101 ideas
| 7170 | 'Wisdom' attempts to get beyond perspectives, making it hostile to life [Nietzsche] |
| 7167 | Words such as 'I' and 'do' and 'done to' are placed at the point where our ignorance begins [Nietzsche] |
| 7196 | Pessimism is laughable, because the world cannot be evaluated [Nietzsche] |
| 7137 | Is a 'philosopher' now impossible, because knowledge is too vast for an overview? [Nietzsche] |
| 7132 | Philosophers should create and fight for their concepts, not just clean and clarify them [Nietzsche] |
| 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] |
| 7188 | Logic tries to understand the world according to a man-made scheme [Nietzsche] |
| 7145 | Logic is not driven by truth, but desire for a simple single viewpoint [Nietzsche] |
| 7144 | Logic must falsely assume that identical cases exist [Nietzsche] |
| 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] |
| 7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
| 17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
| 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] |
| 7207 | Counting needs unities, but that doesn't mean they exist; we borrowed it from the concept of 'I' [Nietzsche] |
| 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] |
| 7153 | We can't be realists, because we don't know what being is [Nietzsche] |
| 7174 | Categories are not metaphysical truths, but inventions in the service of needs [Nietzsche] |
| 7175 | Philosophers find it particularly hard to shake off belief in necessary categories [Nietzsche] |
| 9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
| 7189 | Maybe there are only subjects, and 'objects' result from relations between subjects [Nietzsche] |
| 7161 | The essence of a thing is only an opinion about the 'thing' [Nietzsche] |
| 7134 | Something can be irrefutable; that doesn't make it true [Nietzsche] |
| 7186 | There are no necessary truths, but something must be held to be true [Nietzsche] |
| 7154 | We can't use our own self to criticise our own capacity for knowledge! [Nietzsche] |
| 7146 | Belief in the body is better established than belief in the mind [Nietzsche] |
| 7156 | Sense perceptions contain values (useful, so pleasant) [Nietzsche] |
| 7181 | Pain shows the value of the damage, not what has been damaged [Nietzsche] |
| 7129 | Perception is unconscious, and we are only conscious of processed perceptions [Nietzsche] |
| 7149 | Comprehending everything is impossible, because it abolishes perspectives [Nietzsche] |
| 7169 | Is the perspectival part of the essence, or just a relation between beings? [Nietzsche] |
| 7182 | 'Perspectivism': the world has no meaning, but various interpretations give it countless meanings [Nietzsche] |
| 7183 | 'Subjectivity' is an interpretation, since subjects (and interpreters) are fictions [Nietzsche] |
| 7133 | It is tempting to think many eyes means many truths - so not truth [Nietzsche] |
| 7139 | Explanation is just showing the succession of things ever more clearly [Nietzsche] |
| 7131 | The intellect and senses are a simplifying apparatus [Nietzsche] |
| 7152 | With protoplasm ½+½=2, so the soul is not an indivisible monad [Nietzsche] |
| 7130 | Unity is not in the conscious 'I', but in the organism, which uses the self as a tool [Nietzsche] |
| 7155 | Consciousness exists to the extent that consciousness is useful [Nietzsche] |
| 7143 | Consciousness is a 'tool' - just as the stomach is a tool [Nietzsche] |
| 7157 | We think each thought causes the next, unaware of the hidden struggle beneath [Nietzsche] |
| 7148 | The 'I' is a conceptual synthesis, not the governor of our being [Nietzsche] |
| 7138 | The 'I' is a fiction used to make the world of becoming 'knowable' [Nietzsche] |
| 7135 | 'Freedom of will' is the feeling of having a dominating force [Nietzsche] |
| 7171 | Rationality is a scheme we cannot cast away [Nietzsche] |
| 9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
| 9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
| 9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
| 7209 | There is no will; weakness of will is splitting of impulses, strong will is coordination under one impulse [Nietzsche] |
| 7194 | Experiencing a thing as beautiful is to experience it wrongly [Nietzsche] |
| 7136 | Morality is a system of values which accompanies a being's life [Nietzsche] |
| 7163 | Morality is merely interpretations, which are extra-moral in origin [Nietzsche] |
| 7147 | Values are innate and inherited [Nietzsche] |
| 7190 | Our values express an earlier era's conditions for survival and growth [Nietzsche] |
| 7201 | Knowledge, wisdom and goodness only have value relative to a goal [Nietzsche] |
| 7205 | Altruism is praised by the egoism of the weak, who want everyone to be looked after [Nietzsche] |
| 7141 | A living being is totally 'egoistic' [Nietzsche] |
| 7168 | Modest people express happiness as 'Not bad' [Nietzsche] |
| 7159 | The only happiness is happiness with illusion [Nietzsche] |
| 7197 | Pleasure needs dissatisfaction, boundaries and resistances [Nietzsche] |
| 7165 | Virtue is wasteful, as it reduces us all to being one another's nurse [Nietzsche] |
| 7193 | Virtue for everyone removes its charm of being exceptional and aristocratic [Nietzsche] |
| 7191 | What does not kill us makes us stronger [Nietzsche] |
| 7151 | Courage, compassion, insight, solitude are the virtues, with courtesy a necessary vice [Nietzsche] |
| 23223 | The word 'respect' ranges from mere non-interference to the highest levels of reverence [Blackburn] |
| 7185 | Replace the categorical imperative by the natural imperative [Nietzsche] |
| 7164 | Not feeling harnessed to a system of 'ends' is a wonderful feeling of freedom [Nietzsche] |
| 7198 | Nihilism results from measuring the world by our categories which are purely invented [Nietzsche] |
| 7150 | By developing herd virtues man fixes what has up to now been the 'unfixed animal' [Nietzsche] |
| 7177 | Virtues from outside are dangerous, and they should come from within [Nietzsche] |
| 7172 | Existence without meaning or goal or end, eternally recurring, is a terrible thought [Nietzsche] |
| 7166 | Man is above all a judging animal [Nietzsche] |
| 7204 | The upholding of the military state is needed to maintain the strong human type [Nietzsche] |
| 7173 | Rights arise out of contracts, which need a balance of power [Nietzsche] |
| 7176 | 'Purpose' is like the sun, where most heat is wasted, and a tiny part has 'purpose' [Nietzsche] |
| 7195 | If the world aimed at an end, it would have reached it by now [Nietzsche] |
| 7206 | Things are strong or weak, and do not behave regularly or according to rules or compulsions [Nietzsche] |
| 7140 | Chemical 'laws' are merely the establishment of power relations between weaker and stronger [Nietzsche] |
| 7142 | All motions and 'laws' are symptoms of inner events, traceable to the will to power [Nietzsche] |
| 7178 | The utility of an organ does not explain its origin, on the contrary! [Nietzsche] |
| 7179 | Survival might undermine an individual's value, or prevent its evolution [Nietzsche] |
| 7180 | Darwin overestimates the influence of 'external circumstances' [Nietzsche] |
| 7192 | Remove goodness and wisdom from our concept of God. Being the highest power is enough! [Nietzsche] |
| 7158 | Morality kills religion, because a Christian-moral God is unbelievable [Nietzsche] |
| 7199 | It is dishonest to invent a being containing our greatest values, thus ignoring why they exist and are valuable [Nietzsche] |
| 7208 | Paganism is a form of thanking and affirming life? [Nietzsche] |
| 7160 | Christian belief is kept alive because it is soothing - the proof based on pleasure [Nietzsche] |
| 7203 | In heaven all the interesting men are missing [Nietzsche] |
| 7200 | A combination of great power and goodness would mean the disastrous abolition of evil [Nietzsche] |