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II—Cian Dorr: Physical Geometry and Fundamental Metaphysics

Cian Dorr
DOI: http://dx.doi.org/10.1111/j.1467-9264.2011.00303.x 135-159 First published online: 1 April 2011


I explore some ways in which one might base an account of the fundamental metaphysics of geometry on the mathematical theory of Linear Structures recently developed by Tim Maudlin (2010). Having considered some of the challenges facing this approach, Idevelop an alternative approach, according to which the fundamental ontology includes concrete entities structurally isomorphic to functions from space-time points to real numbers.

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