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How "Strange Loops" Ignite Math, Art, & You 

Carlos Farias
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Godel, Escher, Bach by Douglas Hofstadter explained via video lecture. We cover the strange loopiness of Kurt Godel's Incompleteness Theorem, along with MC Escher's art and Johann Sebastian Bach's music. Consciousness, a sense of self-awareness, emerges from abstract patterns Hofstadter calls "strange loops."
0:00 The Central Idea
3:25 Book Background
6:22 Gödel's Incompleteness Theorem
11:57 M.C. Escher
15:11 Johann Sebastian Bach
19:00 Bringing the 3 Together
21:18 My Meandering Thoughts
🚩 Nerd Alert
I should've written "There's a self-referential HOLE in mathematics." on the slide, as I think that's a better descriptor than "gap." F.
🎥 Watch Further
The paradox at the heart of mathematics: Gödel's Incompleteness Theorem - Marcus du Sautoy (Ted-Ed, 5m20s length) • The paradox at the hea...
Music on a Clear Möbius Strip (Numberphile, 11m42s length) • Music on a Clear Möbiu...
The sound illusion that makes Dunkirk so intense (Vox, 3m01s length) • The sound illusion tha...
The HD Video Feedback Kinetic Sculpture, First Iteration (Dave Blair, 6m07s length) • The HD Video Feedback ...
Godel, Escher, Bach: The Complete Playlist (Spotify, 13 hours!)
open.spotify.com/playlist/3iS...
🚾 Works Cited
Gödel, Escher, Bach: An Eternal Golden Braid by Douglas R Hofstadter
M.C. Escher works listed in order of appearance:
Bond of Union (1956)
Drawing Hands (1948)
Print Gallery (1956)
Waterfall (1961)
Relativity (1953)
Day and Night (1938)
Reptiles (1943)
Metamorphosis II (1940)
Johann Sebastian Bach works listed in order of appearance:
Toccata in D minor (2013)
Bach Cello Suite No. 1, G Major, Prelude (Cooper Cannell 2019)
C Major Prelude (2014)
Shepard Tone spectrum video visualization (Varenc 2020) en.wikipedia.org/wiki/File:Sh...
The Dark Knight (2008)
'The eternal golden braid: Gödel Escher Bach' (Freiberger 2019)
plus.maths.org/content/eterna...
Talladega Nights: The Ballad of Ricky Bobby (2006)
The Self Referential Pointless Universe Geometry as the Key to the Resolution of the Black Hole Information Paradox (Naschie 2015)
ijism.org/administrator/compon...
🚨 Legal
Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statute that might otherwise be infringing.
🚀 What is this channel?
Exploring Truth in philosophy, science, & art. We'll uncover concepts from psychology, mythology, spirituality, literature, media, and more. If you like Lex Fridman or Curt Jaimungal, you'll love this educational channel.
p.s. Please subscribe! Young channel here. =)
#godel #escher #bach #geb #consciousness #hofstadter #cogsci #book #strangeloop #strangeloops

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1 июн 2024

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@Carlos.Explains
@Carlos.Explains Год назад
0:00 The Central Idea 3:25 Book Background 6:22 Gödel's Incompleteness Theorem 11:57 M.C. Escher 15:11 Johann Sebastian Bach 19:00 Bringing the 3 Together 21:18 My Meandering Thoughts
@pangloss565
@pangloss565 Год назад
The second you said, 'Self-awareness is recursive, like a mental fractal,' you hit on one of the key takeaways of my own work. I've put together a theory, a simple one that's way too long in print, of information/language. It basically proposes that everything we attempt to describe (all concepts) can only be modeled in the same way we'd model a chaotic attractor. However, the method of modeling we use also operates technically chaotically. So you can't escape the chaos, so to speak. So any information system we create (like language) will always be chaotic. It will be recursive, fractal in abstraction, and chaotic in how its information interacts with itself. So after some rumination you get this fractal perspective where you can zoom in and out endlessly, as though you occupied a perpetual Julia set. Which is just to point out the nature of holism and reductionism and