AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
2min chapter
#138 – Yaron Brook: Ayn Rand and the Philosophy of Objectivism
Lex Fridman Podcast
Is There an Inconsistency in Axioms?
The incompleteness theorem was a powerful proof that any axiomatic systems, when you start from a bunch of axioms, probably must be an inconsistency. And I intuitively am going to say that's false philosophically, but in math, it's just true. It's a question about how you define again, definitions matter and you have to be careful on how you define axioms. The power of philosophy is so important for getting mathematics because it's such an abstract field.
00:00
Transcript
Episode notes
Get the Snipd
podcast app
Unlock the knowledge in podcasts with the podcast player of the future.
AI-powered
Discover
highlights
Listen to the best highlights from the podcasts you love and dive into the full episode
Save any
moment
Hear something you like? Tap your headphones to save it with AI-generated key takeaways
Share
& Export
Send highlights to Twitter, WhatsApp or export them to Notion, Readwise & more
AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
Discover
highlights
Listen to the best highlights from the podcasts you love and dive into the full episode