called the
arts, some kind of synergy.
454
00:32:16,600 --> 00:32:20,800
I don't think any of the things
that people have come up with in
455
00:32:20,800 --> 00:32:24,720
terms of overlaps between the
arts and the sciences are
456
00:32:25,840 --> 00:32:27,480
frankly anything beyond
pathetic.
457
00:32:27,520 --> 00:32:31,680
I mean, look, here are some
beautiful images of the Eagle
458
00:32:31,680 --> 00:32:33,360
Nebula.
Yep, that's beautiful.
459
00:32:33,760 --> 00:32:37,240
Here, I'm trying to pretend that
these photographs to
460
00:32:37,240 --> 00:32:39,920
polarization lenses are
artistic.
461
00:32:40,120 --> 00:32:45,320
OK, well, cool relief for you.
Or going the other way, when
462
00:32:45,320 --> 00:32:47,400
scientists, you know, things
like science fiction.
463
00:32:47,400 --> 00:32:51,520
I'm a I'm a great fan.
But no, that is not actually
464
00:32:51,520 --> 00:32:54,200
integrating of the arts and the
sciences any kind of a deep
465
00:32:54,200 --> 00:32:57,080
level.
I think many people would like
466
00:32:57,080 --> 00:33:00,240
to do that.
And there's all kinds of cool,
467
00:33:00,240 --> 00:33:03,840
fun things, especially for like
getting your kids really
468
00:33:03,840 --> 00:33:07,480
interested in this stuff, you
know, sort of children's museums
469
00:33:07,480 --> 00:33:09,880
kinds of things.
But I don't think that there's
470
00:33:09,880 --> 00:33:18,320
anything that really is at the
foundations starting to have
471
00:33:18,320 --> 00:33:24,280
these two copulate, so to speak.
Do you think it's a silly
472
00:33:24,280 --> 00:33:27,480
question when people ask that
that very popular question of
473
00:33:27,920 --> 00:33:35,960
was math created or invented?
It's actually, I would say both.
474
00:33:36,640 --> 00:33:39,000
Here is this is going to be
maybe a workshop that I'm going
475
00:33:39,000 --> 00:33:42,640
to be putting on here at the SFI
actually, with a bunch of
476
00:33:43,960 --> 00:33:47,440
artists, philosophers,
physicists, mathematicians.
477
00:33:48,880 --> 00:33:52,400
I envision it almost as an
Uroboros, a snake eating its own
478
00:33:52,400 --> 00:33:58,920
tail.
I've sketched for you how math
479
00:33:58,920 --> 00:34:03,520
itself you can view all of the
what physicists call a theory of
480
00:34:03,520 --> 00:34:06,920
everything, string theory or
what whatever it is, it is
481
00:34:06,920 --> 00:34:12,520
written in math.
From that you get ultimately at
482
00:34:12,520 --> 00:34:15,040
the going beyond the Planck
scale.
483
00:34:15,040 --> 00:34:20,320
You get high energy theory.
You get quantum mechanics from
484
00:34:20,320 --> 00:34:22,440
that.
Ultimately this is the standard
485
00:34:23,120 --> 00:34:30,560
succession of magisteria of U.
You get chemistry, from which
486
00:34:30,560 --> 00:34:34,199
you will ultimately get things
like biology, from which you
487
00:34:34,239 --> 00:34:37,840
ultimately get things like
neurobiology, from which you
488
00:34:37,840 --> 00:34:40,199
ultimately get things like.
And you started this
489
00:34:40,199 --> 00:34:44,960
conversation with this with
humans constructing mathematics
490
00:34:45,960 --> 00:34:50,679
which pulls you full circle.
The damned snake eats its own
491
00:34:50,679 --> 00:34:54,800
tail, because once it's
constructing mathematics wholly
492
00:34:54,800 --> 00:34:58,800
ex would have deleted the
foundation was all about that
493
00:34:58,800 --> 00:35:02,600
mathematics.
I would almost view the question
494
00:35:02,600 --> 00:35:07,680
of invented or discovered as yes
and yes.
495
00:35:08,080 --> 00:35:12,000
One insertion point is that
Uroboros is being invented.
496
00:35:13,080 --> 00:35:15,200
The other point, it's being
discovered.
497
00:35:17,400 --> 00:35:21,120
There's another answer to it
which is more, well, frankly, a
498
00:35:21,120 --> 00:35:24,600
little bit pedestrian, which is
that mathematicians and
499
00:35:24,600 --> 00:35:28,720
physicists and so on all act as
though mathematics is
500
00:35:28,720 --> 00:35:30,800
discovered.
But if you push it to the wall,
501
00:35:31,240 --> 00:35:33,600
they'll say that no, well,
actually, I can't claim it's
502
00:35:33,600 --> 00:35:39,360
anything more than invented.
That's true as well, but in a
503
00:35:39,360 --> 00:35:43,800
certain sense that's just a
statement about how various
504
00:35:43,800 --> 00:35:47,320
mathematicians and scientists
view what it is that they do,
505
00:35:48,040 --> 00:35:52,400
rather than anything about the
IT underlying it all.
506
00:35:53,080 --> 00:35:58,520
So then, do you feel like Max
Tegmott's mathematical realism?
507
00:35:58,520 --> 00:36:00,840
Do you feel like you fall under
a similar category?
508
00:36:00,840 --> 00:36:06,240
In that sense, I view the the
starting point of the snake,
509
00:36:06,280 --> 00:36:07,960
yes.
When I was saying that any
510
00:36:07,960 --> 00:36:12,200
mathematical system is just as
real as one as another one that
511
00:36:12,240 --> 00:36:15,840
is down there at those
foundations.
512
00:36:17,840 --> 00:36:21,800
Once you go all the way up and
around and follow up on our
513
00:36:21,800 --> 00:36:25,200
particular mathematical system,
which is one that ends up with
514
00:36:25,280 --> 00:36:32,400
our neurobiology and our social
constructs, that particular one
515
00:36:32,400 --> 00:36:35,800
then comes back around.
But here's like another obvious
516
00:36:35,800 --> 00:36:39,080
question.
Adopt some other mathematical
517
00:36:39,080 --> 00:36:42,040
system down at the it's all
mathematics.
518
00:36:42,120 --> 00:36:47,520
Max Tegmark kind of level follow
it's reality up.
519
00:36:48,440 --> 00:36:52,640
We can't even imagine doing
this, but let's say you did, and
520
00:36:52,640 --> 00:36:56,480
let's say at some point it
actually turned the corner and
521
00:36:56,480 --> 00:37:01,920
came back to mathematics.
How would its mathematics differ
522
00:37:01,920 --> 00:37:06,160
from our mathematics?
Is there actually even more than
523
00:37:06,160 --> 00:37:08,000
one Uroboros where they're all
interested?
524
00:37:08,080 --> 00:37:14,720
Who's a blankly blank knows?
This is all abstract nonsense.
525
00:37:16,520 --> 00:37:19,080
The problem, though, is that
even though it is abstract
526
00:37:19,080 --> 00:37:22,840
nonsense, ultimately, if you
want to really sit down and
527
00:37:22,840 --> 00:37:27,920
spend time and drill on
anything, this is where you end
528
00:37:27,920 --> 00:37:31,120
up.
If you've got to go to the
529
00:37:31,160 --> 00:37:35,440
market and get some milk to
bring home well, if you start to
530
00:37:35,440 --> 00:37:39,680
really drill on any aspect of
that, what does driving amount
531
00:37:39,680 --> 00:37:41,240
to?
Well, driving amounts to
532
00:37:41,640 --> 00:37:45,880
thermodynamic processes that are
actually releasing free energy
533
00:37:46,120 --> 00:37:48,440
that is usable from certain
chemical reactions?
534
00:37:48,440 --> 00:37:50,640
Well, I mean then why they, what
do they store dynamics?
535
00:37:50,840 --> 00:37:52,440
Just start drilling anywhere
milk.
536
00:37:52,440 --> 00:37:55,720
What does milk amount to?
Why am I conceiving of milk in
537
00:37:55,720 --> 00:37:57,320
this way?
