Norman Wildberger: Why Infinity Is a Mathematical Mistake

Norman Wildberger: Why Infinity Is a Mathematical Mistake

Norman Wildberger (UNSW) dismantles infinity and real numbers, defending finitism as math's true foundation He also explains his rational trigonometry approach and discusses how his views intersect with physics, set theory, and even UFOs.- 00:00:00 - Introduction- 00:03:29 - Banter- 00:08:08 - Overview of Wildberger's philosophy- 00:09:35 - Problem with infinity in mathematics- 00:14:46 - Algorithmic reality & Wolfram model- 00:16:03 - Physics and infinity (Riemann sphere, spinors)- 00:19:14 - Infinity cannot be "done"- 00:42:26 - Physics doesn't use infinities- 00:45:03 - Wave function of half spin up/down- 00:47:25 - Learning tip: ask what is really going on- 00:48:32 - What is Rational Trigonometry?- 00:53:23 - Why Wildberger rethinks foundations- 01:01:49 - Beauty in constructive approach- 01:04:52 - Simplicity of Wildberger's courses- 01:08:31 - Non‑standard analysis- 01:10:42 - Problems with set theory- 01:13:57 - Penrose and Witten on real numbers- 01:16:09 - Pure mathematicians vs physicists- 01:17:17 - How would Wildberger rephrase IVT?- 01:19:31 - Is math flawed but no inconsistencies?- 01:21:21 - Constructionists' physics foundations- 01:27:21 - Infinite index sets?- 01:32:13 - Cranks and Platonism- 01:34:30 - Dealing with calumny- 01:36:33 - Wildberger interested in UFOsSPONSORS:- Brilliant: 20% off - https://brilliant.org/TOE- Algo podcast channel - https://www.youtube.com/channel/UC9IfRw1QaTglRoX0sN11AQQ- Algo website - https://www.algo.com/- Patreon - https://patreon.com/curtjaimungal- Crypto - https://tinyurl.com/cryptoTOE- PayPal - https://tinyurl.com/paypalTOE- Twitter - https://twitter.com/TOEwithCurt- Discord - https://discord.com/invite/kBcnfNVwqs- iTunes - https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802- Pandora - https://pdora.co/33b9lfP- Spotify - https://open.spotify.com/show/4gL14b92xAErofYQA7bU4e- Reddit - https://reddit.com/r/theoriesofeverything- Merch - https://tinyurl.com/TOEmerchRESOURCES:- Prof. Norman Wildberger's YouTube channel: https://www.youtube.com/njwildberger- Rational Trigonometry (YouTube series): https://www.youtube.com/playlist?list=PL3C58498718451C47- Rational Trigonometry (book): https://amzn.to/3rEygVW- https://youtu.be/l7LvgvunVCM- http://betterleftunsaidfilm.com Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science. SPONSOR: I subscribe to The Economist for their science and tech coverage. As a TOE listener, get 35% off! No other podcast has this: https://economist.com/TOE FOLLOW: Substack | Spotify | YouTube | Twitter Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Episoder(342)

Rob Spekkens: Why the Quantum Wave Function Is Not Real

Rob Spekkens: Why the Quantum Wave Function Is Not Real

From Ancient Egypt to Leibniz... Brand‑new interview out with Robert Spekkens of the Perimeter Institute, one of the sharpest minds working on quantum foundations. In 2004, he constructed a classical ...

2 Feb 2h 47min

Subir Sarkar: Why Dark Energy Is a Local Illusion

Subir Sarkar: Why Dark Energy Is a Local Illusion

Hot off the press, Professor Subir Sarkar makes the case that dark energy doesn’t exist (and he’s not being provocative for its own sake). He’s the former head of Oxford’s particle theory group, serve...

26 Jan 2h 3min

Stuart Kauffman: There Is No Theory of Everything

Stuart Kauffman: There Is No Theory of Everything

This is an interview with Stuart Kauffman, one of the founders of complexity theory. He invented random Boolean networks at only 23 years old and helped establish the Santa Fe Institute. Now 86, he ma...

20 Jan 1h 28min

Timothy Williamson: The Logician Who Says Vagueness Has Exact Answers

Timothy Williamson: The Logician Who Says Vagueness Has Exact Answers

Timothy Williamson (Oxford) challenges modal logic, epistemic possibility, and the nature of philosophical knowledge.As a listener of TOE you can get a special 20% off discount to The Economist and al...

13 Jan 1h 57min

I’m Giving Away $5,000 to Explain Hard Physics (and AI)

I’m Giving Away $5,000 to Explain Hard Physics (and AI)

Host Curt Jaimungal launches #CORE1, a competition seeking high-level video explainers for physics, AI, and philosophy. If you're a researcher or student, you'll have a chance to win part of the $5,00...

18 Des 202510min

Bas van Fraassen: Why Science Does Not Reveal the Truth

Bas van Fraassen: Why Science Does Not Reveal the Truth

Professor Bas van Fraassen argues science doesn't deliver literal truth about reality, meaning unobservable physics is merely a model. He also contends the self isn't a thing and that logic permits fr...

15 Des 20252h 17min

Roger Penrose and Ivette Fuentes: A Bold New Test of Gravity

Roger Penrose and Ivette Fuentes: A Bold New Test of Gravity

Sir Roger Penrose and Professor Ivette Fuentes analyze the Ron Folman T-cubed experiment and whether the equivalence principle holds in quantum mechanics. They also detail gravity's role in wave funct...

25 Nov 20251h 13min

Curt Jaimungal: The Most Terrifying Philosopher I’ve Encountered

Curt Jaimungal: The Most Terrifying Philosopher I’ve Encountered

Curt Jaimungal dives into Kierkegaard’s three stages of life—aesthetic, ethical, and religious — showing how each promises freedom yet traps us in its own way. Through the lens of modern anxiety and c...

20 Nov 202518min

Populært innen Vitenskap

fastlegen
tingenes-tilstand
jss
rekommandert
rss-nysgjerrige-norge
liberal-halvtime
forskningno
sinnsyn
villmarksliv
fjellsportpodden
rss-paradigmepodden
rss-overskuddsliv
tomprat-med-gunnar-tjomlid
kvinnehelsepodden
rss-rekommandert
nordnorsk-historie
rss-bondevennen
rss-inn-til-kjernen-med-sunniva-rose
tidlose-historier
abels-tarn