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Symmetric relations, symmetric theories, and Pythagrapheanism

Button, Timothy; (2023) Symmetric relations, symmetric theories, and Pythagrapheanism. Philosophy and Phenomenological Research (In press).

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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.

Type: Article
Title: Symmetric relations, symmetric theories, and Pythagrapheanism
Publisher version: https://onlinelibrary.wiley.com/journal/19331592
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Dept of Philosophy
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10153946
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