What does it mean for my me to
538
00:37:57,320 --> 00:38:00,840
view it as white?
Just start drilling on any one
539
00:38:00,840 --> 00:38:03,800
of these aspects of these sort
of oh, yeah, yeah, what is it I
540
00:38:03,800 --> 00:38:06,840
got to do this afternoon?
What's spend time with them?
541
00:38:06,840 --> 00:38:12,480
Once you, Wayne Thibo, used this
phrase about paintings that you
542
00:38:12,480 --> 00:38:18,280
must respect a painting, give it
time in front of it to really
543
00:38:18,280 --> 00:38:20,160
see what lessons it might teach
you.
544
00:38:21,080 --> 00:38:26,080
Similarly, once you respect any
aspect of your daily life, give
545
00:38:26,080 --> 00:38:28,760
it time.
So you sit in front of it and
546
00:38:28,760 --> 00:38:32,600
see what it might teach you.
Start drilling down on it.
547
00:38:32,600 --> 00:38:37,720
Just like there's a painting you
will end up, you can't avoid it
548
00:38:38,040 --> 00:38:40,720
going down into this abstract
nonsense.
549
00:38:41,720 --> 00:38:45,240
It goes well beyond how do we
know we're not brains into that
550
00:38:45,800 --> 00:38:49,360
or the modern version of it,
which people don't realize is
551
00:38:49,360 --> 00:38:51,720
that don't appreciate the same
question of how do we know
552
00:38:51,720 --> 00:38:53,760
whether we're simulations in a
computer.
553
00:38:54,600 --> 00:38:59,680
You don't keep on going.
Go past that all abstract
554
00:38:59,680 --> 00:39:02,400
nonsense and guess what?
That's all that any of it
555
00:39:02,440 --> 00:39:06,400
ultimately is.
And then I sit back on in the
556
00:39:06,480 --> 00:39:11,840
Meadow in the summer and look up
at the stars and just holy shit.
557
00:39:13,000 --> 00:39:16,320
Do you think this this universe
has some sort of a teleology
558
00:39:16,320 --> 00:39:21,120
built in it in terms of being
driven for a purpose some?
559
00:39:22,040 --> 00:39:26,520
Sort of a goal, Directedness.
Non religious some some sort of
560
00:39:26,520 --> 00:39:28,320
a.
Perhaps even a mathematical
561
00:39:28,960 --> 00:39:33,360
conclusion.
A mathematical system has no
562
00:39:33,360 --> 00:39:35,400
particular conclusion.
There is not even time.
563
00:39:36,640 --> 00:39:39,880
The block model of time is well
established in physics and well
564
00:39:39,880 --> 00:39:45,920
accepted that there is no actual
time moving all moments in time.
565
00:39:46,720 --> 00:39:49,080
Even within standard physics you
don't need to get down to Max
566
00:39:49,080 --> 00:39:51,560
Tegmark.
All moments in time exist
567
00:39:51,560 --> 00:39:55,960
simultaneously, so to speak.
There is no preferred one.
568
00:39:55,960 --> 00:40:00,520
There's no time itself in in the
laws of physics, it's a single
569
00:40:00,520 --> 00:40:02,960
variable.
It's not that there's a time
570
00:40:03,000 --> 00:40:06,200
axis and then a pointer moving
along it.
571
00:40:06,520 --> 00:40:10,640
Where you are here, it's only a
single variable.
572
00:40:11,080 --> 00:40:14,680
You can then do work on why it
is that we have what's called
573
00:40:14,680 --> 00:40:19,080
the psychological arrow, why we
think that time's actually got a
574
00:40:19,080 --> 00:40:24,760
preferred movement.
That actually it, it appears,
575
00:40:24,760 --> 00:40:29,120
can be completely explained by
the fact that we can remember
576
00:40:29,120 --> 00:40:33,480
the past far more accurately
than we can predict the future.
577
00:40:33,480 --> 00:40:38,480
Retro diction is completely
accurate compared to prediction
578
00:40:41,000 --> 00:40:43,600
that itself you can drill down
to the second law of
579
00:40:43,600 --> 00:40:47,120
thermodynamics.
