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Wiley InterScience

Dialectica

Dialectica

Volume 60 Issue 1, Pages 5 - 27

Published Online: 28 Jun 2005

Journal compilation © 2009 Editorial Board of dialectica



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Towards a Field Ontology
Christina Schneider
   Instit für Statistik, Ludwig-Maximiliams-Universität Munich, Germany; Email: schneider@stat.uni-muenchenfpg@uwyo.edu
Copyright 2005 Editorial Board of dialectica

Abstract

Abstract1. Preliminary theses2. Formal preliminaries3. Tropes and fields4. An approach to field ontology5. PerspectivesReferences

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 (i.e. fields) both (1) 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 (2) makes possible the framing of ontologies without 'substrata', bare particulars, and primitive particularizers (a goal that trope ontologies, for example, have sought to attain).


DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1746-8361.2005.01019.x About DOI

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