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

08/11/2025 2h 23min Episodio 138

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

Episode Synopsis

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+SchreiberSUPPORT:Patreon: https://www.patreon.com/knowtimeAnchor: https://anchor.fm/knowtime/supportYoutube Membership: https://www.youtube.com/channel/UCJ-937lA3_s2g5AxdpKQjVg/joinPODCAST:Anchor: https://anchor.fm/knowtimeSpotify: https://open.spotify.com/show/2CjRJPktODLDeHavCNDLGAApple Podcasts: https://podcasts.apple.com/us/podcast/know-time/id1535371851?uo=4CONNECT:Youtube: Subscribe!Instagram: https://www.instagram.com/knowtimetofly/Instagram (Personal): https://www.instagram.com/shalajlawania/Twitter: https://twitter.com/knowtimetoflyTwitter (Personal): https://twitter.com/shalajlawaniaFacebook: https://www.facebook.com/knowtimetoflyReddit: https://www.reddit.com/r/knowtimetofly/Blog: http://www.sadisticshalpy.com/Producer & Host: Shalaj LawaniaTIMELINE0:00 Introduction1:28 Can Something Emerge From Nothing?7:58 Is Mathematics Invented or Discovered?18:03 Getting Into Physics, Math & Philosophy26:59 What is Category Theory?48:40 Category Theory 101: Functors & Natural Transformations59:04 Category Theory 101: Adjunctions1:16:07 Topos Theory 101: What Are Grothendieck Toposes?1:26:38 Applications of Category Theory & Topos Theory1:34:26 The Big Problem in Theoretical Physics1:51:47 Hypothesis H1:59:46 The Story of nLab2:06:04 Lego Interpretation2:07:01 Inspirations (Books, Movies, Role Models)2:11:36 Legacy & Meaning of Life#maths #physics

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