So in terms of an unfolding
580
00:40:47,120 --> 00:40:51,480
process, the very notion of
unfolding in a certain sense is
581
00:40:51,480 --> 00:40:54,600
a vacuous one.
Is there going to be something
582
00:40:54,600 --> 00:40:58,640
at the late time periods that's
not there at the beginning time
583
00:40:58,640 --> 00:41:01,000
periods?
Sure.
584
00:41:01,440 --> 00:41:06,960
But I wouldn't glorify that with
any kind of a teleology, no kind
585
00:41:06,960 --> 00:41:11,160
of a goal that in a certain
important sense, there's not
586
00:41:11,160 --> 00:41:16,480
even any sense in which the end
time Trump's the beginning time.
587
00:41:16,480 --> 00:41:20,840
They're both equally real.
It's not that one is creating
588
00:41:20,840 --> 00:41:25,120
the other.
The the the microscopic laws of
589
00:41:25,120 --> 00:41:27,440
physics are time symmetric.
You could actually go backwards
590
00:41:27,440 --> 00:41:30,360
as it really is forwards.
Do do you think that
591
00:41:30,360 --> 00:41:34,120
philosophers of of science or
mathematic overdo it with these
592
00:41:34,400 --> 00:41:37,360
these abstract questions
regarding these phenomena?
593
00:41:38,920 --> 00:41:44,960
I think that they are wrong
headed because in that they are,
594
00:41:46,840 --> 00:41:51,000
they're looking out from inside
of their room through the
595
00:41:51,000 --> 00:41:57,920
windows and trying to understand
the distinctions between these
596
00:41:57,920 --> 00:42:00,520
distorted views that they're
seeing and what there's there
597
00:42:00,520 --> 00:42:05,360
inside the room.
If you instead go outside and
598
00:42:05,360 --> 00:42:10,320
adopt this point of view,
there's all just implications of
599
00:42:10,320 --> 00:42:13,720
mathematics that you're just
working it through all the
600
00:42:13,720 --> 00:42:17,560
things that I would say that so
many of the conundrums that seem
601
00:42:17,560 --> 00:42:24,160
so deep and intractable in
philosophy, they evanesce
602
00:42:24,520 --> 00:42:27,720
they're gone, there's there's
nothing left.
603
00:42:28,440 --> 00:42:31,360
The It's like in the Zen
Buddha's koan.
604
00:42:31,600 --> 00:42:34,360
The answer to the question is MU
and ask the question.
605
00:42:35,480 --> 00:42:38,320
And I think that that would
happen to much of at least
606
00:42:38,320 --> 00:42:43,360
what's considered Western
philosophy of science if one
607
00:42:44,480 --> 00:42:47,080
whole heart adopted these
understand these underlying
608
00:42:48,080 --> 00:42:50,680
lessons, for lack of a better
word, of math and science.
609
00:42:52,160 --> 00:42:57,440
David, I know you have time wise
you you find you because I think
610
00:42:57,800 --> 00:42:59,120
are you OK for time?
Yeah, Yeah.
611
00:42:59,160 --> 00:43:01,600
Yeah.
So I do have like, you know,
612
00:43:01,600 --> 00:43:04,960
maybe a few more minutes, but
then I will probably.
613
00:43:06,960 --> 00:43:10,880
David, if you had to think of.
Projects for mathematicians or
614
00:43:10,880 --> 00:43:14,600
scientists to embark on moving
forward to try and broaden those
615
00:43:14,600 --> 00:43:17,680
or expand those those limits
that we might have already.
616
00:43:17,880 --> 00:43:28,760
Where would you go with this?
I am not a poet.
617
00:43:28,760 --> 00:43:33,320
I'm a faker.
But I've got some dog rule on my
618
00:43:33,320 --> 00:43:42,640
Weebly website and whenever I am
in a mode of creating something
619
00:43:42,640 --> 00:43:47,720
that, if it were much better
than it is, might be graced with
620
00:43:47,720 --> 00:43:55,960
the with the moniker of a poem,
I don't come up them after at
621
00:43:55,960 --> 00:44:02,680
them directly.
I try to situate myself.