how neither seems to end but rather tug at each other. Almost as though that tugging is necessary to create information. Divergence within convergence. But most importantly, this isn't some keener theory. The theory is demonstrable and it has been demonstrated for decades know. We just didn't know what we were looking at. Where people see 'radicalism' and 'extremism' I see somebody trying to, as strange as it seems, represent a chaotic attarctor with an integer dimension (you can't; they're fractal). This seems batty but it results in accurate predictions/interpretations of behavior. Luckily, the ideological radicalism/extremism of modern-day American politics has made this so easy to see now. Where people see authoritarian, libertarian, left, and right, I see Nominal, Ordinal, Interval, and Ratio (Google it) and my explanation, while pretty bizarre ngl, is far more accurate. The theory predicted that politics would begin to split language, that 'woman' would lose definition, and then finally would demonstrate that testing how people define things would determine their 'politics' i.e. how they process information. That last one has yet to come true, but right now 'woman' is demonstrating the divide and sorting people into the precise ideological camps the theory describes: Nominals, Ordinals, Intervals, and Ratios. I'd like to explain this theory to you since I love talking about this with the few people I think can understand it. I'm particularly interested in discussing this topic with you since admittedly, my intellect isn't exactly prime and the math gets beyond me quickly. What I've put together qualifies as a meta theory, so it fuses different forms of analyses and fields of study to show that they share the same application. So I'll point out that, 'The Political Compass is actually mapping an Entropy curve,' and show how they behave the same way then explain why they do. That's the whole of the metatheory, really: mathematical (and physical) concepts that apply to political, linguistic, social, and philosophical areas that most would consider separate. Once I noticed that these patterns were all aspects of chaotic attractors, it all just clicked. So nobody has to be a scholar in any of these areas to notice the pattern I'm describing, both in abstraction but then applied to real life. So you get a model i.e. a set of relationships i.e. a set pattern and then I show you how it comes up in all these other fields that believe they're unrelated. Instead, they're the same field just approached differently. Hence the meta is teased out and that meta would seem to be rooted in chaos. Please leave a reply, if you read this.
@bobvila9523
@bobvila9523 Год назад
,
@HonkletonDonkleton
@HonkletonDonkleton Год назад
Did u get chat gpt to write this
@givemorephilosophy
@givemorephilosophy Год назад
In understanding Existential Reality we need to have all the three types of languages. Mathematical language to understand quantity. Qualitative language to understand behaviour and things beyond mathematics. The Causal language whih explains the role purpose and entanglement of all existence. And all these three languages are to be used together and not in isolation. 🙏🙏🙏 Will listen to this episode a few times .Thank you very much for putting it up.
@S.G.Wallner
@S.G.Wallner Год назад
I've been writing about the language of information theory (mostly as it relates to neuroscience and machine learning). Would you agree that we need to distinguish types of information into three categories like you suggest three languages? I won't unpack all of my thoughts here, but I think there should be at least three categories of information. The subjective information as meaning, the objective information as a potential or constraint on subjective information and abstract information which is symbolic and can only be realized as subjective information. I'll refrain from going on further, obviously real time discussion is the way I hope to develop the ideas.
