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|Four Dimensionalism||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.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980