Related to the Hyperreal numbers mentioned in the article is the class of Surreal numbers which have many fun properties. There's a nice book describing them authored by Don Knuth.
The hyperreals and surreals are actually isomorphic under a mild strengthening of the axiom of choice (NBG).
https://mathoverflow.net/questions/91646/surreal-numbers-vs-...
See Ehrlich’s answer.
The hyperreals and surreals are actually isomorphic under a mild strengthening of the axiom of choice (NBG).
https://mathoverflow.net/questions/91646/surreal-numbers-vs-...
See Ehrlich’s answer.