13 ideas
21959 | Metaphysics is the most general attempt to make sense of things [Moore,AW] |
10631 | If 'x is heterological' iff it does not apply to itself, then 'heterological' is heterological if it isn't heterological [Hale/Wright] |
17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
10624 | The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright] |
10629 | If structures are relative, this undermines truth-value and objectivity [Hale/Wright] |
10628 | The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright] |
10622 | The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright] |
10626 | Objects just are what singular terms refer to [Hale/Wright] |
21958 | Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW] |
10630 | Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright] |
10627 | Many conceptual truths ('yellow is extended') are not analytic, as derived from logic and definitions [Hale/Wright] |
17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |