From Geometry to Conceptual Relativity

Thomas William Barrett, Hans Halvorson

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1043-1063
Number of pages21
JournalErkenntnis
Volume82
Issue number5
DOIs
StatePublished - Oct 1 2017

All Science Journal Classification (ASJC) codes

  • Philosophy
  • Logic

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