Towards a Field Ontology

Dialectica 60 (1):5-27 (2006)
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Abstract

The aim of the present article is to make the notion of an ontology of fields mathematically rigorous. The conclusion will be that couching an ontology in terms of mathematical bundles and cross‐sections both captures many important intuitions of conventional ontologies, including the universal‐particular paradigm, the connection of universals and their ‘instantiations’, and the notion of ‘possibility’, and makes possible the framing of ontologies without ‘substrata’, bare particulars, and primitive particularizers.

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Citations of this work

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References found in this work

Particulars in particular clothing: Three trope theories of substance.Peter Simons - 1994 - Philosophy and Phenomenological Research 54 (3):553-575.
Trope Sheaves. A Topological Ontology of Tropes.Thomas Mormann - 1995 - Logic and Logical Philosophy of Science 3:129-150.
Abstract Particulars.E. J. Lowe - 1991 - Philosophical Quarterly 41 (162):104-106.
Trope sheaves. A topological ontology of tropes.Thomas Mormann - 1995 - Logic and Logical Philosophy 3:129.
On Continuity: Aristotle versus Topology?Michael J. White - 1988 - History and Philosophy of Logic 9 (1):1-12.

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