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Sep 2, 2023 at 1:13 comment added Gerald Edgar For general Conway games, multiplication is undefined.
Sep 1, 2023 at 21:47 history edited SebbyIsSwagAndFrutigerAero CC BY-SA 4.0
improved formatting
Jul 20, 2023 at 20:45 comment added Joel David Hamkins @SebbyIsSwag The Conway game notation realizes surreal numbers as Conway games (which simply drop the requirement that members of the left set must be less than members of the right set). And those games have a kind of algebra. To my way of thinking, the question would be: can we realize the surreal complex numbers in the space of Conway games? For example, which game is the imaginary unit $i$? Your proposed representation does provides a notation for the surreal complex numbers, but not as Conway games.
Jul 20, 2023 at 18:11 comment added SebbyIsSwagAndFrutigerAero @GeraldEdgar can't we write $a+bi$ as $a_L+b_Li | a_R+b_Ri$?
Jul 20, 2023 at 16:50 comment added Gerald Edgar Elements are not given in $\{a|b\}$ notation.
Jul 20, 2023 at 16:12 history edited SebbyIsSwagAndFrutigerAero CC BY-SA 4.0
Better formmating
Jul 20, 2023 at 16:08 vote accept SebbyIsSwagAndFrutigerAero
Jul 20, 2023 at 15:22 comment added LSpice TeX note: $No$ No spaces poorly. If you want something similar looking, you can use $\mathit{No}$ \mathit{No}; I edited accordingly. If you would like it upright, as in @JoelDavidHamkins's answer, then you can use $\mathrm{No}$ \mathrm{No} (but note that \operatorname is often the better tool for upright mathematics—it is meant, as the name suggests, for "operators", like $\sin$, $\cos$, $\lim$, etc).
Jul 20, 2023 at 15:20 history edited LSpice CC BY-SA 4.0
`No` -> `\mathit{No}`
Jul 20, 2023 at 14:31 answer added Alec Rhea timeline score: 5
Jul 20, 2023 at 14:09 answer added Joel David Hamkins timeline score: 5
S Jul 20, 2023 at 13:42 review First questions
Jul 20, 2023 at 14:03
S Jul 20, 2023 at 13:42 history asked SebbyIsSwagAndFrutigerAero CC BY-SA 4.0