In the philosophy of mathematics, finitism's an extreme form of constructivism, according to which a mathematical object doesn't exist unless it can be constructed from natural numbers in a finite number of steps. In her book Philosophy of Set Theory, Mary Tiles characterized those who allow countably infinite objects as classical finitists, and those who deny even countably infinite objects as strict finitists. The most famous proponent of finitism was Leopold Kronecker, who said: Although most… (
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