@michaelmilson7538
@michaelmilson7538 11 месяцев назад
I respectfully disagree. I think understanding reality fully cannot be reached through language. It does get us close to understanding in a technical sort of way. But don’t mistake what you read on a map as the actual terrain it represents. It is close but it is not the truth ultimately. Mathematics and language are symbolic representations of things we wish to know. So using language as a means to truly know cannot satisfy. Not fully anyway. We look up and we see big patterns, we look down and see small patterns. No matter how advanced our abilities become, or how many patterns we discover it seems like another pattern lies just beyond it. Can you even imagine a scenario where we figure everything out that there is to know, and anyone is actually satisfied with it? Even if it turns out we all go to heaven and it’s perfect and amazing every day for ever and ever. Personally I think an eternity of anything “perfect” would eventually go from bliss to torment at some point and then what? I toy with the idea of enlightenment as being a good way to ultimate understanding but that’s also such a difficult undertaking that one wonders would it not be a better use of one’s life time to find joy in the basics (meaningful time spent with loved ones, helping others in need, accomplishing personal goals etc) perhaps our spirit does get bored of perfection and that’s why it decides to be alive for a bit? Maybe it’s just fun feeling and doing things and some lives play out very unfortunately but maybe that’s why we have slowly skewed away from barbarism towards inclusiveness and compassion for people and animals. It’s only a fun game to play if everyone plays fairly
@givemorephilosophy
@givemorephilosophy 11 месяцев назад
@@michaelmilson7538 You are very right. The very words that you use say heaven, spirit are not clear to all of us. Once there words and the existential reality behind the same is known to one and then to more and then to all we will be able to articulate the same in a way that will be easy to understand. I would love to have a recorded voice call with you and share that with Humanity for everyone to understand and experience bliss. Torment again is a word that can not mean anything in reality since it refers to the absence of resolution. There is no torment in reality and understanding that will of course need to apply oneself to identify and delete all such words from our vocabulary of life.
@givemorephilosophy
@givemorephilosophy 11 месяцев назад
@@S.G.Wallner Your way of classifying information is also pointing to the correct direction of an Existential Reality that is there for every one of us. As homo sapiens we have the requisite imaginative power to wrap our head around it and understand completely. I would welcome an open recorded conversation on zoom for sharing with everyone.
@larva5606
@larva5606 Год назад
I'm so glad I came across your channel. These are the types of things I'd love to have conversations about but everyone I talk to doesn't express this kind of depth. Anyways thanks for the great content.
@Carlos.Explains
@Carlos.Explains Год назад
Thanks LARVA! I couldn't find anybody to discuss this stuff with, so I make videos to find folks who are interested. Oh, and the quick brown 🦊 jumps over 13 lazy 🐶.
@pardesco_
@pardesco_ Год назад
Very interesting! As a mathematical artist who follows Escher's work, I'll have to give this one a read.
@pinchopaxtonsgreatestminds9591
I think of the loops like playing Swingball with yourself. You affect your own future from your own past, so hit the ball high, and your future self collects the ball from that curve, and hit the ball low, and your future self collects the ball from a different curve. The loop of your own thoughts could be consciousness apart from... computers use loops to so you need something else, and computer loops can create new computer loops... it still doesn't help.
@evguenimigatchevsanchez4649
This sounds very good interesting, taking a note of the book in order to read it
@petermartin5030
@petermartin5030 Год назад
I think the strange loop brings to consciousness its counter-intuitive architecture - its strangeness; but a fuller account of consciousness needs to position sensing, feeling, deciding, attending and acting within this loop.
@ChristianSt97
@ChristianSt97 Год назад
as always great job!
@Carlos.Explains
@Carlos.Explains Год назад
Thanks Christian!!
@evekinglehman84
@evekinglehman84 Год назад
Lovely and poetic re - view. Yes, it took me several go rounds to incorporate Hofstadter's info. Bach - I'd say just feel it, be with how it affects you, and don't worry about any music theory. Godel's Incompleteness theorem: Any set has true axioms that cannot be proven from inside the set. We must go outside the set to prove the extent of true axioms. I like your inclusion of the Mobius strip. The Los Angeles Museum of Science & Industry had an exhibit of a Mobius strip with a train going around - every side. I like to play a joke with Zeno's paradox of going 1/2 way, then 1/2 way infinitum, of eating desert. I'll have 1/2 the first night, then 1/2 the second day, then 1/2 on each successive day, forever! You mentioned it is One of your Ten favorite books. We'd like to hear about the others. Thanks again.
@Carlos.Explains
@Carlos.Explains Год назад
Thanks Eve for such a thoughtful comment. Would love to track down that LA exhibit with the mobius train. And that's so funny, I do the same thing with sweets! My top ten, in no particular order: Man's Search for Meaning Siddhartha Be Here Now The Red Book Godel, Escher, Bach Infinite Jest (David Foster Wallace is my favorite author) Antifragile A Primate's Memoir The Marriage Plot The Book of Basketball
@evekinglehman84
@evekinglehman84 Год назад
@@Carlos.Explains Thanks for stating your top 10. Now the ones I haven't read are on my to read list.
