On quantitative relationist theories

Philosophy of Science 56 (4):582-600 (1989)
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Abstract

Mundy (1983) presented the formal apparatus of certain relationist theories of space and space-time taking quantitative relations as primitive. The present paper discusses the philosophical and physical interpretation of such theories, and replies to some objections to such theories and to relationism in general raised in Field (1985). Under an appropriate second-order naturalistic Platonist interpretation of the formalism, quantitative relationist theories are seen to be entirely comparable to spatialist ones in respect of the issues raised by Field. Moreover, it appears that even if accepted as sound, Field's general line of criticism would not diminish the significance of relationism for philosophy of science, since this derives primarily from its connection to physical rather than to mathematical or philosophical ontology

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Citations of this work

Embedding and uniqueness in relationist theories.Brent Mundy - 1991 - Philosophy of Science 58 (1):102-124.
Physical Geometry.James P. Binkoski - 2016 - Dissertation, University of Massachusetts, Amherst

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References found in this work

Space, time, and spacetime.L. Sklar - 1976 - Revue Philosophique de la France Et de l'Etranger 172 (3):545-555.
The metaphysics of quantity.Brent Mundy - 1987 - Philosophical Studies 51 (1):29 - 54.
Relativity and Geometry.R. Torretti - 1985 - British Journal for the Philosophy of Science 36 (1):100-104.

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