24 ideas
19342 | Reason avoids multiplying hypotheses or principles [Leibniz] |
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] |
12711 | The immediate cause of movements is more real [than geometry] [Leibniz] |
19349 | The complete notion of a substance implies all of its predicates or attributes [Leibniz] |
7558 | Substances mirror God or the universe, each from its own viewpoint [Leibniz] |
16761 | Forms are of no value in physics, but are indispensable in metaphysics [Leibniz] |
13088 | Subjects include predicates, so full understanding of subjects reveals all the predicates [Leibniz] |
13085 | Leibniz is some form of haecceitist [Leibniz, by Cover/O'Leary-Hawthorne] |
5024 | Knowledge doesn't just come from the senses; we know the self, substance, identity, being etc. [Leibniz] |
5027 | If a person's memories became totally those of the King of China, he would be the King of China [Leibniz] |
5023 | Future contingent events are certain, because God foresees them, but that doesn't make them necessary [Leibniz] |
2119 | People argue for God's free will, but it isn't needed if God acts in perfection following supreme reason [Leibniz] |
5025 | Mind and body can't influence one another, but God wouldn't intervene in the daily routine [Leibniz] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
5026 | Animals lack morality because they lack self-reflection [Leibniz] |