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Publication Detail
Symmetric relations, symmetric theories, and Pythagrapheanism
  • Publication Type:
    Journal article
  • Publication Sub Type:
    Article
  • Authors:
    Button T
  • Publication date:
    01/01/2023
  • Journal:
    Philosophy and Phenomenological Research
  • Status:
    In preparation
Abstract
It is a metaphysical orthodoxy that interesting non-symmetric relations cannot be reduced to symmetric ones. This orthodoxy is wrong. I show this by exploring the expressive power of symmetric theories, i.e. theories which use only symmetric predicates. Such theories are powerful enough to raise the possibility of Pythagrapheanism, i.e. the possibility that the world is just a vast, unlabelled, undirected graph.
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