622
00:44:02,680 --> 00:44:10,440
I try to adopt A stance, almost
a wrestler's configuration, such
623
00:44:10,440 --> 00:44:19,440
that as things come through, I
can turn and exploit them.
624
00:44:19,440 --> 00:44:24,600
I try to be receptive to them
rather than just pursue One
625
00:44:24,600 --> 00:44:29,560
Direction.
These issues talk about
626
00:44:29,560 --> 00:44:31,720
respecting paintings like Wayne
Thibault.
627
00:44:32,200 --> 00:44:36,680
This one I respect even more
than those things that are up
628
00:44:36,680 --> 00:44:40,240
there on my website that I do
not know.
629
00:44:40,240 --> 00:44:46,280
I'm I've been trying to, in my
career, accumulate a set of
630
00:44:46,280 --> 00:44:49,680
different understandings.
I wouldn't glorify them by
631
00:44:49,680 --> 00:44:54,600
saying skill sets, but a
different perspectives that
632
00:44:54,600 --> 00:44:59,280
maybe, if I'm lucky, the only
chance that I have of getting
633
00:44:59,280 --> 00:45:02,280
anywhere would be that they
might all come together somehow
634
00:45:03,360 --> 00:45:07,960
if I am properly open upstairs,
so to speak.
635
00:45:09,040 --> 00:45:10,640
And that's the best that I can
do.
636
00:45:12,240 --> 00:45:16,600
Is, is there, is there any sort
of goal mathematically in terms
637
00:45:16,600 --> 00:45:20,040
of your work, something that
completely absorbs you and
638
00:45:20,040 --> 00:45:26,600
inspires you at this moment?
Oh lordy, I mean, I'm doing so
639
00:45:26,600 --> 00:45:29,320
many things at once to talk
about one of the things that we
640
00:45:29,320 --> 00:45:32,960
did earlier today.
I've been trying to figure out
641
00:45:33,000 --> 00:45:37,760
even what mathematical system to
use to go after analyzing
642
00:45:37,760 --> 00:45:41,680
stochastic mathematical systems
to try to see things like is
643
00:45:41,680 --> 00:45:45,240
Girdle's incompleteness theorem
robust or sensitive to noise?
644
00:45:45,240 --> 00:45:48,560
And so on.
Unfortunately, there's so many
645
00:45:48,560 --> 00:45:52,040
ways of formal the foundations
of mathematics.
646
00:45:52,560 --> 00:45:56,960
There's category theory.
There's various kinds of logic,
647
00:45:56,960 --> 00:45:59,880
2nd order logic with some
associated model theory.
648
00:46:00,480 --> 00:46:04,280
There are things like type
theory.
649
00:46:05,680 --> 00:46:08,720
You might be able to do some
stuff in terms of just using
650
00:46:08,720 --> 00:46:12,360
outlook information theory.
There's so many different ways
651
00:46:12,360 --> 00:46:17,560
of even trying to write down the
mathematics that you could then
652
00:46:17,560 --> 00:46:23,520
introduce stochasticity into.
That's one aspect of things that
653
00:46:24,000 --> 00:46:28,240
absorbs my attention.
But I'm involved with so very
654
00:46:28,240 --> 00:46:32,160
many different projects, many of
them far more prosaic than
655
00:46:32,160 --> 00:46:35,160
anything we talked about today.
I was just gonna say, I mean,
656
00:46:35,160 --> 00:46:37,240
your work touches on so many
different topics, and I think
657
00:46:37,240 --> 00:46:41,360
because the core concepts align
with these, our perceptions and
658
00:46:41,360 --> 00:46:44,240
cognitive abilities, it makes it
very fascinating for someone who
659
00:46:44,240 --> 00:46:45,880
doesn't have a mathematical
background.
660
00:46:46,600 --> 00:46:49,080
To to at least go over it
because it's it's way too
661
00:46:49,080 --> 00:46:51,440
complicated for someone who does
not have that mathematical
662
00:46:51,480 --> 00:46:53,440
background.
For me, it's too complicated for
663
00:46:53,440 --> 00:46:56,000
me.
Yeah, I I know what I am.
