105 ideas
| 8011 | Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre] |
| 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] |
| 14456 | 'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell] |
| 2896 | I want to understand the Socratic idea that 'reason equals virtue equals happiness' [Nietzsche] |
| 2897 | With dialectics the rabble gets on top [Nietzsche] |
| 14426 | A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell] |
| 2898 | Anything which must first be proved is of little value [Nietzsche] |
| 8468 | The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein] |
| 14454 | An argument 'satisfies' a function φx if φa is true [Russell] |
| 14453 | The Darapti syllogism is fallacious: All M is S, all M is P, so some S is P' - but if there is no M? [Russell] |
| 14427 | We can enumerate finite classes, but an intensional definition is needed for infinite classes [Russell] |
| 14428 | Members define a unique class, whereas defining characteristics are numerous [Russell] |
| 14440 | We may assume that there are infinite collections, as there is no logical reason against them [Russell] |
| 14447 | Infinity says 'for any inductive cardinal, there is a class having that many terms' [Russell] |
| 14443 | The British parliament has one representative selected from each constituency [Russell] |
| 14445 | Choice shows that if any two cardinals are not equal, one must be the greater [Russell] |
| 14444 | Choice is equivalent to the proposition that every class is well-ordered [Russell] |
| 14446 | We can pick all the right or left boots, but socks need Choice to insure the representative class [Russell] |
| 14459 | Reducibility: a family of functions is equivalent to a single type of function [Russell] |
| 14461 | Propositions about classes can be reduced to propositions about their defining functions [Russell] |
| 8469 | Russell's proposal was that only meaningful predicates have sets as their extensions [Russell, by Orenstein] |
| 8745 | Classes are logical fictions, and are not part of the ultimate furniture of the world [Russell] |
| 14452 | All the propositions of logic are completely general [Russell] |
| 14462 | In modern times, logic has become mathematical, and mathematics has become logical [Russell] |
| 14464 | Logic can be known a priori, without study of the actual world [Russell] |
| 12444 | Logic is concerned with the real world just as truly as zoology [Russell] |
| 10057 | Logic can only assert hypothetical existence [Russell] |
| 10450 | Russell admitted that even names could also be used as descriptions [Russell, by Bach] |
| 14458 | Asking 'Did Homer exist?' is employing an abbreviated description [Russell] |
| 14457 | Names are really descriptions, except for a few words like 'this' and 'that' [Russell] |
| 7311 | The only genuine proper names are 'this' and 'that' [Russell] |
| 14455 | 'I met a unicorn' is meaningful, and so is 'unicorn', but 'a unicorn' is not [Russell] |
| 14442 | If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell] |
| 14438 | New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell] |
| 13510 | Could a number just be something which occurs in a progression? [Russell, by Hart,WD] |
| 14436 | A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell] |
| 14439 | A complex number is simply an ordered couple of real numbers [Russell] |
| 14421 | Discovering that 1 is a number was difficult [Russell] |
| 14424 | Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell] |
| 14441 | The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell] |
| 14420 | Infinity and continuity used to be philosophy, but are now mathematics [Russell] |
| 14431 | The definition of order needs a transitive relation, to leap over infinite intermediate terms [Russell] |
| 14422 | Any founded, non-repeating series all reachable in steps will satisfy Peano's axioms [Russell] |
| 14423 | '0', 'number' and 'successor' cannot be defined by Peano's axioms [Russell] |
| 14425 | A number is something which characterises collections of the same size [Russell] |
| 14434 | What matters is the logical interrelation of mathematical terms, not their intrinsic nature [Russell] |
| 14465 | Maybe numbers are adjectives, since 'ten men' grammatically resembles 'white men' [Russell] |
| 13414 | For Russell, numbers are sets of equivalent sets [Russell, by Benacerraf] |
| 14449 | There is always something psychological about inference [Russell] |
| 14463 | Existence can only be asserted of something described, not of something named [Russell] |
| 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] |
| 14429 | Classes are logical fictions, made from defining characteristics [Russell] |
| 14430 | If a relation is symmetrical and transitive, it has to be reflexive [Russell] |
| 14432 | 'Asymmetry' is incompatible with its converse; a is husband of b, so b can't be husband of a [Russell] |
| 18314 | In language we treat 'ego' as a substance, and it is thus that we create the concept 'thing' [Nietzsche] |
| 14435 | The essence of individuality is beyond description, and hence irrelevant to science [Russell] |
| 12197 | Inferring q from p only needs p to be true, and 'not-p or q' to be true [Russell] |
| 14450 | All forms of implication are expressible as truth-functions [Russell] |
| 14460 | If something is true in all possible worlds then it is logically necessary [Russell] |
| 18309 | The evidence of the senses is falsified by reason [Nietzsche] |
| 14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
| 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] |
| 14451 | Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell] |
| 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] |
| 18321 | To evaluate life one must know it, but also be situated outside of it [Nietzsche] |
| 2893 | In every age the wisest people have judged life to be worthless [Nietzsche] |
| 2894 | Value judgements about life can never be true [Nietzsche] |
| 2895 | The value of life cannot be estimated [Nietzsche] |
| 18322 | When we establish values, that is life itself establishing them, through us [Nietzsche] |
| 18308 | A philosopher fails in wisdom if he thinks the value of life is a problem [Nietzsche] |
| 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] |
| 6609 | With respect to religion, reason is a blind whore [Luther] |
| 18318 | People who disparage actual life avenge themselves by imagining a better one [Nietzsche] |