UID:
almafu_9959237629402883
Format:
1 online resource (141 p.)
Edition:
1st ed.
ISBN:
1-136-71392-1
,
0-415-86688-X
,
1-315-02385-7
,
1-136-71385-9
Series Statement:
Studies in philosophy
Content:
First Published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.
Note:
First issued in paperback 2014.
,
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?
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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
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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
,
English
Additional Edition:
ISBN 0-415-93864-3
Additional Edition:
ISBN 1-322-17830-5
Language:
English
Keywords:
Electronic books.
DOI:
10.4324/9781315023854
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