Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with surreal-numbers
Search options answers only
not deleted
user 6794
For questions about the surreal numbers, which are a real-closed ordered proper-class-sized field that contains both the real numbers and the ordinal numbers. Thus they contain both infinite numbers (including the ordinals, but also infinite numbers like ω-1 and sqrt(ω)) and infinitesimal numbers (like 1/ω). They can also be identified with a subclass of two-player partisan games.
27
votes
Who discovered the surreals?
If one thinks of the surreal numbers as just a proper-class sized saturated real-closed field, then I think Alling deserves much of the credit for the discovery or invention. He didn't deal with the p …
- 73.1k
7
votes
First-order definable bijection between $P(On)$ (or $No$) and $V$? (Is this equivalent to $V...
$\mathcal P(\text{On})$ has a definable linear ordering, namely the lexicographical one: One set $x$ of ordinals precedes another set $y$ of ordinals iff the first element of their symmetric differenc …
- 73.1k
9
votes
Accepted
Surreal numbers and large cardinals
I'm not aware of references that use universes in the study of surreal numbers. The reason --- for the non-existence of such references or for my non-awareness of them if they do exist --- is that th …
- 73.1k
13
votes
A question about J.H. Conway's SURREAL NUMBERS
As you said, each surreal number can be regarded as a set, but the collection of all of them is a proper class. The set-theoretic issues involved in "developing the theory of these numbers" are the s …
- 73.1k