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dan @danabra.mov · 03/08/2026

love this stuff so much www.infinitelymore.xyz/p/omnific-in...

The remarkable omnific integer ω
Let us begin by considering the surreal number ω, which at its birth is defined to fill the gap beyond all the finite integers

This is an omnific integer, of course, and I claim furthermore that as an omnific integer, it is even. Naturally it is even, since ω / 2 also is an omnific integer and (ω / 2) · 2 = ω. And similarly ω is divisible by 3, since ω / 3 is an omnific integer and (ω / 3) · 3=ω. In fact, it turns out, ω is divisible by every positive finite integer.

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symbol pusher @sleeppotion.bsky.social · 03/08/2026

Surreal numbers are incredible

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a bezoar @a-bezoar.bsky.social · 04/08/2026

The surreal numbers are defined as Dedekind cuts of totally ordered surreal numbers. The natural numbers can be totally ordered by addition or partially by division. In divisor order, 1 is the least number and 0 is the greatest which is divisible by every natural.

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