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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 Lesniewski'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 czesci" by The Nicolaus Copernicus University Press
List of contents
Foreword.- Chapter I. Introduction.- Chapter II. "Existentially neutral" theories of parthood.- Chapter III. Theories of parthood with sum existence axioms.- Chapter IV. Theories of parthood without transitivity.- Appendix A. Logic and set theory.- Appendix B. Algebra.
About the author
Andrzej Pietruszczak obtained M.Sc. in mathematics at the University of ¿ód¿ in Poland. After graduation, he started working in the Department of Logic of Nicolaus Copernicus University in Torü, Poland, where he wrote his dissertation in logic and later habilitated and received full professorship on the basis of his work in mereology. He is employed in the department to this day. Andrzej Pietruszczak is an author of 4 books and 78 papers in mereology, modal logic, classical logic, logic of names, and point-free geometry and topology. Since 1993, he has been an editor-in-chief of Logic and Logical Philosophy.
Report
"Pietruszczak's new book covers all vital theories within mereology ... . A number of theories have been presented for the first time. It is especially worth mentioning that Andrzej Grzegorczyk's mereological theories have been analysed, elaborated and significantly improved by Pietruszczak." (Marcin Tkaczyk, Studia Logica, Vol. 109, 2021)
"Each chapter of the book is structured in a similar way and contains the basic definitions, facts and necessary discussion regarding the key notions, accompanied with new ideas and a wide reference list, followed by the author's clear and approachable style." (Branislav Boricic, zbMATH 1461.03003, 2021)
