### Ideas from 'Number Determiners, Numbers, Arithmetic' by Thomas Hofweber , by Theme Structure

#### [found in 'Philosophical Review 114' (ed/tr -) [Phil Review 2005,]].

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###### 5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
 10001 An adjective contributes semantically to a noun phrase
###### 5. Theory of Logic / G. Quantification / 2. Domain of Quantification
 10007 Quantifiers for domains and for inference come apart if there are no entities
###### 6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
 9998 What is the relation of number words as singular-terms, adjectives/determiners, and symbols?
 10002 '2 + 2 = 4' can be read as either singular or plural
###### 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
 10003 Why is arithmetic hard to learn, but then becomes easy?
###### 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
 10008 Arithmetic is not about a domain of entities, as the quantifiers are purely inferential
###### 6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
 10005 Arithmetic doesn’t simply depend on objects, since it is true of fictional objects
###### 6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
 10000 We might eliminate adjectival numbers by analysing them into blocks of quantifiers
###### 6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
 10006 First-order logic captures the inferential relations of numbers, but not the semantics
###### 15. Nature of Minds / C. Capacities of Minds / 4. Objectification
 10004 Our minds are at their best when reasoning about objects