664
00:46:56,000 --> 00:47:00,520
I know my strengths.
I even have this on my website.
665
00:47:01,960 --> 00:47:04,920
I am not careful enough to be an
experimentalist, but I'm not
666
00:47:04,920 --> 00:47:06,760
smart enough to be a
mathematician.
667
00:47:08,120 --> 00:47:12,400
I everything else is fair game.
But I'm not a mathematician.
668
00:47:12,560 --> 00:47:16,080
I am in awe of mathematicians.
I don't yet.
669
00:47:16,360 --> 00:47:20,360
I still do not understand how it
is that end of the story.
670
00:47:20,680 --> 00:47:23,320
When I way back in the day when
I was an undergrad, I had
671
00:47:23,320 --> 00:47:25,520
Princeton.
Like many others, I'm in my
672
00:47:25,520 --> 00:47:27,880
cohort.
We were trying to figure out,
673
00:47:27,880 --> 00:47:30,880
well, we want to go into.
In this case, it was writing,
674
00:47:31,560 --> 00:47:36,160
creative writing, mathematics or
physics, creative writing.
675
00:47:36,160 --> 00:47:40,320
I very quickly passed that
because I knew that, among other
676
00:47:40,320 --> 00:47:42,440
things, there's no way you can
make a living out of it.
677
00:47:42,440 --> 00:47:44,440
And I didn't really think I had
the chops there.
678
00:47:44,720 --> 00:47:47,640
It was fascinating to look at
those who went one way or the
679
00:47:47,640 --> 00:47:53,880
other on math versus physics,
The ones who went into math they
680
00:47:54,360 --> 00:47:58,760
perceived and felt they weren't
actually able to do the physics
681
00:47:58,760 --> 00:48:02,320
very well.
And those who went into physics,
682
00:48:02,320 --> 00:48:05,600
at least ones like me, as
opposed to the monster minds who
683
00:48:05,600 --> 00:48:10,400
can do, you know, the Ed Wittens
who can do all the ones like me.
684
00:48:10,400 --> 00:48:15,080
It was the math that was more
daunting and I never really
685
00:48:15,080 --> 00:48:17,280
understood it.
I didn't understand the.
686
00:48:17,640 --> 00:48:21,360
To me, I am still more impressed
by math because what I cannot do
687
00:48:21,720 --> 00:48:24,920
I what I don't understand is how
it is that the mathematicians,
688
00:48:25,360 --> 00:48:27,440
those minds of which I am such
an awe.
689
00:48:28,440 --> 00:48:31,440
That's why it is that they keep
sort of screwing up in these
690
00:48:31,440 --> 00:48:35,560
very simple ways when they try
to solve things in the sciences.
691
00:48:37,160 --> 00:48:38,800
So anyway, something about
differences.
692
00:48:38,800 --> 00:48:41,960
But I'm not a mathematician, I'm
in all.
693
00:48:42,160 --> 00:48:43,880
Mathematicians.
I mean anyone who can make up
694
00:48:43,880 --> 00:48:46,720
theorems, and I mean do that.
I think you you definitely claim
695
00:48:46,720 --> 00:48:50,520
that that that label you yield
greatness.
696
00:48:51,720 --> 00:48:58,000
OK, math has very many purposes.
One of them is just to actually
697
00:48:58,480 --> 00:49:01,200
make you understand what it is
you're thinking in the 1st
698
00:49:01,200 --> 00:49:02,600
place.
If you can't formalize it
699
00:49:02,600 --> 00:49:06,000
mathematically, chances are
you're bullshitting yourself.
700
00:49:07,120 --> 00:49:12,400
And that's one of its purposes.
And that's one that I do exploit
701
00:49:12,400 --> 00:49:14,520
many, many times in many, many
different arenas, yeah.
702
00:49:14,680 --> 00:49:15,960
And I think you can see that in
the work.
703
00:49:15,960 --> 00:49:18,280
Well, I mean, I know, I know
you're stuck for time.
704
00:49:18,680 --> 00:49:20,600
David, thank you so much for
joining me.
705
00:49:21,360 --> 00:49:23,120
Well, thanks for having me.