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Foundations of the Theory of Parthood

A Study of Mereology

Andrzej Pietruszczak

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Springer International Publishing img Link Publisher

Geisteswissenschaften, Kunst, Musik / 20. und 21. Jahrhundert

Beschreibung

This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without antisymmetry, non-existence of the zero element, and Leśniewski's notion of class and set.
 
The book also delves into three theories of parthood: two concern the sum existence axioms, and the third contends with transitivity of parthood. 
 
This is the first systematic analysis of systems of mereology of its kind and is suitable for students, scholars, logicians, and mathematicians who wish to further their knowledge of mereology.

Original polish publication “Podstawy teorii części” by The Nicolaus Copernicus University Press

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Schlagwörter

Leśniewski mereology, Weak Systems of Mereology, mereological fusion, Lesniewski mereology, Supplementation principles in mereology, mereological sum, Existentially neutral theories of parthood, Transitivity of Parthood, Mereology, Grzegorczyk lattices, Bounded axioms of mereological sum, Foundations of Mereology, Mereological Sum Existence Axioms, Mereology and Boolean algebras, Non-transitive theories of parthood, Grzegorczyk mereology