Mereology / A. J. Cotnoir, Achille C. Varzi.

Format:

Book

Author/Creator:

Cotnoir, A. J., author.

Varzi, Achille C., author.

Series:

Oxford scholarship online.

Oxford scholarship online

Language:

English

Subjects (All):

Whole and parts (Philosophy).

Metaphysics.

Physical Description:

1 online resource (424 pages) : illustrations (black and white).

Edition:

First edition.

Place of Publication:

Oxford, United Kingdom : Oxford University Press, 2021.

Summary:

Aaron Cotnoir and Achille Varzi present a comprehensive and up-to-date guide to mereology, the study of relations between parts and wholes. They introduce a variety of theories and offer all the tools needed to engage in this ever-evolving field of inquiry, for readers at all levels, from newcomers to experts.

Contents:

Cover

Mereology

Copyright

Dedication

Contents

Preface

List of Figures

1 What is Mereology?

1.1 A Bit of History

1.2 Contemporary Perspectives

1.2.1 Mereology as Formal Ontology

1.2.2 Mereology as an Alternative to Set Theory

1.3 `Part' and Parthood

1.4 Parts and Wholes

1.5 The Formal Setting

2 Classical Mereology

2.1 A Perspicuous Axiom System

2.1.1 A Partial Order

2.1.2 Decomposition

2.1.3 Composition

2.2 Algebraic Models

2.2.1 Boolean Algebras

2.2.2 Complete Boolean Algebras are Models

2.2.3 Models are Complete Boolean Algebras

2.3 Set-theoretic Models

2.3.1 Finite Models

2.3.2 Infinite Models

2.4 Other Axiom Systems

2.4.1 Proper Parthood as Primitive

2.4.2 Overlap or Disjointness as Primitive

2.4.3 More Parthood Axiomatizations

2.4.4 Further Options

2.4.5 Primitivity in Mereology

3 Ordering

3.1 Reflexivity and Irreflexivity

3.1.1 Concrete Self-parts

3.1.2 Abstract Self-parts

3.2 Antisymmetry and Asymmetry

3.2.1 Loops

3.2.2 Irregular Parts

3.2.3 Mutual Parts and Extensionality

3.3 Transitivity

3.3.1 Distinguished Parts

3.3.2 Immediate Parts

3.3.3 Parts of Parts

3.3.4 Local Transitivity and Beyond

4 Decomposition

4.1 Complementation

4.1.1 Remainders

4.1.2 Boolean Complements

4.1.3 Complementation and Composition

4.2 Strong Supplementation

4.2.1 Supervenience

4.2.2 Strong Supplementation and Extensionality

4.3 Weak Supplementation

4.3.1 Solitary Parts

4.3.2 Weak Supplementation and Extensionality

4.3.3 Strictly Weak Supplementation

4.4 Even Weaker Supplementation

4.5 Null Objects

4.6 Atoms and Gunk

4.6.1 Atomism

4.6.2 Atomlessness

4.6.3 Hybrid Theories

5 Composition

5.1 Fusions

5.1.1 Types of Fusion

5.1.2 Comparisons

5.2 Existence and Identity.

5.2.1 Existence

5.2.2 Uniqueness

5.2.3 Composition as Identity

5.3 Structured Composites

5.3.1 Levels

5.3.2 Order

5.3.3 Repetition

5.3.4 Compositional Pluralism

5.4 The Universe

5.4.1 A Russell Paradox?

5.4.2 Super-Universal Wholes

5.5 Coatoms and Junk

6 Logic

6.1 Expressive Power

6.1.1 Second-Order Mereology

6.1.2 Plural Quantification and Megethology

6.2 Time and Modality

6.2.1 Temporal and Modal Parts

6.2.2 More Arguments for Parthood

6.2.3 Modal Mereology

6.3 Indeterminacy

6.3.1 De Dicto and De Re

6.3.2 Ontic Indeterminacy

6.3.3 Fuzzy Mereology

6.3.4 Overdeterminacy and Paraconsistency

6.4 Non-classical Logics and Non-classical Mereologies

Bibliography

Index

Names

Subjects

Featured Formulas

Symbols

List of Featured Formulas.

Notes:

This edition also issued in print: 2021.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

9780191811647

0191811645

9780191065835

0191065838

OCLC:

1260345831