12 ideas
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
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] |
12432 | Explanation of necessity must rest on something necessary or something contingent [Hale] |
12434 | Why is this necessary, and what is necessity in general; why is this necessary truth true, and why necessary? [Hale] |
12435 | The explanation of a necessity can be by a truth (which may only happen to be a necessary truth) [Hale] |
12433 | If necessity rests on linguistic conventions, those are contingent, so there is no necessity [Hale] |
12436 | Concept-identities explain how we know necessities, not why they are necessary [Hale] |