10 ideas
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
23026 | We know mathematical axioms, such as subtracting equals from equals leaves equals, by a natural light [Leibniz] |
10718 | A natural number is a property of sets [Maddy, by Oliver] |
8756 | Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro] |
17733 | We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins] |
13189 | A necessary feature (such as air for humans) is not therefore part of the essence [Leibniz] |
19432 | Intelligible truth is independent of any external things or experiences [Leibniz] |
18925 | If talking donkeys are possible, something exists which could be a talking donkey [Williamson, by Cameron] |
19430 | We know objects by perceptions, but their qualities don't reveal what it is we are perceiving [Leibniz] |
19431 | There is nothing in the understanding but experiences, plus the understanding itself, and the understander [Leibniz] |