Mikael Gromov - Probability, Symmetry and Linearity

21:05 He says the idea of quantizing energy in Plank's black-body radiation formula actually came from Boltzmann.

1:01:24 He says mathematics can never escape from arbitrary consequences of some definite representation (1:05:27). 

1:12:47 On measure spaces not being spaces. See Joel Hamkins interviewed on About Logic and the Radon-Nikodym theorem.

18:05 Entropy and systems:

See the full set of six lectures here.

See also Mikhail Gromov on Mathematical Description of Biological Structures. 

 

Subscribe to IHES. 

Comments

Post a Comment

Popular posts from this blog

John Searle's Chinese Room Argument

Image
He's fed up with talking about this. I used to have a copy of the little book he wrote called Minds, Brains & Science. Apparently the AI at Google has read it too and gets it completely: How does stuff like this happen? Most people won't even notice what I'm saying even if I point out that the Google search changed the title. The book was really called Minds, Brains & Science , not Minds, Brains & Programs . (But maybe that was a later edition or something?) I asked Google and it said: John Searle's book Minds, Brains and Science did not become "Minds, Brains & Programs"—rather, they are two separate, distinct works published a few years apart: "Minds, Brains, and Programs" (1980): A landmark academic paper published in the journal Behavioral and Brain Sciences. This is where Searle first introduced his famous Chinese Room Argument to challenge the concept of "strong AI". "Minds, Brains and Science" (1984): A shor...
Read more

Tensor Fields and Simplicial Complexes

Image
Listening to Freya Holmér last night I started to get glimmers of an idea I had long ago about how to represent vector spaces in computational processes using this recursive abstract type :  abstype 'a point = POINT   of {getx :  'a vector,       diff :  'a point -> 'a point,       move :  'a point -> 'a point,       scale : 'a -> 'a point,       proj :  'a point -> 'a} with    fun new i (op +) (op -) (op * ) dot =    let fun self x =  POINT       {getx = x,        move = fn (POINT pr) =>           (self (x + (#getx pr))),        diff = fn (POINT pr) =>          self (x - (#getx pr)),        scale = fn i =>          (self (x * i)),        proj = fn (POINT pr) =>     ...
Read more

FUTO FUBS

Image
I think this is the first time they've actually publicly announced anything about this project. See these posts: Eron Woolf on Why Open Source is Failing Matt Mikhailov and Vincent McKibbon on The Problem with Open Hardware Jason Kridner talking About BeagleBoard.org and Software Development .  See these places:  https://danielc.dev/rk/ https://github.com/petabyt/rk https://github.com/futo-org/ret See also  https://pine64.org/devices/pinebook_pro/ . Subscribe to  FUTO .  See  https://github.com/nir9/low-level-learning-resources/tree/master/setups/debian . Subscribe to  Nir Lichtman .  If you're looking for a cool init process, try  https://ctx.graphics/terminal/ . See  Artful Bytes - When to Use a RTOS  and  How to Create a Successful Open Source Project . 
Read more