103 ideas
20262 | Don't use wisdom in order to become clever! [Nietzsche] |
20255 | Early 19th century German philosophers enjoyed concepts, rather than scientific explanations [Nietzsche] |
20260 | Carlyle spent his life vainly trying to make reason appear romantic [Nietzsche] |
20256 | What we think is totally dictated by the language available to express it [Nietzsche] |
20265 | The desire for a complete system requires making the weak parts look equal to the rest [Nietzsche] |
14456 | 'Socrates is human' expresses predication, and 'Socrates is a man' expresses identity [Russell] |
14426 | A definition by 'extension' enumerates items, and one by 'intension' gives a defining property [Russell] |
8468 | The sentence 'procrastination drinks quadruplicity' is meaningless, rather than false [Russell, by Orenstein] |
20380 | Why should truth be omnipotent? It is enough that it is very powerful [Nietzsche] |
20235 | Like animals, we seek truth because we want safety [Nietzsche] |
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] |
14444 | Choice is equivalent to the proposition that every class is well-ordered [Russell] |
14445 | Choice shows that if any two cardinals are not equal, one must be the greater [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] |
12444 | Logic is concerned with the real world just as truly as zoology [Russell] |
10057 | Logic can only assert hypothetical existence [Russell] |
14464 | Logic can be known a priori, without study of the actual world [Russell] |
10450 | Russell admitted that even names could also be used as descriptions [Russell, by Bach] |
14457 | Names are really descriptions, except for a few words like 'this' and 'that' [Russell] |
14458 | Asking 'Did Homer exist?' is employing an abbreviated description [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] |
14423 | '0', 'number' and 'successor' cannot be defined by Peano's axioms [Russell] |
14422 | Any founded, non-repeating series all reachable in steps will satisfy 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] |
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] |
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] |
20258 | Most people treat knowledge as a private possession [Nietzsche] |
20250 | We may be unable to remember, but we may never actually forget [Nietzsche] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
20270 | There is no one scientific method; we must try many approaches, and many emotions [Nietzsche] |
14433 | Mathematically expressed propositions are true of the world, but how to interpret them? [Russell] |
20131 | We can cultivate our drives, of anger, pity, curiosity, vanity, like a gardener, with good or bad taste [Nietzsche] |
20242 | Things are the boundaries of humanity, so all things must be known, for self-knowledge [Nietzsche] |
20249 | Our knowledge of the many drives that constitute us is hopelessly incomplete [Nietzsche] |
20231 | People used to think that outcomes were from God, rather than consequences of acts [Nietzsche] |
14451 | Propositions are mainly verbal expressions of true or false, and perhaps also symbolic thoughts [Russell] |
20266 | It is essential that wise people learn to express their wisdom, possibly even as foolishness [Nietzsche] |
20251 | Actions done for a purpose are least understood, because we complacently think it's obvious [Nietzsche] |
20271 | Beauty in art is the imitation of happiness [Nietzsche] |
20230 | The very idea of a critique of morality is regarded as immoral! [Nietzsche] |
20234 | Morality prevents us from developing better customs [Nietzsche] |
20237 | Moral feelings are entirely different from the moral concepts used to judge actions [Nietzsche] |
20238 | Treating morality as feelings is just obeying your ancestors [Nietzsche] |
20243 | Human beings are not majestic, either through divine origins, or through grand aims [Nietzsche] |
20268 | Most dying people have probably lost more important things than what they are about to lose [Nietzsche] |
20236 | Marriage upholds the idea that love, though a passion, can endure [Nietzsche] |
20252 | Marriage is too serious to be permitted for people in love! [Nietzsche] |
20263 | Fear reveals the natures of other people much more clearly than love does [Nietzsche] |
20233 | Punishment has distorted the pure innocence of the contingency of outcomes [Nietzsche] |
20248 | People do nothing for their real ego, but only for a phantom ego created by other people [Nietzsche] |
20246 | If you feel to others as they feel to themselves, you must hate a self-hater [Nietzsche] |
20240 | The Jews treated great anger as holy, and were in awe of those who expressed it [Nietzsche] |
20244 | Christianity replaces rational philosophical virtues with great passions focused on God [Nietzsche] |
20272 | Honesty is a new young virtue, and we can promote it, or not [Nietzsche] |
20274 | The cardinal virtues want us to be honest, brave, magnanimous and polite [Nietzsche] |
20257 | Cool courage and feverish bravery have one name, but are two very different virtues [Nietzsche] |
20259 | Teach youth to respect people who differ with them, not people who agree with them [Nietzsche] |
20267 | Seeing duty as a burden makes it a bit cruel, and it can thus never become a habit [Nietzsche] |
20275 | Most people think they are already complete, but we can cultivate ourselves [Nietzsche] |
20229 | No authority ever willingly accepts criticism [Nietzsche] |
20254 | People govern for the pleasure of it, or just to avoid being governed [Nietzsche] |
20273 | The French Revolution gave trusting Europe the false delusion of instant recovery [Nietzsche] |
20232 | Get rid of the idea of punishment! It is a noxious weed! [Nietzsche] |
20253 | Modern wars arise from the study of history [Nietzsche] |
20261 | History does not concern what really happened, but supposed events, which have all the influence [Nietzsche] |
20241 | Enquirers think finding our origin is salvation, but it turns out to be dull [Nietzsche] |
20245 | Christianity hoped for a short cut to perfection, that skipped the hard labour of morality [Nietzsche] |
20247 | Christianity was successful because of its heathen rituals [Nietzsche] |
20269 | 'I believe because it is absurd' - but how about 'I believe because I am absurd' [Nietzsche] |
20264 | The easy and graceful aspects of a person are called 'soul', and inner awkwardness is called 'soulless' [Nietzsche] |