4 ms·
I really need a video on transfinite cardinals and ordinals beyond Aleph_0 and Epsilon_0. The VSauce video [1] on the topic only made me more curious with an el
by x3n0ph3n3 7y ago
I really need a video on transfinite cardinals and ordinals beyond Aleph_0 and Epsilon_0. The VSauce video [1] on the topic only made me more curious with an elusive tree diagram displaying a few, and PBS Infinite Series [2] [3] just barely touched it. The mention of the Veblen hierarchies really piqued my interest, but much of what I've found on them has been a bit too dense for me.
1. https://www.youtube.com/watch?v=SrU9YDoXE88 https://www.youtube.com/watch?v=SrU9YDoXE88
2. https://www.youtube.com/watch?v=uWwUpEY4c8o https://www.youtube.com/watch?v=uWwUpEY4c8o
3. https://www.youtube.com/watch?v=oBOZ2WroiVY https://www.youtube.com/watch?v=oBOZ2WroiVY
- gosub 7y agohttps://www.youtube.com/watch?v=QXliQvd1vW0&list=PL3A50BB9C34AB36B3 https://www.youtube.com/watch?v=QXliQvd1vW0&list=PL3A50BB9C3... enjoy!
- pas 7y agoWait wait. Transfinite induction uses ordinals ( https://en.wikipedia.org/wiki/Large_countable_ordinal https://en.wikipedia.org/wiki/Large_countable_ordinal ) To get large cardinals (beyond ZFC) you need large cardinal axioms. ( https://en.wikipedia.org/wiki/List_of_large_cardinal_properties https://en.wikipedia.org/wiki/List_of_large_cardinal_propert... )