Category
Philosophy of mathematics
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The actual infinite is a useful fiction, not something real
Aristotle, in Physics III, allowed only the potential infinite: you can always count one more, but there's never a completed infinite totality. For two thousand years, most mathematicians agreed. Then Cantor, in…
Started by Vikram Sethi5 replies0 views -
Numbers exist independently of us: mathematical platonism is true
I'll defend platonism in its standard form: there are abstract mathematical objects, they don't depend on minds or language, and mathematical statements are true or false because of them. Main argument: indispensability,…
Started by Tomasz Wójcik5 replies0 views