The role of sourcing in mathematics

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations

Abstract

Some scholars will find it surprising that there is a chapter on mathematics in a handbook on multiple source use. The standard view of mathematics is that mathematical results are objective, infallible, and incorrigible. Mathematical results ostensibly have these attributes because they are established by deductive justifications or proofs. These deductive justifications are based on cold, impersonal logic that would be convincing to any knowledgeable mathematician. Why, then, would a mathematician ever need to consider the source of a justification when deciding how much evidentiary weight that the justification should have? The mathematician can just check the logic of the justification herself. Indeed, as Shanahan, Shanahan, and Misischia (2011) documented, some mathematicians claim that they actively ignore the source of a justification when evaluating it. The author of a justification should be irrelevant to the logical validity of the justification, which is the sole source of reliability for mathematical claims.

Original languageEnglish (US)
Title of host publicationHandbook of Multiple Source Use
PublisherTaylor and Francis
Pages238-253
Number of pages16
ISBN (Electronic)9781317238201
ISBN (Print)9781138646599
DOIs
StatePublished - Jan 1 2018

All Science Journal Classification (ASJC) codes

  • Social Sciences(all)

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