What name did you settle upon? The difficulty, I suppose, is that you never know whether the meaning you’re intending to convey with your name is the meaning that other people will interpret.

Ambiguity of meaning will always be a prominent aspect of any decentralized language, like English. It’s a feature as well as a bug.

Example: when you say ALL NUMBERS, does that mean all real numbers? Or does it mean all surreal numbers, which (if I understand correctly) includes values that are not contained in the reals? btw the surreals were devised by Conway when he, like you, was researching a game! (Go in his case)

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btw the method you’re using to calculate your player’s skill seems similar to Dedekind’s method for creating real numbers from rationals, or Knuth’s method for creating surreal numbers. Which I’d need to review to know if that makes any sense whatsoever. But first …

Time for my #100pushups!

Nobody cares about surreal numbers. I can't even tell if any of them are in the interval. Real numbers.