AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
Key takeaways
Transcript
Episode notes
- Even mathematics is capable of error, because mathematics is a creative act.
- Knowledge is conjectural. It's always being guessed.
- The axioms might be incorrect. How do we know that an axiom is incorrect? Traditionally, the answer has been because it's clearly and obviously the case.
- How can you prove that x plus zero must equal x? Well, you just have to accept that it's true. But if we consider something like euclid's elements, for example, draw two points on a piece of paper. Now, through those points, a unique straight line can be drawn. This was accepted as true for centuries, but was later shown to be false.
- By questioning these deepest assumptions, it leads to true progress in the sciences.
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