Paucality is the regime of cached arithmetic. Most of us have the results of common operations (+, -, *, /) on a set of cardinality <15 memorized (except for exponentiation and combinatorial operations, which top out around n=4)
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The underdetermination of arithmetic theory by observed arithmetic is called Kripkenstein: https://en.wikipedia.org/wiki/Wittgenstein_on_Rules_and_Private_Language …
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