Foundations of the Theory of Parthood: A Study of Mereology

by Andrzej Pietruszczak

Overview

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

Product Details

ISBN-13:	9783030365325
Publisher:	Springer International Publishing
Publication date:	02/22/2020
Series:	Trends in Logic , #54
Edition description:	1st ed. 2020
Pages:	285
Product dimensions:	6.10(w) x 9.25(h) x (d)

About the Author

Andrzej Pietruszczak obtained M.Sc. in mathematics at the University of Łódź in Poland. After graduation, he started working in the Department of Logic of Nicolaus Copernicus University in Toruń, 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.

Table 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.

Editorial Reviews

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 Boričić, zbMATH 1461.03003, 2021)

From the Publisher