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
