Barrett, Thomas William and Halvorson, Hans (2016) From Geometry to Conceptual Relativity. [Preprint]
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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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| Item Type: | Preprint | |||||||||
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| Keywords: | theoretical equivalence, equivalence of theories, geometry, conceptual relativity, many-sorted logic, Putnam, Goodman, Quine, metaphysical realism | |||||||||
| Subjects: | General Issues > History of Philosophy of Science General Issues > Logical Positivism/Logical Empiricism Specific Sciences > Mathematics General Issues > Philosophers of Science General Issues > Realism/Anti-realism General Issues > Structure of Theories |
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| Depositing User: | Thomas Barrett | |||||||||
| Date Deposited: | 16 Feb 2016 23:16 | |||||||||
| Last Modified: | 16 Feb 2016 23:16 | |||||||||
| Item ID: | 11911 | |||||||||
| Subjects: | General Issues > History of Philosophy of Science General Issues > Logical Positivism/Logical Empiricism Specific Sciences > Mathematics General Issues > Philosophers of Science General Issues > Realism/Anti-realism General Issues > Structure of Theories |
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| Date: | 13 February 2016 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/11911 |
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