What is Mathematical Rigor?

Aphex 25:1-17 (2022)
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Abstract

Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.

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2022-07-03

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Author Profiles

John Burgess
Princeton University
Silvia De Toffoli
University School of Advanced Studies IUSS Pavia

References found in this work

What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Rigor and Structure.John P. Burgess - 2015 - Oxford, England: Oxford University Press UK.
Mathematical rigor and proof.Yacin Hamami - 2022 - Review of Symbolic Logic 15 (2):409-449.
Proofs and refutations (IV).I. Lakatos - 1963 - British Journal for the Philosophy of Science 14 (56):296-342.

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