22 ideas
12772 | Philosophy is a value- and attitude-driven enterprise [Fraassen] |
12771 | Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen] |
12773 | Analytic philosophy has an exceptional arsenal of critical tools [Fraassen] |
12770 | We may end up with a huge theory of carefully constructed falsehoods [Fraassen] |
14239 | The empty set is usually derived from Separation, but it also seems to need Infinity [Oliver/Smiley] |
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] |
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] |
14919 | Empiricists deny what is unobservable, and reject objective modality [Fraassen] |
6783 | To 'accept' a theory is not to believe it, but to believe it empirically adequate [Fraassen, by Bird] |
14917 | To accept a scientific theory, we only need to believe that it is empirically adequate [Fraassen] |
6784 | Why should the true explanation be one of the few we have actually thought of? [Fraassen, by Bird] |
12769 | Inference to best explanation contains all sorts of hidden values [Fraassen] |
13066 | An explanation is just descriptive information answering a particular question [Fraassen, by Salmon] |
12768 | We accept many scientific theories without endorsing them as true [Fraassen] |
23217 | All of our happiness and misery arises entirely from the brain [Hippocrates] |