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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Bibliographic Details

Published in:	Philosophy & Phenomenological Research Vol. 107; no. 3; pp. 583 - 613
Main Author:	Button, Tim
Format:	Article
Published:	Wiley-Blackwell Nov2023
Subjects:	Pythagoras & Pythagorean school Metaphysics Predicate (Logic) Undirected graphs Possibility
Online Access:	View this record in EBSCOhost