From Geometry to Conceptual Relativity

Erkenntnis 82 (5):1043-1063 (2017)

Authors
Hans Halvorson
Princeton University
Thomas William Barrett
University of California at Santa Barbara
Abstract
The purported fact that geometric theories formulated in terms of points and geometric theories formulated in terms of lines are “equally correct” is often invoked in arguments for conceptual relativity, in particular by Putnam and Goodman. We discuss a few notions of equivalence between first-order theories, and we then demonstrate a precise sense in which this purported fact is true. We argue, however, that this fact does not undermine metaphysical realism.
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DOI 10.1007/s10670-016-9858-y
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References found in this work BETA

Word and Object.W. QUINE - 1960 - MIT Press.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
Glymour and Quine on Theoretical Equivalence.Thomas William Barrett & Hans Halvorson - 2016 - Journal of Philosophical Logic 45 (5):467-483.
Realism and Reason.Hilary Putnam - 1983 - Cambridge University Press.
Model Theory.Wilfrid Hodges - 2008 - Stanford Encyclopedia of Philosophy.

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Citations of this work BETA

What Do Symmetries Tell Us About Structure?Thomas William Barrett - 2017 - Philosophy of Science (4):617-639.
Definable Categorical Equivalence.Laurenz Hudetz - 2019 - Philosophy of Science 86 (1):47-75.
Equivalent and Inequivalent Formulations of Classical Mechanics.Thomas William Barrett - forthcoming - British Journal for the Philosophy of Science:axy017.

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