NATURAL AXIOMS FOR CLASSICAL MEREOLOGY

A. J. Cotnoir, Achille C. Varzi · The Review of Symbolic Logic · 2018

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.

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