23 ideas
22864 | Philosophy is the study and criticsm of cultural beliefs, to achieve new possibilities [Dewey] |
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
22873 | Liberalism should improve the system, and not just ameliorate it [Dewey] |
18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
18751 | Natural language includes connectives like 'because' which are not truth-functional [McGee] |
18761 | Second-order variables need to range over more than collections of first-order objects [McGee] |
18753 | An ontologically secure semantics for predicate calculus relies on sets [McGee] |
18754 | Logically valid sentences are analytic truths which are just true because of their logical words [McGee] |
18757 | Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
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] |
22869 | Knowledge is either the product of competent enquiry, or it is meaningless [Dewey] |
22867 | The quest for certainty aims for peace, and avoidance of the stress of action [Dewey] |
22870 | No belief can be so settled that it is not subject to further inquiry [Dewey] |
22866 | Mind is never isolated, but only exists in its interactions [Dewey] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |
22872 | Liberals aim to allow individuals to realise their capacities [Dewey] |
22880 | The things in civilisation we prize are the products of other members of our community [Dewey] |
22879 | 'God' is an imaginative unity of ideal values [Dewey] |
22877 | We should try attaching the intensity of religious devotion to intelligent social action [Dewey] |
22878 | Religions are so shockingly diverse that they have no common element [Dewey] |