In this paper we consider the role of trust in relation to mathematical proof. After some basic remarks on the main philosophical issues involved, we give material for five case studies, dealing in particular with a few recent disputes on controversial proofs (or purported proofs) of important conjectures.We try to assess some criteria of evaluation in order to obtain a possible philosophical lesson.
On trust in mathematics: some case studies
Bellotti, Luca
;Moriconi, Enrico
2020-01-01
Abstract
In this paper we consider the role of trust in relation to mathematical proof. After some basic remarks on the main philosophical issues involved, we give material for five case studies, dealing in particular with a few recent disputes on controversial proofs (or purported proofs) of important conjectures.We try to assess some criteria of evaluation in order to obtain a possible philosophical lesson.File in questo prodotto:
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