50 ideas
23948 | Wisdom needs both thought and passion, with each reflecting on the other [Solomon] |
23942 | Philosophy is creating an intellectual conceptual structure for life [Solomon] |
23945 | Reason is actually passions, guided by perspicacious reflection [Solomon] |
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] |
18151 | Could we replace sets by the open sentences that define them? [Chihara, by Bostock] |
9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
8758 | We could talk of open sentences, instead of sets [Chihara, by Shapiro] |
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] |
21554 | Sets always exceed terms, so all the sets must exceed all the sets [Lackey] |
21553 | It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey] |
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] |
10265 | Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro] |
8759 | We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro] |
10264 | Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro] |
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] |
23957 | We often trust our intuitions as rational, despite their lack of reflection [Solomon] |
23943 | Distinguishing reason from passion is based on an archaic 'faculty' theory [Solomon] |
23952 | I say bodily chemistry and its sensations have nothing to do with emotions [Solomon] |
23954 | Emotions are judgements about ourselves, and our place in the world [Solomon] |
23960 | Emotions are defined by their objects [Solomon] |
23961 | The heart of an emotion is its judgement of values and morality [Solomon] |
23965 | Emotions can be analysed under fifteen headings [Solomon] |
23959 | Some emotions are externally directed, others internally [Solomon] |
23936 | It is only our passions which give our lives meaning [Solomon] |
23963 | Which emotions we feel depends on our sense of our own powers [Solomon] |
23946 | The passions are subjective, concerning what is important to me, rather than facts [Solomon] |
23940 | Emotions are strategies for maximising our sense of dignity and self-esteem [Solomon] |
23949 | Passions exist as emotions, moods and desires, which all generate meaning [Solomon] |
23956 | The Myth of the Passions says they are irrational, uncontrolled and damaging [Solomon] |
23953 | Feeling is a superficial aspect of emotion, and may be indeterminate, or even absent [Solomon] |
23964 | There are no 'basic' emotions, only socially prevalent ones [Solomon] |
23937 | It is reason which needs the anchorage of passions, rather than vice versa [Solomon] |
23947 | Dividing ourselves into confrontational reason and passion destroys our harmonious whole [Solomon] |
23958 | The supposed irrationality of our emotions is often tactless or faulty expression of them [Solomon] |
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] |
23944 | Emotions are our life force, and the source of most of our values [Solomon] |
23962 | Lovers adopt the interests of their beloved, rather than just valuing them [Solomon] |
23941 | 'Absurdity' is just the result of our wrong choices in life [Solomon] |
23955 | Ideologies are mythologies which guide our actions [Solomon] |
9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |