22 ideas
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] |
22180 | Multiple realisability is said to make reduction impossible [Okasha] |
22172 | Not all sciences are experimental; astronomy relies on careful observation [Okasha] |
22177 | Randomised Control Trials have a treatment and a control group, chosen at random [Okasha] |
22174 | The discoverers of Neptune didn't change their theory because of an anomaly [Okasha] |
22175 | Science mostly aims at confirming theories, rather than falsifying them [Okasha] |
22182 | Theories with unobservables are underdetermined by the evidence [Okasha] |
22185 | Two things can't be incompatible if they are incommensurable [Okasha] |
22176 | Induction is inferences from examined to unexamined instances of a given kind [Okasha] |
22178 | If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
22173 | Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |