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Came here and thought this going to be about the Nim programming language.
OK, I've edited the title to make it clearer that this is about the mathematical game and not the programming language.
The author's previous post on winning strategies for regular Nim may be more interesting to people here: https://jdh.hamkins.org/win-at-nim-the-secret-mathematical-s...
Also, I find it funny that reading about Nim is how I learned the term misère, even though I played lots of misère games before without realizing!
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OK, I've edited the title to make it clearer that this is about the mathematical game and not the programming language.
Mathematicians use term "game" how physicists use term "momentum".
(My understanding of how physicists use the term "momentum": they use it to describe a particular precisely defined physically meaningful quantity, which plays an important role in physics. This seems like an entirely reasonable, even admirable thing. But there seems to be a tone of disapproval in what you say. The obvious complaint about mathematicians' use of "game" would be something like: they took an ordinary word with an ordinary everyday meaning and used it to mean something weird and technical. But that's absolutely not what physicists do with "momentum"; the everyday uses are derived from the physicists' term.[1] So I'm confused.)
[1] There are actually pre-physics meanings of "momentum" but they are long dead . E.g., it could once mean 1/40 of an hour.
Earlier quoted context omitted.
Mathematicians use term "game" how physicists use term "momentum".
Could you be a bit more explicit? (My understanding of how physicists use the term "momentum": they use it to describe a particular precisely defined physically meaningful quantity, which plays an important role in physics. This seems like an entirely reasonable, even admirable thing. But there seems to be a tone of disapproval in what you say. The obvious complaint about mathematicians' use of "game" would be someth…
My grandpa was a fan of Nim, and at restaurants we’d play with sugar packets while waiting for food. It’s a great game to entertain kids. He also invented Dr. Nim which some gray beards may be familiar with. Turing Tumble is an evolution of Dr. Nim/DigiComp II.
Kudos ...
Nim is, in fact, a proper subset of Hackenbush, a game extensively studied by Conway. I found the following video extremely useful and well-visualized: https://www.youtube.com/watch?v=ZYj4NkeGPdM