33 ideas
13838 | A decent modern definition should always imply a semantics [Hacking] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
9358 | There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI] |
13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
9357 | Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI] |
13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
9364 | Names represent a uniformity in experience, or they name nothing [Lewis,CI] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
9362 | Necessary truths are those we will maintain no matter what [Lewis,CI] |
9365 | We can maintain a priori principles come what may, but we can also change them [Lewis,CI] |
9361 | We have to separate the mathematical from physical phenomena by abstraction [Lewis,CI] |
12157 | Kant gave form and status to aesthetics, and Hegel gave it content [Kant, by Scruton] |
20346 | The aesthetic attitude is a matter of disinterestedness [Kant, by Wollheim] |
18547 | Only rational beings can experience beauty [Kant, by Scruton] |
24172 | It is hard to see why we would have developed Kant's 'disinterested' aesthetic attitude [Cochrane on Kant] |
20408 | With respect to the senses, taste is an entirely personal matter [Kant] |
20409 | When we judge beauty, it isn't just personal; we judge on behalf of everybody [Kant] |
20411 | Saying everyone has their own taste destroys the very idea of taste [Kant] |
24170 | Kant thinks beauty ignores its objects, because it is only 'form' engaging with mind [Cochrane on Kant] |
22711 | The beautiful is not conceptualised as moral, but it symbolises or resembles goodness [Kant, by Murdoch] |
4025 | Kant saw beauty as a sort of disinterested pleasure, which has become separate from the good [Kant, by Taylor,C] |
20412 | Beauty is only judged in pure contemplation, and not with something else at stake [Kant] |
22046 | The mathematical sublime is immeasurable greatness; the dynamical sublime is overpowering [Kant, by Pinkard] |
21458 | The sublime is a moral experience [Kant, by Gardner] |
5643 | Aesthetic values are not objectively valid, but we must treat them as if they are [Kant, by Scruton] |
20410 | The judgement of beauty is not cognitive, but relates, via imagination, to pleasurable feelings [Kant] |
9363 | Science seeks classification which will discover laws, essences, and predictions [Lewis,CI] |