What is Mathematical Rigor?

Aphex 25:1-17 (2022)
  Copy   BIBTEX

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.

Links

PhilArchive

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Proof: Its nature and significance.Michael Detlefsen - 2008 - In Bonnie Gold & Roger A. Simons (eds.), Proof and Other Dilemmas: Mathematics and Philosophy. Mathematical Association of America. pp. 1.
Mathematical rigor and proof.Yacin Hamami - 2022 - Review of Symbolic Logic 15 (2):409-449.
Rigor and Structure.John P. Burgess - 2015 - Oxford, England: Oxford University Press UK.
Mathematical rigor in physics.Mark Steiner - 1992 - In Michael Detlefsen (ed.), Proof and Knowledge in Mathematics. Routledge. pp. 158.
What are mathematical diagrams?Silvia De Toffoli - 2022 - Synthese 200 (2):1-29.
Proofs, pictures, and Euclid.John Mumma - 2010 - Synthese 175 (2):255 - 287.
Who's Afraid of Mathematical Diagrams?Silvia De Toffoli - 2023 - Philosophers' Imprint 23 (1).
Adding academic rigor to introductory ethics courses using Bloom’s taxonomy.Casey Rentmeester - 2018 - International Journal of Ethics Education 3 (1):67-74.
Proof, Logic and Formalization.Michael Detlefsen (ed.) - 1992 - London, England: Routledge.
Rigor; or, stupid uselessness.Geoffrey Bennington - 2012 - Southern Journal of Philosophy 50 (s1):20-38.

Analytics

Added to PP
2022-07-03

Downloads
1,032 (#12,214)

6 months
382 (#4,671)

Historical graph of downloads
How can I increase my downloads?

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.

View all 24 references / Add more references