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Proof, Reliability, and Mathematical Knowledge

Bibliographic Data

ID20141926
AuthorsAnthony F Peressini (0000-0002-3448-4416, Marquette University, corresponding author), Anthony Peressini
Year2003
Volume69
Issue3
Pages211-232
Publication date2003-12-01
Open AccessYes
TypeARTICLE
VenueTheoria (JOURNAL)
Journal identifiersISSN: 0040-5825 • E-ISSN: 1755-2567
PublisherWiley (PUBLISHER • GB)
DOI10.1111/j.1755-2567.2003.tb00763.x
OpenAlexW2046906344
LanguageEN
Citations received2
References cited21

With respect to the confirmation of mathematical propositions, proof possesses an epistemological authority unmatched by other means of confirmation. This paper is an investigation into why this is the case. I make use of an analysis drawn from an early reliability perspective on knowledge to help make sense of mathematical proofs singular epistemological status

Calculus (dental) · Epistemology · Mathematical practice · Mathematical proof · Perspective (graphical) · Reliability (semiconductor) · Artificial Intelligence · Computer Science · Epistemology, Ethics, and Metaphysics · Mathematics · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science

  • Why Is Proof the Only Way to Acquire Mathematical Knowledge

    Marc Lange•Australasian Journal of Philosophy•2024

  • Proofs, Reliable Processes, and Justification in Mathematics

    Yacin Hamami•The British Journal for the…•2023

  • Discrimination and Perceptual Knowledge

    Alvin I Goldman•The Journal of Philosophy•1976

  • Conclusive reasons

    Fred Dretske•Australasian Journal of Philosophy•1971

  • What is Justified Belief?

    Alvin I Goldman•Justification and Knowledge•1979

  • A Causal Theory of Knowing

    Alvin I Goldman•The Journal of Philosophy•1967

  • Strong and Weak Justification

    Alvin I Goldman•Philosophical Perspectives•1988

  • Confirming Mathematical Theories

    Open Access•Anthony F Peressini, Anthony Peressini•Synthese•1999

  • Applying Pure Mathematics

    Open Access•Anthony F Peressini, Anthony Peressini•Philosophy of Science•1999

  • Reasons, Knowledge, and Probability

    Open Access•Fred I Dretske, Fred Dretske•Philosophy of Science•1971

Citations per year0.67
Citation span2023 - 2024 (2)
Highly citedNo

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