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On Tarski’s Axiomatization of Mereology

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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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Authors and Affiliations

  1. Department of Philosophy, Ohio State University, Columbus, OH, 43210, USA

    Neil Tennant

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  1. Neil Tennant
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Correspondence to Neil Tennant.

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Presented by Heinrich Wansing

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Tennant, N. On Tarski’s Axiomatization of Mereology. Stud Logica 107, 1089–1102 (2019). https://doi.org/10.1007/s11225-018-9819-3

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  • DOI: https://doi.org/10.1007/s11225-018-9819-3

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