Symmetric relations, symmetric theories, and Pythagrapheanism.

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...

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Publicado en:Philosophy & Phenomenological Research Vol. 107; no. 3; pp. 583 - 613
Autor principal: Button, Tim
Formato: Artículo
Publicado: Wiley-Blackwell Nov2023
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        Pythagoras & Pythagorean school
        Metaphysics
        Predicate (Logic)
        Undirected graphs
        Possibility
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          Pythagoras & Pythagorean school
          Metaphysics
          Predicate (Logic)
          Undirected graphs
          Possibility
      ab: 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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