20 ideas
19441 | All philosophies presuppose their historical moment, and arise from it [Feuerbach] |
19442 | I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach] |
19444 | Each proposition has an antithesis, and truth exists as its refutation [Feuerbach] |
19445 | A dialectician has to be his own opponent [Feuerbach] |
19443 | Truth forges an impersonal unity between people [Feuerbach] |
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
11064 | Classes can be reduced to propositional functions [Russell, by Hanna] |
6407 | The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling] |
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] |
10418 | Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell] |
10047 | Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave] |
23478 | Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell] |
21718 | Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B] |
18126 | A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock] |
18128 | Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock] |
18124 | Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock] |
19446 | To our consciousness it is language which looks unreal [Feuerbach] |
19447 | The Absolute is the 'and' which unites 'spirit and nature' [Feuerbach] |