73 ideas
18330 | Judging by the positive forces, the Renaissance was the last great age [Nietzsche] |
2900 | I revere Heraclitus [Nietzsche] |
2913 | Thucydides was the perfect anti-platonist sophist [Nietzsche] |
2909 | Thinking has to be learned in the way dancing has to be learned [Nietzsche] |
2892 | Wanting a system in philosophy is a lack of integrity [Nietzsche] |
2896 | I want to understand the Socratic idea that 'reason equals virtue equals happiness' [Nietzsche] |
2897 | With dialectics the rabble gets on top [Nietzsche] |
22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
2898 | Anything which must first be proved is of little value [Nietzsche] |
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] |
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] |
9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
9826 | A system S is said to be infinite when it is similar to a proper part of itself [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] |
18317 | The 'real being' of things is a nothingness constructed from contradictions in the actual world [Nietzsche] |
18315 | We get the concept of 'being' from the concept of the 'ego' [Nietzsche] |
18316 | The grounds for an assertion that the world is only apparent actually establish its reality [Nietzsche] |
9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
18314 | In language we treat 'ego' as a substance, and it is thus that we create the concept 'thing' [Nietzsche] |
18309 | The evidence of the senses is falsified by reason [Nietzsche] |
18323 | Any explanation will be accepted as true if it gives pleasure and a feeling of power [Nietzsche] |
18310 | The 'highest' concepts are the most general and empty concepts [Nietzsche] |
20368 | There are no 'individual' persons; we are each the sum of humanity up to this moment [Nietzsche] |
2899 | The fanatical rationality of Greek philosophy shows that they were in a state of emergency [Nietzsche] |
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] |
18313 | The big error is to think the will is a faculty producing effects; in fact, it is just a word [Nietzsche] |
20133 | The 'motive' is superficial, and may even hide the antecedents of a deed [Nietzsche] |
18326 | The beautiful never stands alone; it derives from man's pleasure in man [Nietzsche] |
20101 | Without music life would be a mistake [Nietzsche] |
2902 | Healthy morality is dominated by an instinct for life [Nietzsche] |
18311 | Philosophers hate values having an origin, and want values to be self-sufficient [Nietzsche] |
18324 | There are no moral facts, and moralists believe in realities which do not exist [Nietzsche] |
2904 | The doctrine of free will has been invented essentially in order to blame and punish people [Nietzsche] |
2894 | Value judgements about life can never be true [Nietzsche] |
18321 | To evaluate life one must know it, but also be situated outside of it [Nietzsche] |
2895 | The value of life cannot be estimated [Nietzsche] |
18322 | When we establish values, that is life itself establishing them, through us [Nietzsche] |
2893 | In every age the wisest people have judged life to be worthless [Nietzsche] |
18308 | A philosopher fails in wisdom if he thinks the value of life is a problem [Nietzsche] |
16764 | The soul conserves the body, as we see by its dissolution when the soul leaves [Toletus] |
18319 | Love is the spiritualisation of sensuality [Nietzsche] |
2903 | A good human will be virtuous because they are happy [Nietzsche] |
2891 | Only the English actually strive after happiness [Nietzsche] |
18327 | A wholly altruistic morality, with no egoism, is a thoroughly bad thing [Nietzsche] |
15606 | Military idea: what does not kill me makes me stronger [Nietzsche] |
18328 | Invalids are parasites [Nietzsche] |
18331 | Democracy is organisational power in decline [Nietzsche] |
18332 | The creation of institutions needs a determination which is necessarily anti-liberal [Nietzsche] |
2911 | True justice is equality for equals and inequality for unequals [Nietzsche] |
18320 | To renounce war is to renounce the grand life [Nietzsche] |
2908 | There is a need for educators who are themselves educated [Nietzsche] |
18329 | Sometimes it is an error to have been born - but we can rectify it [Nietzsche] |
2905 | 'Purpose' is just a human fiction [Nietzsche] |
18312 | The supreme general but empty concepts must be compatible, and hence we get 'God' [Nietzsche] |
2906 | By denying God we deny human accountability, and thus we redeem the world [Nietzsche] |
2901 | How could the Church intelligently fight against passion if it preferred poorness of spirit to intelligence? [Nietzsche] |
18325 | Christians believe that only God can know what is good for man [Nietzsche] |
18318 | People who disparage actual life avenge themselves by imagining a better one [Nietzsche] |