AI-powered
podcast player
Listen to all your favourite podcasts with AI-powered features
34sec snip
282 | Joel David Hamkins on Puzzles of Reality and Infinity
Sean Carroll's Mindscape: Science, Society, Philosophy, Culture, Arts, and Ideas
Multiple Mathematical Universes
The existence of multiple coherent concepts of sets can lead to different set theories and mathematical universes with varying truths, hypotheses, and cardinality sizes. In such a scenario, there may not be a single definitive answer to every mathematical question, as the answer would depend on the specific mathematical universe in consideration. Despite this variability, all mathematical universes can still be seen as fully real in the platonic sense, akin to multiple coexisting platonic realms.
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