42 ideas
23948 | Wisdom needs both thought and passion, with each reflecting on the other [Solomon] |
17949 | Inquiry is the cause of philosophy [Aristotle] |
23942 | Philosophy is creating an intellectual conceptual structure for life [Solomon] |
23945 | Reason is actually passions, guided by perspicacious reflection [Solomon] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
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] |
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] |