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

Persistent Link:
http://hdl.handle.net/10150/105046
Title:
What Do Mathematicians Want? Probabilistic Proofs and the Epistemic Goals of Mathematicians
Author:
Fallis, Don
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
Issue Date:
2002
URI:
http://hdl.handle.net/10150/105046
Submitted date:
2006-10-20
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
Keywords:
Philosophy; Social Epistemology
Local subject classification:
epistemic goals; epistemology; mathematics; probability; proof

Full metadata record

DC FieldValue Language
dc.contributor.authorFallis, Donen_US
dc.date.accessioned2006-10-20T00:00:01Z-
dc.date.available2010-06-18T23:18:31Z-
dc.date.issued2002en_US
dc.date.submitted2006-10-20en_US
dc.identifier.citationWhat Do Mathematicians Want? Probabilistic Proofs and the Epistemic Goals of Mathematicians 2002, 45(179-180) Logique et Analyseen_US
dc.identifier.urihttp://hdl.handle.net/10150/105046-
dc.description.abstractSeveral 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.en_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenen_US
dc.publisherNational Centre for Logical Investigation (Belgium)en_US
dc.subjectPhilosophyen_US
dc.subjectSocial Epistemologyen_US
dc.subject.otherepistemic goalsen_US
dc.subject.otherepistemologyen_US
dc.subject.othermathematicsen_US
dc.subject.otherprobabilityen_US
dc.subject.otherproofen_US
dc.titleWhat Do Mathematicians Want? Probabilistic Proofs and the Epistemic Goals of Mathematiciansen_US
dc.typeJournal Article (On-line/Unpaginated)en_US
dc.identifier.journalLogique et Analyseen_US
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