59 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] |
18074 | Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher] |
6298 | Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik] |
12392 | Mathematical a priorism is conceptualist, constructivist or realist [Kitcher] |
18078 | The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher] |
12426 | The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher] |
12395 | Real numbers stand to measurement as natural numbers stand to counting [Kitcher] |
12425 | Complex numbers were only accepted when a geometrical model for them was found [Kitcher] |
18071 | A one-operation is the segregation of a single object [Kitcher] |
18066 | The old view is that mathematics is useful in the world because it describes the world [Kitcher] |
18083 | With infinitesimals, you divide by the time, then set the time to zero [Kitcher] |
18061 | Mathematical intuition is not the type platonism needs [Kitcher] |
12420 | If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher] |
12393 | Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher] |
12387 | Mathematical knowledge arises from basic perception [Kitcher] |
12412 | My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher] |
18065 | We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher] |
18077 | The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher] |
12423 | Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher] |
18069 | Arithmetic is an idealizing theory [Kitcher] |
18068 | Arithmetic is made true by the world, but is also made true by our constructions [Kitcher] |
18070 | We develop a language for correlations, and use it to perform higher level operations [Kitcher] |
18072 | Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher] |
18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
18067 | Abstract objects were a bad way of explaining the structure in mathematics [Kitcher] |
12390 | A priori knowledge comes from available a priori warrants that produce truth [Kitcher] |
12418 | In long mathematical proofs we can't remember the original a priori basis [Kitcher] |
12389 | Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher] |
12416 | We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher] |
23957 | We often trust our intuitions as rational, despite their lack of reflection [Solomon] |
12413 | A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher] |
20473 | If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo] |
23943 | Distinguishing reason from passion is based on an archaic 'faculty' theory [Solomon] |
18075 | Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher] |
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] |
17593 | Always be ready to give reasons for your beliefs [Peter] |