Philosophy Lexicon of Arguments

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Interpretation: A) Making statements about other statements, whereby new vocabulary may be introduced. If no new vocabulary is introduced, new information can be obtained by changing the syntactic grouping.
B) In logic, interpretation is the insertion of values (objects) instead of the constants or free variables.

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

Author Item Summary Meta data

Books on Amazon:
Paul Benacerraf
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BenacerraffVsPlatonism: locus classicus - VsBenacerraf: based on an outdated causal theory of knowledge.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.

Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

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

H. Field
Science without numbers Princeton New Jersey 1980

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Ed. Martin Schulz, access date 2017-11-23