35 ideas
| 22338 | An unexamined life can be virtuous [Murdoch] |
| 22337 | Philosophy must keep returning to the beginning [Murdoch] |
| 23563 | Philosophy moves continually between elaborate theories and the obvious facts [Murdoch] |
| 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] |
| 22341 | Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch] |
| 22347 | Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch] |
| 22339 | Love is a central concept in morals [Murdoch] |
| 22348 | Ordinary human love is good evidence of transcendent goodness [Murdoch] |
| 22343 | If I attend properly I will have no choices [Murdoch] |
| 22349 | Art trains us in the love of virtue [Murdoch] |
| 22340 | It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch] |
| 22350 | Only trivial virtues can be possessed on their own [Murdoch] |
| 22346 | Moral reflection and experience gradually reveals unity in the moral world [Murdoch] |
| 22342 | Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch] |
| 22351 | Only a philosopher might think choices create values [Murdoch] |
| 17371 | Some kinds are very explanatory, but others less so, and some not at all [Devitt] |
| 9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |
| 17372 | The higher categories are not natural kinds, so the Linnaean hierarchy should be given up [Devitt] |
| 17373 | Species pluralism says there are several good accounts of what a species is [Devitt] |
| 22345 | Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch] |