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How do proponents of finitism respond to the claim that their position is “dubiously coherent”?

Michael Dummett writes (page 349) Since primality is decidable, the statement that any particular natural number is prime must be determinately either true or false, since the decision procedure, ...
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Was Kant an Intuitionist about mathematical objects?

In regards to the ontology of mathematics, as far as I can understand, Kant believed that Mathematical objects existed only as features of our perception that influenced how we viewed things-in-...
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Intuitionism and physics

Is there a conflict between Brouwer's intuitionism and the claim that the free will must not exist because nature is deterministic ? It seems to me that the act of mental construction of mathematical ...