But suppose there were a culture that said, "2 + 2 = 5," and their definitions of two, five, equality, and addition were the same as ours. If they all agree, they can't be wrong, can they? — Pneumenon
You editing a wiki article again? — Baden
But suppose there were a culture that said, "2 + 2 = 5," and their definitions of two, five, equality, and addition were the same as ours. If they all agree, they can't be wrong, can they? — Pneumenon
I open a math book and find a new definition. Is that not a thing I find? — jgill
Some one else put it there. — Banno
Maybe. It comes from Wittgenstein. Do you think him naive? — Banno
Yeah, but "StreetlightX" refers to StreetlightX in a way that "1" does not refer to 1. — Banno
I don't want math to be anything all that special. — StreetlightX
Why finite sets? This seems an idiomatic use; and I;m not sure if it comes from Wittgenstein or RodychGiven that we have invented only mathematical extensions (e.g., symbols, finite sets, finite sequences, propositions, axioms)...
An infinite mathematical extension (i.e., a completed, infinite mathematical extension) is a contradiction-in-terms
Why would they do that? — Baden
What you have constructed is a contradiction; they can't both claim to be adding in the way we do and that 2+2=5 — Banno
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