16 ideas
10001 | An adjective contributes semantically to a noun phrase [Hofweber] |
10007 | Quantifiers for domains and for inference come apart if there are no entities [Hofweber] |
13412 | Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf] |
13413 | We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf] |
10002 | '2 + 2 = 4' can be read as either singular or plural [Hofweber] |
9998 | What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber] |
13411 | If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf] |
13415 | An adequate account of a number must relate it to its series [Benacerraf] |
10003 | Why is arithmetic hard to learn, but then becomes easy? [Hofweber] |
10008 | Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber] |
10005 | Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber] |
10000 | We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber] |
10006 | First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber] |
19378 | Early modern possibility is what occurs sometime; for Leibniz, it is what is not contradictory [Arthur,R] |
10004 | Our minds are at their best when reasoning about objects [Hofweber] |
19380 | Occasionalism contradicts the Eucharist, which needs genuine changes of substance [Arthur,R] |