31 ideas
9786 | Philosophers working like teams of scientists is absurd, yet isolation is hard [Cartwright,R] |
9784 | A false proposition isn't truer because it is part of a coherent system [Cartwright,R] |
13941 | Are the truth-bearers sentences, utterances, ideas, beliefs, judgements, propositions or statements? [Cartwright,R] |
13942 | Logicians take sentences to be truth-bearers for rigour, rather than for philosophical reasons [Cartwright,R] |
14240 | The empty set is something, not nothing! [Oliver/Smiley] |
14241 | We don't need the empty set to express non-existence, as there are other ways to do that [Oliver/Smiley] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley] |
14242 | Maybe we can treat the empty set symbol as just meaning an empty term [Oliver/Smiley] |
14243 | The unit set may be needed to express intersections that leave a single member [Oliver/Smiley] |
14234 | If you only refer to objects one at a time, you need sets in order to refer to a plurality [Oliver/Smiley] |
14237 | We can use plural language to refer to the set theory domain, to avoid calling it a 'set' [Oliver/Smiley] |
14245 | Logical truths are true no matter what exists - but predicate calculus insists that something exists [Oliver/Smiley] |
14246 | If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley] |
14247 | Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley] |
9783 | While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R] |
14962 | Bodies don't becomes scattered by losing small or minor parts [Cartwright,R] |
14961 | Clearly a pipe can survive being taken apart [Cartwright,R] |
13952 | Essentialism says some of a thing's properties are necessary, and could not be absent [Cartwright,R] |
13954 | The difficulty in essentialism is deciding the grounds for rating an attribute as essential [Cartwright,R] |
13955 | Essentialism is said to be unintelligible, because relative, if necessary truths are all analytic [Cartwright,R] |
13953 | An act of ostension doesn't seem to need a 'sort' of thing, even of a very broad kind [Cartwright,R] |
13945 | A token isn't a unique occurrence, as the case of a word or a number shows [Cartwright,R] |
13950 | People don't assert the meaning of the words they utter [Cartwright,R] |
13948 | For any statement, there is no one meaning which any sentence asserting it must have [Cartwright,R] |
13944 | We can pull apart assertion from utterance, and the action, the event and the subject-matter for each [Cartwright,R] |
13947 | 'It's raining' makes a different assertion on different occasions, but its meaning remains the same [Cartwright,R] |
13943 | We can attribute 'true' and 'false' to whatever it was that was said [Cartwright,R] |
13946 | To assert that p, it is neither necessary nor sufficient to utter some particular words [Cartwright,R] |
13951 | Assertions, unlike sentence meanings, can be accurate, probable, exaggerated, false.... [Cartwright,R] |
16713 | Philosophers are the forefathers of heretics [Tertullian] |
6610 | I believe because it is absurd [Tertullian] |