15 ideas
21463 | Hamann, Herder and Jacobi were key opponents of the Enlightenment [Gardner] |
21459 | Kant halted rationalism, and forced empiricists to worry about foundations [Gardner] |
21460 | Only Kant and Hegel have united nature, morals, politics, aesthetics and religion [Gardner] |
21443 | Transcendental proofs derive necessities from possibilities (e.g. possibility of experiencing objects) [Gardner] |
17833 | The first-order ZF axiomatisation is highly non-categorical [Hallett,M] |
17834 | Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M] |
17837 | Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M] |
21444 | Modern geoemtry is either 'pure' (and formal), or 'applied' (and a posteriori) [Gardner] |
17836 | The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M] |
21453 | Leibnizian monads qualify as Kantian noumena [Gardner] |
8108 | Aesthetics presupposes a distinctive sort of experience, and a unified essence for art [Gardner] |
8112 | Art works originate in the artist's mind, and appreciation is re-creating this mental object [Gardner] |
8111 | Aesthetic objectivists must explain pleasure being essential, but not in the object [Gardner] |
8109 | Aesthetic judgements necessarily require first-hand experience, unlike moral judgements [Gardner] |
1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |