27 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] |
22076 | Being is only perceptible to itself as becoming [Schelling] |
22072 | Schelling always affirmed the absolute status of freedom [Schelling, by Courtine] |
21925 | For Schelling the Absolute spirit manifests as nature in which self-consciousness evolves [Schelling, by Lewis,PB] |
22045 | Metaphysics aims at the Absolute, which goes beyond subjective and objective viewpoints [Schelling, by Pinkard] |
22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
411 | If we succeed in speaking the truth, we cannot know we have done it [Xenophanes] |
412 | If God had not created honey, men would say figs are sweeter [Xenophanes] |
22073 | The basis of philosophy is the Self prior to experience, where it is the essence of freedom [Schelling] |
22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
20956 | Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling] |
20957 | We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling] |
22057 | Schelling sought a union between the productivities of nature and of the mind [Schelling, by Bowie] |
22031 | Schelling made organisms central to nature, because mere mechanism could never produce them [Schelling, by Pinkard] |
1640 | The basic Eleatic belief was that all things are one [Xenophanes, by Plato] |
3055 | Xenophanes said the essence of God was spherical and utterly inhuman [Xenophanes, by Diog. Laertius] |
408 | Ethiopian gods have black hair, and Thracian gods have red hair [Xenophanes] |
407 | Mortals believe gods are born, and have voices and clothes just like mortals [Xenophanes] |