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    What Do Mathematicians Want? Probabilistic Proofs and the Epistemic Goals of Mathematicians

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    Author
    Fallis, Don
    Issue Date
    2002
    Submitted date
    2006-10-20
    Keywords
    Philosophy
    Social Epistemology
    Local subject classification
    epistemic goals
    epistemology
    mathematics
    probability
    proof
    
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    Citation
    What Do Mathematicians Want? Probabilistic Proofs and the Epistemic Goals of Mathematicians 2002, 45(179-180) Logique et Analyse
    Publisher
    National Centre for Logical Investigation (Belgium)
    Journal
    Logique et Analyse
    URI
    http://hdl.handle.net/10150/105046
    Abstract
    Several philosophers have used the framework of means/ends reasoning to explain the methodological choices made by scientists and mathematicians (see, e.g., Goldman 1999, Levi 1962, Maddy 1997). In particular, they have tried to identify the epistemic objectives of scientists and mathematicians that will explain these choices. In this paper, the framework of means/ends reasoning is used to study an important methodological choice made by mathematicians. Namely, mathematicians will only use deductive proofs to establish the truth of mathematical claims. In this paper, I argue that none of the epistemic objectives of mathematicians that are currently on the table provide a satisfactory explanation of this rejection of probabilistic proofs.
    Type
    Journal Article (On-line/Unpaginated)
    Language
    en
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