29 ideas
| 18543 | Do aesthetic reasons count as reasons, if they are rejectable without contradiction? [Scruton] |
| 18542 | Defining truth presupposes that there can be a true definition [Scruton] |
| 9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
| 9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
| 9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
| 9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
| 9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
| 9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
| 9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
| 9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
| 9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
| 9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
| 9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
| 10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
| 9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
| 9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
| 9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
| 9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
| 19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
| 18546 | The pleasure taken in beauty also aims at understanding and valuing [Scruton] |
| 18550 | Art gives us imaginary worlds which we can view impartially [Scruton] |
| 18544 | Maybe 'beauty' is too loaded, and we should talk of fittingness or harmony [Scruton] |
| 18553 | Beauty shows us what we should want in order to achieve human fulfilment [Scruton] |
| 18556 | Beauty is rationally founded, inviting meaning, comparison and self-reflection [Scruton] |
| 18548 | Natural beauty reassures us that the world is where we belong [Scruton] |
| 18551 | Croce says art makes inarticulate intuitions conscious; rival views say the audience is the main concern [Scruton] |
| 18541 | Beauty (unlike truth and goodness) is questionable as an ultimate value [Scruton] |
| 18554 | Prostitution is wrong because it hardens the soul, since soul and body are one [Scruton] |
| 9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |