The world as a graph: defending metaphysical graphical structuralism

Analysis 71 (1):10-21 (2011)
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Abstract

Metaphysical graphical structuralism is the view that at some fundamental level the world is a mathematical graph of nodes and edges. Randall Dipert has advanced a graphical structuralist theory of fundamental particulars and Alexander Bird has advanced a graphical structuralist theory of fundamental properties. David Oderberg has posed a powerful challenge to graphical structuralism: that it entails the absurd inexistence of the world or the absurd cessation of all change. In this paper I defend graphical structuralism. A sharper formulation, some theorems about such structures, and careful attention to the interaction of metaphysical and mathematical features, shows that the absurdities depend on assumptions that are not essential to the view and brings to light a surprising fact about the necessary structure of fundamental properties.

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Author's Profile

Nicholas Shackel
Cardiff University

References found in this work

The Mathematical Structure of the World.Randall R. Dipert - 1997 - Journal of Philosophy 94 (7):329-358.

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