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Why Is Proof the Only Way to Acquire Mathematical Knowledge?

This paper proposes an account of why proof is the only way to acquire knowledge of some mathematical proposition's truth. Admittedly, non-deductive arguments for mathematical propositions can be strong and play important roles in mathematics. But this paper proposes a necessary condition for knowle...

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Published in:Australasian Journal of Philosophy Vol. 102; no. 2; pp. 333 - 354
Main Author: Lange, Marc
Format: Article
Published: Taylor & Francis Ltd Jun2024
Subjects:
Mathematics
Research
Proposition (Logic)
Induction (Logic)
Evidence
Online Access:View this record in EBSCOhost