AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
3min chapter
#370 – Edward Frenkel: Reality is a Paradox – Mathematics, Physics, Truth & Love
Lex Fridman Podcast
Euclidean Geometry: A Game of Mirrors
In mathematics there are many choices and so Euclidean geometry is actually good illustration of this because Euclid had five axioms four of them were kind of obvious like the one I just mentioned. The fifth which came to be known famously as the fifth postulate was that if you have a line and you have a point outside of this line there is a unique line passing through that point meaning that doesn't intersect it. For many for many centuries after that mathematicians were trying to derive this axiom from other axioms which were more obvious and they failed. It was only almost 2000 years later that mathematicians realized that you can’t not only you cannot derive but you can
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