© 2020

Foundations of the Theory of Parthood

A Study of Mereology


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

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Andrzej Pietruszczak
    Pages 17-61
  3. Andrzej Pietruszczak
    Pages 63-151
  4. Andrzej Pietruszczak
    Pages 153-188
  5. Back Matter
    Pages 189-285

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


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

Authors and affiliations

  1. 1.Department of LogicNicolaus Copernicus UniversityToruńPoland

About the authors

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
  • Series Abbreviated Title Trends in Logic
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-36532-5
  • Softcover ISBN 978-3-030-36535-6
  • eBook ISBN 978-3-030-36533-2
  • 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
  • Buy this book on publisher's site