#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber
Description
Urs Schreiber, theoretical physicist, mathematician, research scientist at NYU Abu Dhabi and founder of nLab, talks about Hegel's Science of Logic, Pure Being emerging from Pure Nothing, category 101: what is category theory, functors, morphisms, natural transformations, adjunctions, topos theory, the problems with perturbation theory in physics, higher topos theory in physics and how he founded nLab.
Urs: https://ncatlab.org/nlab/show/Urs+Schreiber
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TIMELINE
0:00 Introduction
1:28 Can Something Emerge From Nothing?
7:58 Is Mathematics Invented or Discovered?
18:03 Getting Into Physics, Math & Philosophy
26:59 What is Category Theory?
48:40 Category Theory 101: Functors & Natural Transformations
59:04 Category Theory 101: Adjunctions
1:16:07 Topos Theory 101: What Are Grothendieck Toposes?
1:26:38 Applications of Category Theory & Topos Theory
1:34:26 The Big Problem in Theoretical Physics
1:51:47 Hypothesis H
1:59:46 The Story of nLab
2:06:04 Lego Interpretation
2:07:01 Inspirations (Books, Movies, Role Models)
2:11:36 Legacy & Meaning of Life
#maths #physics























