Philosophy Lexicon of Arguments

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Paul Benacerraf
Field I 22
PlatonismVsNon-factualism/mathematics/Field: If we assume platonistically that the number 2 is a definite object, then the question whether the set {, {}} (also as a concrete object) is identical with it would be a question of fact.
Field: if one admits the Platonism, perhaps, but I do not.
Structure/Structuralism/Mathematics/Benacerraf: one can also see it "structuralist" that there are literally no numbers, but structures are the  sequences.
KitcherVs: (1974): if numbers are not acceptable entities, then also not the  sequences.
FieldVsVs: there is a variant with a solution: indeterminate reference or referential indeterminacy.
Field: indeterminacy of the reference is an everyday fact!

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 2017-05-28