41 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] |
| 8623 | Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege] |
| 13907 | If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon] |
| 6297 | Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik] |
| 9603 | An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR] |
| 9894 | A unit is that according to which each existing thing is said to be one [Euclid] |
| 8738 | Postulate 2 says a line can be extended continuously [Euclid, by Shapiro] |
| 22278 | Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid] |
| 8673 | Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend] |
| 10250 | Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid] |
| 10302 | Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays] |
| 14157 | Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid] |
| 1600 | Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik] |
| 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] |
| 22331 | Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock] |
| 22484 | Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot] |
| 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] |
| 6449 | The categorical imperative leads to utilitarianism [Hare, by Nagel] |
| 23941 | 'Absurdity' is just the result of our wrong choices in life [Solomon] |
| 23955 | Ideologies are mythologies which guide our actions [Solomon] |