Understanding the many / Byeong-uk Yi.

Format:

Book

Author/Creator:

Yi, Byeonguk, 1959- author.

Series:

Studies in philosophy (New York, N.Y.)

Studies in philosophy

Language:

English

Subjects (All):

Set theory--Philosophy.

Set theory.

Pluralism.

Physical Description:

1 online resource (141 p.)

Edition:

1st ed.

Place of Publication:

New York : Routledge, 2002.

Language Note:

English

Summary:

First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Contents:

Cover; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; Introduction; 1. Plural Quantifications; 1.1 Singular Versus Plural Quantifications; 1.2 Implication; 1.2.1 The Implication Argument; 1.2.2 On the Three Theses on Implications; 1.2.3 Implication Versus Metaphysical Necessity; 1.3 Paraphrase; 2. The Logic of Plurals; 2.1 Language; 2.1.1 Elementary Notation; 2.1.2 The Term Connective ""and""; 2.1.3 Predicates; 2.1.3.1 Singular, Plural, and Neutral Predicates; 2.1.3.2 Neutral Expansions and Singular Reducts; 2.1.3.3 Logical Predicates

2.1.4 Quantifiers and Variables2.1.4.1 Singular and Plural Quantifiers; 2.1.4.2 Paraphrasing Plural Quantifiers; 2.1.4.3 Singularizable Plural Quantifications; 2.1.5 The Canonical Notation for the Logic of Plurals; 2.1.5.1 Terms; 2.1.5.2 Predicates and Simple Sentences; 2.1.5.3. Quantifiers and Complex Sentences; 2.2 Logic; 2.2.1 The Logic of Plurals: Partial Axiomatization; 2.2.1.1 System A; 2.2.1.2 System B; 2.2.1.3 System C; 2.2.1.4 System D; 2.2.2 The Logic of Plurals: Model Theory; Appendix: Partial Axiomatization of the Logic of Plurals; 3. Is Two a Property?; 3.1 Why Property Two?

3.1.1 What Is It to Be a Property?3.1.2 Irregularities of Numerical Facts; 3.1.3 Why Not the Set Analysis?; 3.2 A Theory of Plural Properties; 3.2.1 The Predicative Part; 3.2.2 The Subject Part; 3.2.3 Instantiation; 3.2.4 Various Kinds of Plural Properties; 3.3 Two As an Intrinsic Plural Property; 3.4 Concluding Remarks; 4. What Numbers Should Be; 4.1 Are Numbers Objects?; 4.2 Plural Properties As Components of Numerical Facts; 4.3 Analysis of Numerical Facts; 4.4 Numbers Are Properties; 5. How Sets Are Determined by Their Members

5.1 The Hierarchy of Sets and the Determination of Sets by Their Members5.2 Reference to Set-like Objects; 5.3 Plural Reference to Mundane Objects; 5.4 Exclusive Reference to Mundane Objects; 5.5 Concluding Remarks; Bibliography; Index

Notes:

First issued in paperback 2014.

Includes bibliographical references (pages 105-113) and index.

Description based on print version record.

ISBN:

1-136-71392-1

0-415-86688-X

1-315-02385-7

1-136-71385-9

9781315023854

OCLC:

892799279