From Geometry to Conceptual Relativity

Publication Year:
2016
Usage 308
Downloads 308
Repository URL:
http://philsci-archive.pitt.edu/id/eprint/12605
Author(s):
Barrett, Thomas William; Halvorson, Hans
preprint description
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.