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Foundations of the Theory of Parthood

A Study of Mereology

  • Book
  • © 2020


  • Is the first book to systematically study the weak systems of mereology
  • Presents a critical analysis on topics related to mereology
  • Constructs systems of mereology with weak sum existence axioms
  • Discusses a non-standard system of mereology without the transitivity axiom

Part of the book series: Trends in Logic (TREN, volume 54)

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About this book

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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Table of contents (4 chapters)


“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)

Authors and Affiliations

  • Department of Logic, Nicolaus Copernicus University, Toruń, Poland

    Andrzej Pietruszczak

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.

Bibliographic Information

  • Book Title: Foundations of the Theory of Parthood

  • Book Subtitle: A Study of Mereology

  • Authors: Andrzej Pietruszczak

  • Series Title: Trends in Logic

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-36532-5Published: 22 February 2020

  • Softcover ISBN: 978-3-030-36535-6Published: 22 February 2021

  • eBook ISBN: 978-3-030-36533-2Published: 21 February 2020

  • Series ISSN: 1572-6126

  • Series E-ISSN: 2212-7313

  • Edition Number: 1

  • Number of Pages: XXIII, 285

  • Number of Illustrations: 725 b/w illustrations, 4 illustrations in colour

  • Topics: Analytic Philosophy, Logic, Algebra

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