The Eternal Doorman

See https://msp.cis.strath.ac.uk/msp101.html  I wish I had read this description of it before, because now it makes a heck of a lot more sense!  The simply-typed lambda calculus (STLC) gives us a nice Curry-Howard correspondence with propositional logic by treating the function arrow of STLC as implication. From this we can compute proofs as programs. But a natural question is then: what about predicate logics instead of propositional? Martin-Löf Type Theory (or Intuitionistic Type Theory) is a type theory based on predicate logic, with type constructions representing existentially quantified variables (Sigma) and universally quantified variables (Pi). We can also construct inductively defined families - W-types - as well-founded trees. Note that Martin-Löf's original paper was inconsistent due to having the type-in-type paradox, and that he later introduced a predicative version with universe hierarchies. In this introduction, we assume knowledge of the STLC and natural-deduc...

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It's really good. See her website: https://curiouswanderingsouls.com/ and her substack too: https://giftsfromyoungerme.substack.com/ . Get your copy of  This book is not for reading, and I mean it. I’m not trying to get you to read the book by telling you not to read it. This is a piece of art. An act ... using something in a way it was not intended  from Amazon, ... Subscribe to Curious Wandering Souls .

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I was just listening to people talking about how much time people spend communicating in text and how little people read, then I started looking again at Categories within the Foundation of Mathematics by Benjamin Horowitz and I realised that although he admits to leaving the idea of a collection undefined, he also leaves the idea of a map undefined, but then he is happy to make assertions about this undefined notion of a map, for example he says "It is important to note that a diagram doesn’t necessarily have to commute unless forced to by the properties of a category (as with the associativity and identity diagrams)." What on earth does he expect that to mean to someone? Then I remembered Steve Awodey's lectures being an unusually comprehensible introduction, so I went back to look at them again and I noticed this comment "Math joke: What do you call a category theorist who reads a paper? A co-author." See  Another Excellent Talk on HoTT by Steve Awodey . I...

He starts ( 4:03 ) talking about the difference between epistemically objective and subjective claims . I was thinking about human experience and the idea that we share certain common experience on account of our being human beings in common situations. This is ultimately what we mean when we make claims about the existence of qualia, which Searle calls ontologically subjective claims (the immediate subjective experience of seeing a colour, for example). We say the qualia "exist" because we have plenty of epistemic justification for believing there is some common shared experience to seeing colours, for example. We usually get this justification through sharing linguistic representations of the subjective experience. The so-called "hard problem of consciousness" is to try to explain the ontological foundation of these qualia ( 38:48 ). Some people think that an explanation of this needs to be given in terms of physics. I wrote in 2010 that this is not so, because ...

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Thing got to over 500 miles per hour before it crashed. That is scary! The technique he is using is called dynamic soaring . His goal is to break the sound barrier. See these previous posts of mine . Subscribe to Manorcraft .

He goes back to the 1956 work of Herbert Simon and Alan Newell on a program called  Logic Theorist . My comment : 16:58 Reinforcement learning is what lies at the core of academic research in some fields. Don't knock it!  See Brady Haran interview with Terence Tao  and Brady Haran Interview with Hugo Duminil-Copin . Whilst looking this up I accidentally discovered that Herbert Simon coined the term Bounded Rationality in his 1957 book Models of Man . See  Theories of Bounded Rationality  which was published in C.B. McGuire and Roy Radner (eds.), Decision and Organization © 1972 North-Holland Publishing Company.  See also Is Bounded Rationality Unboundedly Rational? Some Ruminations By Kenneth J. Arrow. Doi: https://doi.org/10.7551/mitpress/4709.003.0007 . Subscribe to  Visual Math .