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Malament-Hogarth Machines and Tait's Axiomatic Conception of Mathematics.

In this paper I will argue that Tait's axiomatic conception of mathematics implies that it is in principle impossible to be justified in believing a mathematical statement without being justified in believing that statement to be provable. I will then show that there are possible courses of experien...

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Published in:Erkenntnis Vol. 79; no. 4; pp. 893 - 908
Main Author: Berry, Sharon
Format: Article
Published: Springer Nature Aug2014
Subjects:
Mathematical logic
Mathematics research
Mathematical proofs
Philosophical research
Mathematical analysis
Online Access:View this record in EBSCOhost