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NATURAL AXIOMS FOR CLASSICAL MEREOLOGY

Published online by Cambridge University Press:  27 December 2018

A. J. COTNOIR  and
ACHILLE C. VARZI
A. J. COTNOIR*
Affiliation:
Department of Logic and Metaphysics, University of St Andrews
ACHILLE C. VARZI*
Affiliation:
Department of Philosophy, Columbia University
*
*DEPARTMENT OF LOGIC AND METAPHYSICS UNIVERSITY OF ST ANDREWS EDGECLIFFE, THE SCORES ST ANDREWS, FIFE KY16 9AR, UK E-mail: [email protected]
†DEPARTMENT OF PHILOSOPHY COLUMBIA UNIVERSITY NEW YORK, NY 10027, USA E-mail: [email protected]
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Abstract

We present a new axiomatization of classical mereology in which the three components of the theory—ordering, composition, and decomposition principles—are neatly separated. The equivalence of our axiom system with other, more familiar systems is established by purely deductive methods, along with additional results on the relative strengths of the composition and decomposition axioms of each system.

Keywords

03A05mereologyBoolean algebrasaxiomatics
Type
Research Article
Information
The Review of Symbolic Logic , Volume 12 , Issue 1 , March 2019 , pp. 201 - 208
Copyright
Copyright © Association for Symbolic Logic 2018 

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References

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