29 ideas
| 10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
| 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] |
| 17518 | Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers] |
| 17516 | If counting needs a sortal, what of things which fall under two sortals? [Ayers] |
| 10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
| 10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
| 17520 | Events do not have natural boundaries, and we have to set them [Ayers] |
| 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] |
| 17519 | To express borderline cases of objects, you need the concept of an 'object' [Ayers] |
| 17510 | Speakers need the very general category of a thing, if they are to think about it [Ayers] |
| 17522 | We use sortals to classify physical objects by the nature and origin of their unity [Ayers] |
| 17515 | Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers] |
| 17511 | Recognising continuity is separate from sortals, and must precede their use [Ayers] |
| 17517 | Could the same matter have more than one form or principle of unity? [Ayers] |
| 17513 | If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers] |
| 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] |
| 17523 | Sortals basically apply to individuals [Ayers] |
| 17521 | You can't have the concept of a 'stage' if you lack the concept of an object [Ayers] |
| 17514 | Temporal 'parts' cannot be separated or rearranged [Ayers] |
| 17509 | Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers] |
| 17512 | If diachronic identities need covering concepts, why not synchronic identities too? [Ayers] |
| 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] |