Understanding the Many (Hardcover)

Contents:
Introduction
1. Plural Quantifications
1. Singular Versus Plural Quantifications
2. Implication
3. Paraphrase
2. The Logic of Plurals
1. Language
2. Logic
Appx: Partial Axiomatization of the Logic of Plurals
3. Is Two a Property?
1. Why Property Two?
2. A Theory of Plural Properties
3. Two As an Intrinsic Plural Property
4. Concluding Remarks
4. What Numbers Should Be
1. Are Numbers Objects?
2. Plural Properties As Components of Numerical Facts
3. Analysis of Numerical Facts
4. Numbers Are Properties
5. How Sets Are Determined by Their Members
1. The Hierarchy of Sets and the Determination of Sets by Their Members
2. Reference to Set-like Objects
Plural Reference to Mundane Objects
3. Exclusive Reference to Mundane Objects
4. Concluding Remarks
References
Index