Probabilistic proofs and transferability

Philosophia Mathematica 17 (3):341-362 (2008)
Abstract
In a series of papers, Don Fallis points out that although mathematicians are generally unwilling to accept merely probabilistic proofs, they do accept proofs that are incomplete, long and complicated, or partly carried out by computers. He argues that there are no epistemic grounds on which probabilistic proofs can be rejected while these other proofs are accepted. I defend the practice by presenting a property I call ‘transferability’, which probabilistic proofs lack and acceptable proofs have. I also consider what this says about the similarities between mathematics and, on the one hand natural sciences, and on the other hand philosophy
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Reprint years 2009
DOI 10.1093/philmat/nkn032
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References found in this work BETA
Paul Benacerraf (1973). Mathematical Truth. Journal of Philosophy 70 (19):661-679.

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Citations of this work BETA
Alexander Paseau (2015). Knowledge of Mathematics Without Proof. British Journal for the Philosophy of Science 66 (4):775-799.
Cory Juhl (2015). Statistical Data and Mathematical Propositions. Pacific Philosophical Quarterly 96 (1):100-115.

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