Philosophy Lexicon of Arguments

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III 36
Space / quantification / four-dimensionalism / time slices / Field: we can quantify over points or regions, without obligation to absolute rest: Solution: We consider a statement about the space as an abbreviation for a statement about each time slice. - Time slice / Field: is generated by the relation of simultaneity. - Example: the sentence that the space is Euclidean, is a sentence about the fact that each time slice of space-time is Euclidean. Punch line: then the objects in the range of quantifiers are really space-time points and no longer mere space points.

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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.

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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> Counter arguments in relation to Four Dimensionalism



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Ed. Martin Schulz, access date 2017-06-25