Leśniewskian Ontology with Many-argument Predication

History and Philosophy of Logic 44 (3):327-336 (2023)
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Abstract

ABSTRACT Leśniewskian Ontology (LO) is a system in which the basic subject-predicate formula takes the form of a b and express one-argument predication, e.g. John is a student. In LO’s language, there is no many-argument form of predication given that would allow for the structural expression of, for example, the sentence John is Anne’s son. In this article, a simple and natural extension of LO is suggested to encompass many-argument predication. The system thus obtained corresponds to polyadic second-order logic.

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10.1080/01445340.2022.2137334

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On Understanding Leśniewski.Peter M. Simons - 1982 - History and Philosophy of Logic 3 (2):165-191.
Stanisław leśniewski.Peter Simons - 2008 - Stanford Encyclopedia of Philosophy.
Introduction to model theory for Leśniewski's ontology.Zbigniew Stachniak - 1981 - Wrocław: Wydawnictwo Uniwersytetu Wrocłaskiego.

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