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Ideas of Thomas Hofweber, by Text

[German, fl. 2004, MA at Munich, PhD at Stanford. Professor at University of N.Carolina at Chapel Hill.]

2005 Number Determiners, Numbers, Arithmetic
§1 p.180 What is the relation of number words as singular-terms, adjectives/determiners, and symbols?
§2 p.183 We might eliminate adjectival numbers by analysing them into blocks of quantifiers
§3.1 p.187 An adjective contributes semantically to a noun phrase
§4.1 p.194 '2 + 2 = 4' can be read as either singular or plural
§4.2 p.198 Why is arithmetic hard to learn, but then becomes easy?
§4.3 p.199 Our minds are at their best when reasoning about objects
§6.2 p.215 Arithmetic doesn’t simply depend on objects, since it is true of fictional objects
§6.3 p.217 First-order logic captures the inferential relations of numbers, but not the semantics
§6.3 p.218 Quantifiers for domains and for inference come apart if there are no entities
§6.3 p.219 Arithmetic is not about a domain of entities, as the quantifiers are purely inferential
2006 Inexpressible Properties and Propositions
2.1 p.163 Quantification can't all be substitutional; some reference is obviously to objects
2.2 p.169 Since properties have properties, there can be a typed or a type-free theory of them
5.3 p.195 Instances of minimal truth miss out propositions inexpressible in current English
6.4 p.203 Holism says says language can't be translated; the expressibility hypothesis says everything can
2009 Ambitious, yet modest, Metaphysics
1.1 p.261 Science has discovered properties of things, so there are properties - so who needs metaphysics?
2 p.273 Esoteric metaphysics aims to be top science, investigating ultimate reality
2 p.274 The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc)