DiscoverKnow Time#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber
#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber

#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber

Update: 2025-11-08
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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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Producer & Host: Shalaj Lawania


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

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#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber

#138: Category Theory 101, Math, Higher Topos Theory in Physics & Philosophy ft. Urs Schreiber

Know Time