Surreal numbers
Study / Research
A rich number system blending infinities and infinitesimals; discussed in the context of number systems and foundations.
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Videos Mentioning Surreal numbers

Infinity, Paradoxes, Gödel Incompleteness & the Mathematical Multiverse | Lex Fridman Podcast #488
Lex Fridman
A rich number system blending infinities and infinitesimals; discussed in the context of number systems and foundations.

Donald Knuth: Programming, Algorithms, Hard Problems & the Game of Life | Lex Fridman Podcast #219
Lex Fridman
A book written by Knuth in dialogue form, based on John Conway's theory of numbers. Knuth recreated the theory from memory after losing Conway's original napkin, and later rewrote it using a corrected axiom.

Jordan Ellenberg: Mathematics of High-Dimensional Shapes and Geometries | Lex Fridman Podcast #190
Lex Fridman
A number system created by John Conway, where each number is represented as a game.