Timeline for Surreal Numbers and Set Theory
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 23, 2011 at 19:33 | comment | added | Sridhar Ramesh | (The other word for "ordinal numbers" that is sometimes used in the context of surreal number theory is "birthdays") | |
| Jul 23, 2011 at 19:33 | comment | added | Sridhar Ramesh | The stages in the cumulative hierarchy are the ordinal numbers; as indicated in the second paragraph, these are the surreal numbers you can get if you restrict right sets to always be empty. The surreal numbers $\omega/2$, $\omega - 1$, $\sqrt{\omega}$, etc., cannot be created without invoking a non-empty right set at some point. | |
| Jul 23, 2011 at 8:34 | comment | added | Alex Lupsasca | Thank you for your answer! So $V$ also contains $\omega/2$, $\omega-1$, $\sqrt{\omega}$, etc. but these numbers don't appear as stages in the cumulative hierarchy $V_\alpha$? | |
| Jul 21, 2011 at 23:29 | vote | accept | Alex Lupsasca | ||
| Jul 21, 2011 at 21:23 | history | edited | Sridhar Ramesh | CC BY-SA 3.0 |
added 28 characters in body
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| Jul 21, 2011 at 21:15 | history | answered | Sridhar Ramesh | CC BY-SA 3.0 |