10 ideas
13655 | The Löwenheim-Skolem theorems show that whether all sets are constructible is indeterminate [Putnam, by Shapiro] |
9915 | V = L just says all sets are constructible [Putnam] |
9913 | The Löwenheim-Skolem Theorem is close to an antinomy in philosophy of language [Putnam] |
9914 | It is unfashionable, but most mathematical intuitions come from nature [Putnam] |
14596 | Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr] |
14597 | Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr] |
14598 | Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr] |
14365 | Scientific understanding is always the grasping of a correct explanation [Strevens] |
14368 | We may 'understand that' the cat is on the mat, but not at all 'understand why' it is there [Strevens] |
14369 | Understanding is a precondition, comes in degrees, is active, and holistic - unlike explanation [Strevens] |