Foundations of the Theory of Parthood

A Study of Mereology

  • Andrzej Pietruszczak

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

  • Andrzej Pietruszczak
    • 1
  1. 1.Department of LogicNicolaus Copernicus UniversityToruńPoland

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-36532-5
  • Online ISBN 978-3-030-36533-2
  • Series Print ISSN 1572-6126
  • Series Online ISSN 2212-7313
  • Buy this book on publisher's site