25 ideas
9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
9984 | We can have a series with identical members [Tait] |
10429 | It is best to say that a name designates iff there is something for it to designate [Sainsbury] |
10425 | Definite descriptions may not be referring expressions, since they can fail to refer [Sainsbury] |
10438 | Definite descriptions are usually rigid in subject, but not in predicate, position [Sainsbury] |
13416 | Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C] |
8983 | If 'red' is vague, then membership of the set of red things is vague, so there is no set of red things [Sainsbury] |
8986 | We should abandon classifying by pigeon-holes, and classify around paradigms [Sainsbury] |
8982 | Vague concepts are concepts without boundaries [Sainsbury] |
8984 | If concepts are vague, people avoid boundaries, can't spot them, and don't want them [Sainsbury] |
8985 | Boundaryless concepts tend to come in pairs, such as child/adult, hot/cold [Sainsbury] |
9981 | Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait] |
9982 | Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait] |
9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
9972 | Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait] |
9980 | If abstraction produces power sets, their identity should imply identity of the originals [Tait] |
10432 | A new usage of a name could arise from a mistaken baptism of nothing [Sainsbury] |
10434 | Even a quantifier like 'someone' can be used referentially [Sainsbury] |
10431 | Things are thought to have a function, even when they can't perform them [Sainsbury] |
21275 | Unlike a stone, the parts of a watch are obviously assembled in order to show the time [Paley] |
21276 | From the obvious purpose and structure of a watch we must infer that it was designed [Paley] |
21277 | Even an imperfect machine can exhibit obvious design [Paley] |
21278 | All the signs of design found in a watch are also found in nature [Paley] |
21357 | No organ shows purpose more obviously than the eyelid [Paley] |