TY  - BOOK
AU  - Yi,Byeong-uk
TI  - Understanding the Many
T2  - Studies in Philosophy Series
SN  - 9781136713859
AV  - QA248 .Y5 2014 
U1  - 511.3/22 
PY  - 2002///
CY  - Oxford
PB  - Taylor & Francis Group
KW  - Many-valued logic
KW  - Electronic books
N1  - 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 Variables -- 2.1.4.1 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 Members -- 5.2 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=1811027
ER  -