Philosophy Lexicon of Arguments

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Benacerraf, Paul
 
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Paul Benacerraf
Interpretation Field I 22
Interpretation/Benacerraf: (1965) Thesis: Identification of mathematical objects with others is arbitrary - E.g. numbers with quantities. - E.g. real numbers with Dedekind cuts, Cauchy sequences, etc. - There is no fact that decides which is the right one. - Field ditto.
I 22
Indeterminacy of reference/Field: is not a problem, but commonplace.
I 25
For Benacerraf it is about identity, not about reference - otherwise he might falsely be refuted with primitive reference: "Numbers" refers to numbers but not to quantities - But that is irrelevant.
I 25
BenacerraffVsPlatonism: locus classicus - VsBenacerraf: based on an outdated causal theory of knowledge.
Field I 25
BenacerrafVsPlatonism: (1973): if without localization and interaction we cannot know whether they exist. VsBenacerraf: indispensability argument.

Bena I
P. Benacerraf
Philosophy of Mathematics 2ed: Selected Readings Cambridge 1984

Fie I
H. Field
Realism, Mathematics and Modality Oxford New York 1989

Fie II
H. Field
Truth and the Absence of Fact Oxford New York 2001

Fie III
H. Field
Science without numbers Princeton New Jersey 1980


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Ed. Martin Schulz, access date 2017-04-28