63 ideas
23966 | The personal view can still be objective, so I call sciences 'impersonal', rather than objective [Goldie] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
17611 | We want the essence of continuity, by showing its origin in arithmetic [Dedekind] |
10572 | A cut between rational numbers creates and defines an irrational number [Dedekind] |
14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
18244 | I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
17612 | Arithmetic is just the consequence of counting, which is the successor operation [Dedekind] |
9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
18087 | If x changes by less and less, it must approach a limit [Dedekind] |
13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
24005 | We know other's emotions by explanation, contagion, empathy, imagination, or sympathy [Goldie] |
24006 | Empathy and imagining don't ensure sympathy, and sympathy doesn't need them [Goldie] |
23978 | 'Having an emotion' differs from 'being emotional' [Goldie] |
23973 | Unlike moods, emotions have specific objects, though the difference is a matter of degree [Goldie] |
23974 | Emotional intentionality as belief and desire misses out the necessity of feelings [Goldie] |
23972 | A long lasting and evolving emotion is still seen as a single emotion, such as love [Goldie] |
23992 | Some Aborigines have fifteen different words for types of fear [Goldie] |
23979 | Emotional responses can reveal to us our values, which might otherwise remain hidden [Goldie] |
23976 | If we have a 'feeling towards' an object, that gives the recognition a different content [Goldie] |
23977 | When actions are performed 'out of' emotion, they appear to be quite different [Goldie] |
23980 | It is best to see emotions holistically, as embedded in a person's life narrative [Goldie] |
23982 | If emotions are 'towards' things, they can't be bodily feelings, which lack aboutness [Goldie] |
24001 | Moods can focus as emotions, and emotions can blur into moods [Goldie] |
23968 | If reasons are seen impersonally (as just causal), then feelings are an irrelevant extra [Goldie] |
23969 | We have feelings of which we are hardly aware towards things in the world [Goldie] |
23984 | An emotion needs episodes of feeling, but not continuously [Goldie] |
23970 | Emotions are not avocado pears, with a rigid core and changeable surface [Goldie] |
23985 | A basic emotion is the foundation of a hierarchy, such as anger for types of annoyance [Goldie] |
23986 | Early Chinese basic emotions: joy, anger, sadness, fear, love, disliking, and liking [Goldie] |
23991 | Cross-cultural studies of facial expressions suggests seven basic emotions [Goldie] |
23967 | Some emotions are direct responses, and neither rational nor irrational [Goldie] |
23971 | Emotional thought is not rational, but it can be intelligible [Goldie] |
23975 | Learning an evaluative property like 'dangerous' is also learning an emotion [Goldie] |
23983 | We call emotions 'passions' because they are not as controlled as we would like [Goldie] |
23999 | Emotional control is hard, but we are responsible for our emotions over long time periods [Goldie] |
23994 | Emotions are not easily changed, as new knowledge makes little difference, and akrasia is possible [Goldie] |
23998 | Emotional control is less concerned with emotional incidents, and more with emotional tendencies [Goldie] |
9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
23995 | Akrasia can be either overruling our deliberation, or failing to deliberate [Goldie] |
24000 | Justifying reasons say you were right; excusing reasons say your act was explicable [Goldie] |
24003 | Character traits are both possession of and lack of dispositions [Goldie] |
24002 | We over-estimate the role of character traits when explaining behaviour [Goldie] |
24004 | Psychologists suggest we are muddled about traits, and maybe they should be abandoned [Goldie] |
23993 | Our capabilities did not all evolve during the hunter gathering period [Goldie] |
1513 | The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus] |