2005 | Number Determiners, Numbers, Arithmetic |
§1 | p.180 | 9998 | What is the relation of number words as singular-terms, adjectives/determiners, and symbols? |
§2 | p.183 | 10000 | We might eliminate adjectival numbers by analysing them into blocks of quantifiers |
§3.1 | p.187 | 10001 | An adjective contributes semantically to a noun phrase |
§4.1 | p.194 | 10002 | '2 + 2 = 4' can be read as either singular or plural |
§4.2 | p.198 | 10003 | Why is arithmetic hard to learn, but then becomes easy? |
§4.3 | p.199 | 10004 | Our minds are at their best when reasoning about objects |
§6.2 | p.215 | 10005 | Arithmetic doesn’t simply depend on objects, since it is true of fictional objects |
§6.3 | p.217 | 10006 | First-order logic captures the inferential relations of numbers, but not the semantics |
§6.3 | p.218 | 10007 | Quantifiers for domains and for inference come apart if there are no entities |
§6.3 | p.219 | 10008 | Arithmetic is not about a domain of entities, as the quantifiers are purely inferential |
2006 | Inexpressible Properties and Propositions |
2.1 | p.163 | 17988 | Quantification can't all be substitutional; some reference is obviously to objects |
2.2 | p.169 | 17989 | Since properties have properties, there can be a typed or a type-free theory of them |
5.3 | p.195 | 17990 | Instances of minimal truth miss out propositions inexpressible in current English |
6.4 | p.203 | 17991 | Holism says language can't be translated; the expressibility hypothesis says everything can |
2009 | Ambitious, yet modest, Metaphysics |
1.1 | p.261 | 16413 | Science has discovered properties of things, so there are properties - so who needs metaphysics? |
2 | p.273 | 16415 | Esoteric metaphysics aims to be top science, investigating ultimate reality |
2 | p.274 | 16416 | The quantifier in logic is not like the ordinary English one (which has empty names, non-denoting terms etc) |