What would a vow of silence look like for math?

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What would a "vow of silence" look like for math? Maybe we can't take the vow literally, but could instead do a thing where we never define anything. Hamish Todd mentioned this in his Braid stream where Braid never names any of the objects, so the user just has to label everything themselves.

A math game could have a similar thing where everything is just mechanics that get built up slowly, and nothing is defined/labeled for you.