On Tarski’s Axiomatization of Mereology

Studia Logica 107 (6):1089-1102 (2019)
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Abstract

It is shown how Tarski’s 1929 axiomatization of mereology secures the reflexivity of the ‘part of’ relation. This is done with a fusion-abstraction principle that is constructively weaker than that of Tarski; and by means of constructive and relevant reasoning throughout. We place a premium on complete formal rigor of proof. Every step of reasoning is an application of a primitive rule; and the natural deductions themselves can be checked effectively for formal correctness.

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Neil Tennant
Ohio State University

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References found in this work

Parts : a Study in Ontology.Peter Simons - 1987 - Revue de Métaphysique et de Morale 2:277-279.
Parts: A Study in Ontology.Dale Jacquette - 1990 - Philosophy of Science 57 (3):540-542.
What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
A general theory of abstraction operators.Neil Tennant - 2004 - Philosophical Quarterly 54 (214):105-133.

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