33 ideas
7460 | The great moments are the death of Aristotle, Machiavelli, and Romanticism [Berlin, by Watson] |
7662 | Romanticism is the greatest change in the consciousness of the West [Berlin] |
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] |
9921 | 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen] |
9924 | Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen] |
9933 | The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen] |
9928 | Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen] |
9926 | A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen] |
9932 | The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen] |
21444 | Modern geoemtry is either 'pure' (and formal), or 'applied' (and a posteriori) [Gardner] |
9923 | We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen] |
9925 | Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen] |
9934 | Number words became nouns around the time of Plato [Burgess/Rosen] |
21453 | Leibnizian monads qualify as Kantian noumena [Gardner] |
9918 | Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen] |
9929 | Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen] |
9927 | Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen] |
9930 | Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen] |
9919 | The old debate classified representations as abstract, not entities [Burgess/Rosen] |
7665 | Most Enlightenment thinkers believed that virtue consists ultimately in knowledge [Berlin] |
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] |
7676 | If we are essentially free wills, authenticity and sincerity are the highest virtues [Berlin] |
7664 | The Greeks have no notion of obligation or duty [Berlin] |
7677 | Central to existentialism is the romantic idea that there is nothing to lean on [Berlin] |
20544 | Berlin distinguishes 'negative' and 'positive' liberty, and rejects the latter [Berlin, by Swift] |
9922 | If space is really just a force-field, then it is a physical entity [Burgess/Rosen] |
7663 | Judaism and Christianity views are based on paternal, family and tribal relations [Berlin] |