Timeline for What are the properties of $\operatorname{No}[i]$?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 2 at 20:51 | comment | added | SebbyIsSwagAndFrutigerAero | @SidharthGhosal So that could be written using set theory $\left\{ \left\{ \Re(a+bi)_L | \Re(a+bi)_R \right\}, \left\{ \Im(a+bi)_L | \Im(a+bi)_R \right\} \right\}$ | |
| Sep 2, 2023 at 0:44 | comment | added | Joel David Hamkins | Of course we can do that, but what I was wondering is whether we can find a collection of Conway games, just as they are (not pairs of games or what have you), which admit a field structure making them the surreal complex numbers. | |
| Sep 2, 2023 at 0:28 | comment | added | Sidharth Ghoshal | Why is it not sufficient to play Conway’s game in the real and imaginary parts separately to represent the whole field? / is that just considered uninteresting? And something is sought which isn’t playing 2 games at once but a single game. | |
| Sep 1, 2023 at 21:52 | comment | added | SebbyIsSwagAndFrutigerAero | Btw I've been experimenting with the "surquaternions" which are a quaternionic extension to the surreals (can be written as $\operatorname{No}[i, j]$, or using Alec Rhea 's notation $\operatorname{N_o}[i, j]$ | |
| Jul 20, 2023 at 16:08 | vote | accept | SebbyIsSwagAndFrutigerAero | ||
| Jul 20, 2023 at 15:00 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
deleted 1 character in body
|
| Jul 20, 2023 at 14:35 | comment | added | Joel David Hamkins | Meanwhile, I don't know if there is a useful Conway game representation of the surreal complex numbers, and I shall be interested to read about this if there is such a representation. | |
| Jul 20, 2023 at 14:29 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
added 146 characters in body
|
| Jul 20, 2023 at 14:16 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
added 99 characters in body
|
| Jul 20, 2023 at 14:09 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |