Posts

Andrej Bauer - Models of intuitionism and computability

Image
I got a bit lost there, ... but it does sound like there are a lot of things you can say about computability beyond just that "uncomputable functions exist".  It also sounds like Andy Pitts doesn't like modal logic.  I wonder what the quote was that he ended the talk with. I think it was something Jaap Van Oosten wrote somewhere. See  Basic subtoposes of the effective topos  (2013) by Sori Lee and Jaap van Oosten. Subscribe to  De KNAW . Here's a May 2022 talk on the countable reals. Subscribe to Topos Institute . After listening to these two talks last night I dreamed that someone was explaining to me how you could build computational circuits using a kind of "coclocking". In this scheme the clock was an index into a type which was the successive ticks, and it meant that there was a notion of continuity in temporal evolution which was not the sort of thing Albert Einstein would have immediately understood. It was a really interesting dream! See David Alber...

David Albert Talking Complete Nonsense

Image
I am having serious trouble listening to this stream of complete crap he's talking. I have only managed an hour so far, with a few breaks. Subscribe to  Robinson Erhardt   Albert Einstein was also full of the same "realist" crap. It's not realism, it's a complete metaphysical phantasy! See  Why is Physics So Difficult? Subscribe to the Institute o'fart and Ideas .

Beavers in Europe

Image
Sounds like this heatwave in Europe and the UK would have been much easier to handle if there were a lot more beavers.  Subscribe to Hope .

FUTO Notes and Rhombus Announcements

Image
See https://notes.futo.tech/ Subscribe to FUTO .   See  https://rhombus-lang.org/ Subscribe to Racket . 

Charlotte Moser on Data Assimilation

Image
My comment : There is this 2000 paper "Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states" by Roderick C. Dewar which is really insightful, I think, but I found it quite hard to understand at first. He deals with the problem of defining what are the parameters of the macroscopic model without referring to any details of the microscopic system: so the reproducible macroscopic behaviour is described entirely in terms of expectation values on the underlying distributions in phase space.  The problem is that in a weather forecast it is not even clear what temperature/humidity could mean at the level of even a 10x10x10cm cube of air. So the idea of the accuracy of the measurements is kind of redundant since we have no way to even say what accuracy means!  See  Lyapunov Stability in Dynamical Systems  and  these other posts of mine .   Subscribe to Charlotte Mo...

Physics, Self Reference and Self Consciousness

Image
The muppets at 5:24 : Subscribe to  Oz Harms . See George Ellis and Ard Louis on top-down causation in  Why is Physics So Difficult? It seems like real life only because we know what it is supposed to be like:  And we know it ends well, ... Subscribe to Secondhand Movie Company . This post is a sequel to  About Logic - Is Mathematics a Story? What is a dependent type? What is a judgement? There's one missing, isn't there? What is a dependent judgement then? It's a judgement about a judgement, because it includes the turnstile. So how do you construct one? 21:06 . All these judgements are hypothetical : they depend upon some actual construction of the contexts Г in which they are valid, just like real life .  11:15 .   See the full list of talks here .  The two texts referred to ( 17:10 ): The HoTT Book, a.k.a. Homotopy type theory: Univalent foundations of mathematics . Introduction to Homotopy Type Theory by Egbert Rijke. Subscribe to  EPIT Spri...

Colleen Fazio Made a New Amp for Sale

Image
See  https://www.fazioelectric.com/amps . Subscribe to Fazio Electric . 

DemistifySci Podcast on Making Sense of Physics

Image
It's an interesting discussion. Get their book via  this stripe link .  Some comments: 1:28:06  On bodies and their actions. Someone mentioned batteries storing electrons and Shilo compared that idea to the one that ovens store heat. Ovens and batteries are things physicists actually used to abstract concepts like electric charge and thermal energy and their relationships like the heating effect of resistance to charge flow. All of that phenomenological physics was done without positing any fundamental carriers of heat or charge. In terms of bodies and their actions you can explain an oven in terms of a cold body being put in contact with a hot one and the action being an increase of temperature of the cold body and a decrease in that of the hot one. One can then relate temperature and electric current using thermocouples, say. Then one can abstract the notion of a current source at a certain potential and call that body a chemical battery (copper and zinc electrodes in a...

Glenn Diesen and Academy of Ideas on Two Ways to Find Meaning in Life

Image
Subscribe to Judge Napolitano .     Subscribe to Academy of Ideas .

About Logic - Is Mathematics a Story?

Image
They're threatening to do this weekly, ... My comment :  Looking forward to the Dana Scott interview! Maybe there's not time to do this before then, but I would like to hear a discussion about the different views people have about models. I sometimes think that Computer scientists look for models in the zoo of mathematical theories, because they feel like this the only possible source of their legitimacy: they say something like "Well, this type system is sound because if it wasn't then ZFC would be inconsistent and you would have much bigger things to worry about than the soundness of my little type system!" But then serious mathematicians who have Fields medals come along and say "Well actually, I have these proofs that I've done in Higher Homotopy theory and I seriously doubt anyone has checked them as carefully as I did, and I am not sure that I haven't made a mistake somewhere, ..." and then they find a type system that a computer scientist ...