Authors:
- 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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Table of contents (4 chapters)
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Front Matter
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Back Matter
About this book
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
Keywords
- 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
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)
Authors and Affiliations
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Department of Logic, Nicolaus Copernicus University, Toruń, Poland
Andrzej Pietruszczak
About the author
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: https://doi.org/10.1007/978-3-030-36533-2
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