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Dec 6 at 23:21 review Suggested edits
Dec 7 at 1:26
Jul 20, 2023 at 20:39 comment added Alec Rhea @JoelDavidHamkins I trust your breadth of literature exposure; perhaps this is just a contrivance of mine, seeing the On and No duality and allowing my propensity for subscripts to take over.
Jul 20, 2023 at 19:28 comment added Joel David Hamkins I don't think I've ever seen $O_n$ as a notation for the ordinals, although I have certainly seen On as well as Ord. I always took No as the notation for the surreals to consist of its inversion of On, as well as the fact that "No." is a common abbreviation for "Number".
Jul 20, 2023 at 17:10 comment added Alec Rhea @LSpice I'm not sure where I first encountered this notation (maybe in 'Foundations of Surreal Analysis' by Alling?), but I believe it was a reversal of $O_n$ for the ordinals.
Jul 20, 2023 at 15:24 comment added LSpice I'd always thought it was $\mathit{No}$ or $\mathrm{No}$, as in @JoelDavidHamkins's answer, for "nombre" or something like that, but viewing it as a particularly important characteristic-$0$ "field" does make sense of the notation $N_0$. Is that the usual notation?
Jul 20, 2023 at 14:31 history answered Alec Rhea CC BY-SA 4.0