@aaronknight7129
@aaronknight7129 Год назад
Consciousness as a mental fractal, sounds a lot like scale free intelligence:-) cool
@disfuncionexe
@disfuncionexe Год назад
these concepts remind me of the thoughts I had on acid. when I thought about different things I would think though the things I connected to that thing and I would always come back to the thing. everything felt like it looped back to itself.
@Carlos.Explains
@Carlos.Explains Год назад
Interesting, thank you for sharing.
@PeeGee85
@PeeGee85 Год назад
I never really understood "this statement is false". If the statement should be evaluated as a truth claim, it should be read as "this statement, when evaluated as a truth claim, returns false", and you'll see that it's nonsensical because the sentence doesn't actually contain any truth claim to be evaluated. Otherwise if the statement should be evaluated as an assertion, it should be read as "this statement represents the value false", in which case it's true that the sentence represents the value false, which isn't a contradiction or an invitation to evaluate it as a truth claim. What am I missing here?
@Carlos.Explains
@Carlos.Explains Год назад
Hey Rik, thanks for the comment. I think including "when evaluated as a truth claim, returns false" is unnecessary. While it's technically clearer, I don't think it changes Godel's finding. You make an interesting point about the vagueness of language here though. "This statement is false" is mostly used as a way to help explain the incompleteness theorem.
@yestokindness99
@yestokindness99 Год назад
You missed literally everything. Try again. Carlos is being too kind here. You're lost in Semantics.
@sethrenville798
@sethrenville798 Год назад
Think "This sentence is incorrect." Instead, and the semantics still work
@almoatasem
@almoatasem Год назад
You're right. It is very silly and makes no sense. I understand that it attempts to demonstrate an effect akin to breaking the fourth wall, and initially it seems to achieve that at first glance. But upon further inspection, the sentence "this statement is false" is nothing but a random collection of words. It's not anything. Just because language allows you to place words in one sequence or another, doesn't necessarily mean that it has to make sense, even if initially it tricks you that it does just because it's grammatically correct or follows proper syntax. I can say something like "A tragedy presses the smell of knitting gladly"... Syntax is correct, meaning is garbage. When you break down "this statement is false", you'll notice that we already have a problem before we even get to the "is" part of the sentence. Before you tell me whether something is false, correct, tasty, awful, or whatever, you need to first identity what you're talking about. In this case, the thing we're talking about is "this statement". Now, is "this statement" a thing that can be described or have qualities at all? No it's not. It's just a pointer. Like an arrow that's meant to point at something. The quality of pointing at things cannot be inspected for qualities such as true or false. It's like making an arrow sign and not putting it up anywhere and just holding it in your hand. It's not yet fulfilling its purpose. Now if the arrow sign says Restaurant on it but it points at the wrong direction, then we can say this sign is false. And we could only say that it's false because we identified what it's pointing to. The exact same thing happens with the sentence "this statement"... It's an arrow that just came out of the arrow factory sitting on some truck with hundreds of other arrows waiting to be utilized. Imagine someone holding one of these unused arrows and says "this arrow is wrong". How absurd and silly is that?
@almoatasem
@almoatasem Год назад
Long comment short... He is a corrected version of the absurd sentence "this statement is false"... It's like you're taking an English exam and one of the questions goes like this: (The statement........is false) Fill in the blanks. Then a student with a normal brain understands obviously that the sentence is incomplete and they start looking for false statements like "the sun is blue"... Which would be a correct answer... What we have in our hands here is people who, instead of filling in the blanks, they REMOVED the blanks! And then started philosophizing on it.
@TheMeaningCode
@TheMeaningCode 11 месяцев назад
23:00 Here’s what closes the gap. All three of those were created by a consciousness. That’s why it tells you about consciousness. Art as an artifact of consciousness… The process of making art as an artifact of creating or making in general…
@S.G.Wallner
@S.G.Wallner Год назад
Life changing ideas. The dialogues of Achilles and the tortoise and Mu. Wow, I'll never forget that feeling of knowing my mind was expanding in real time. Have you checked out, The Mind's I, by Hofstadter and Dennet? I don't agree with everything they propose, but it's great, tough stuff to chew on.
@Carlos.Explains
@Carlos.Explains Год назад
Thanks! I had a similar feeling reading GEB. :) I haven't read The Mind's I yet! Just added to my reading list, thanks for the recommendation.
@bwa_8
@bwa_8 Год назад
C'était vraiment très intéressant 👍
@Carlos.Explains
@Carlos.Explains Год назад
Merci beaucoup 👍
@EviloveMetal
@EviloveMetal Год назад
Loveeeee thisss!!!
@Carlos.Explains
@Carlos.Explains Год назад
Thanks Evilove! Keep rocking hard in Vancouver.
@exmodule6323
@exmodule6323 Год назад
The whole Russel Paradox / “this statement is false” affair has always sounded so inconsequential to me, like an idea a Philosophy 101 freshman would say. Yet it’s held up as some astounding 20th century realization. It’s all so bizarre and trivial really. I think I had a similar idea to Russel back in 6th grade or something. It’s just cringe to me
@johnshearing
@johnshearing Год назад
His book describes complex adaptive systems and these are conscious
@finnarmstrong-schmakeit990
@finnarmstrong-schmakeit990 2 месяца назад
I agree with this statement.
@soy_red
@soy_red 11 месяцев назад
when I was 5 or 6 I remember experiencing this loopyness. The only way I have been able to describe it is "like a moving tesseract". I wasn't feeling v.good and perhaps I passed out... or almost died who knows! But I remember the feeling of being huge but also tiny at the same time.. I remember the feeling of being both on the inside whilst being on the outside at the same time. The experience has perplexed me ever since and I've been searching for the vocabulary to describe it... and to find people who have experienced it also. It was a dark space, peaceful, I didn't feel alone there, I felt like someone was there with me... maybe I entered the void. I'd be grateful if anyone who experienced something similar would share their thoughts by replying to this comment. I'm curious...
@Carlos.Explains
@Carlos.Explains 11 месяцев назад
Interesting, thanks for sharing soy_red.
@tommartin2423
@tommartin2423 11 месяцев назад
Thanks for your effort with this channel, very useful and helpful content, in fact, good enough, that perhaps you do not need to be quite so apologetic and self-effacing.
@Jacob011
@Jacob011 Год назад
This is Neoplatonic!
@jacek3544
@jacek3544 Год назад
After reading the book, I have a big dissatisfaction. The theses put forward resemble the fundamental axioms of philosophy trying to explain the origin and functioning of consciousness.
@TheMigajohnson
@TheMigajohnson Год назад
Torus
@soy_red
@soy_red 11 месяцев назад
Donut
@johnshearing
@johnshearing Год назад
Correct, ant colonies and beehives are conscious. Not the ants, not the bees, but the ant colonies and the beehives
@S.G.Wallner
@S.G.Wallner Год назад
What makes you confident in your claim? Are you open to changing your position?
@wulphstein
@wulphstein Год назад
This is all fairy dust. Glitter. When are we going yo get serious?
@soy_red
@soy_red 11 месяцев назад
"So we won't take ourselves too seriously. Because taking something serious doesn't make it go away any faster."
@____uncompetative
@____uncompetative Год назад
By definition a paradox does not establish meaning. It is self referentially asemantic. It is decoupled from anything that would let it yield meaning. _Gödel, Escher, Bach_ is hippie nonsense. Time wasted on it could be better applied to expanding your semantic web to wisdom.
@soy_red
@soy_red 11 месяцев назад
Paradox, a door, To the doughnut's cosmic core, Infinity explored.
@____uncompetative
@____uncompetative 11 месяцев назад
@@soy_red Some scientists speculate that our universe has a toroidal (doughnut) shape.
@soy_red
@soy_red 11 месяцев назад
@@____uncompetative Serpent spews its tail, Donut universe unfolds, Eternity churns.
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