105 ideas
20383 | The wisest man is full of contradictions, and attuned to other people, with occasional harmony [Nietzsche] |
4520 | I don't want to persuade anyone to be a philosopher; they should be rare plants [Nietzsche] |
4545 | Could not the objective character of things be merely a difference of degree within the subjective? [Nietzsche] |
4530 | Reason is a mere idiosyncrasy of a certain species of animal [Nietzsche] |
4523 | What can be 'demonstrated' is of little worth [Nietzsche] |
4531 | Our inability to both affirm and deny a single thing is merely an inability, not a 'necessity' [Nietzsche] |
4541 | Everything simple is merely imaginary [Nietzsche] |
20357 | Truth was given value by morality, but eventually turned against its own source [Nietzsche] |
4534 | 'Truth' is the will to be master over the multiplicity of sensations [Nietzsche] |
4548 | Only because there is thought is there untruth [Nietzsche] |
5652 | True beliefs are those which augment one's power [Nietzsche, by Scruton] |
4508 | The truth is what gives us the minimum of spiritual effort, and avoids the exhaustion of lying [Nietzsche] |
4538 | Judgements can't be true and known in isolation; the only surety is in connections and relations [Nietzsche] |
17926 | Rejecting double negation elimination undermines reductio proofs [Colyvan] |
17925 | Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan] |
17924 | Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan] |
17929 | Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan] |
17930 | Axioms are 'categorical' if all of their models are isomorphic [Colyvan] |
17928 | Ordinal numbers represent order relations [Colyvan] |
20361 | We need 'unities' for reckoning, but that does not mean they exist [Nietzsche] |
17923 | Intuitionists only accept a few safe infinities [Colyvan] |
17941 | Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan] |
17922 | Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan] |
17936 | Transfinite induction moves from all cases, up to the limit ordinal [Colyvan] |
17940 | Most mathematical proofs are using set theory, but without saying so [Colyvan] |
17931 | Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan] |
17932 | If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan] |
4533 | Logic and maths refer to fictitious entities which we have created [Nietzsche] |
20359 | The nature of being, of things, is much easier to understand than is becoming [Nietzsche] |
4525 | There are no facts in themselves, only interpretations [Nietzsche] |
4543 | There are no 'facts-in-themselves', since a sense must be projected into them to make them 'facts' [Nietzsche] |
4484 | Nihilism results from valuing the world by the 'categories of reason', because that is fiction [Nietzsche] |
4546 | We realise that properties are sensations of the feeling subject, not part of the thing [Nietzsche] |
4544 | A thing has no properties if it has no effect on other 'things' [Nietzsche] |
20362 | We saw unity in things because our ego seemed unified (but now we doubt the ego!) [Nietzsche] |
4528 | For me, a priori 'truths' are just provisional assumptions [Nietzsche] |
4537 | We can't know whether there is knowledge if we don't know what it is [Nietzsche] |
4485 | Every belief is a considering-something-true [Nietzsche] |
4487 | A note for asses: What convinces is not necessarily true - it is merely convincing [Nietzsche] |
4539 | The forms of 'knowledge' about logic which precede experience are actually regulations of belief [Nietzsche] |
4529 | All sense perceptions are permeated with value judgements (useful or harmful) [Nietzsche] |
4532 | We can have two opposite sensations, like hard and soft, at the same time [Nietzsche] |
4486 | The extreme view is there are only perspectives, no true beliefs, because there is no true world [Nietzsche] |
17943 | Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan] |
17939 | Mathematics can reveal structural similarities in diverse systems [Colyvan] |
17938 | Mathematics can show why some surprising events have to occur [Colyvan] |
17934 | Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan] |
17933 | Reductio proofs do not seem to be very explanatory [Colyvan] |
17935 | If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan] |
17942 | Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan] |
5987 | Alcmaeon was the first to say the brain is central to thinking [Alcmaeon, by Staden, von] |
4536 | It is a major blunder to think of consciousness as a unity, and hence as an entity, a thing [Nietzsche] |
17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
4551 | Great self-examination is to become conscious of oneself not as an individual, but as mankind [Nietzsche] |
4527 | Perhaps we are not single subjects, but a multiplicity of 'cells', interacting to create thought [Nietzsche] |
20374 | Consciousness is a terminal phenomenon, and causes nothing [Nietzsche] |
23938 | Passions are ranked, as if they are non-rational and animal pleasure seeking [Nietzsche] |
23939 | We fail to see that reason is a network of passions, and every passion contains some reason [Nietzsche] |
4554 | The concept of the 'will' is just a false simplification by our understanding [Nietzsche] |
4552 | There is no such things a pure 'willing' on its own; the aim must always be part of it [Nietzsche] |
4521 | None of the ancients had the courage to deny morality by denying free will [Nietzsche] |
4496 | 'Conscience' is invented to value actions by intention and conformity to 'law', rather than consequences [Nietzsche] |
20136 | There is an extended logic to a great man's life, achieved by a sustained will [Nietzsche] |
20358 | The highest man can endure and control the greatest combination of powerful drives [Nietzsche] |
20369 | The highest man directs the values of the highest natures over millenia [Nietzsche] |
4506 | There is a conspiracy (a will to power) to make morality dominate other values, like knowledge and art [Nietzsche] |
4514 | The basic tendency of the weak has always been to pull down the strong, using morality [Nietzsche] |
20370 | All evaluation is from some perspective, and aims at survival [Nietzsche] |
20354 | The ruling drives of our culture all want to be the highest court of our values [Nietzsche] |
4505 | How can it be that I should prefer my neighbour to myself, but he should prefer me to himself? [Nietzsche] |
4509 | Utilitarians prefer consequences because intentions are unknowable - but so are consequences! [Nietzsche] |
4500 | It is a sign of degeneration when eudaimonistic values begin to prevail [Nietzsche] |
4558 | We have no more right to 'happiness' than worms [Nietzsche] |
4550 | Pleasure and pain are mere epiphenomena, and achievement requires that one desire both [Nietzsche] |
4518 | The question about egoism is: what kind of ego? since not all egos are equal [Nietzsche] |
4519 | The ego is only a fiction, and doesn't exist at all [Nietzsche] |
4517 | Egoism is inescapable, and when it grows weak, the power of love also grows weak [Nietzsche] |
4560 | The Golden Rule prohibits harmful actions, with the premise that actions will be requited [Nietzsche] |
4555 | The great error is to think that happiness derives from virtue, which in turn derives from free will [Nietzsche] |
4494 | Not "return to nature", for there has never yet been a natural humanity [Nietzsche] |
4498 | 'Love your enemy' is unnatural, for the natural law says 'love your neighbour and hate your enemy' [Nietzsche] |
4493 | Be natural! But how, if one happens to be "unnatural"? [Nietzsche] |
4511 | We would avoid a person who always needed reasons for remaining decent [Nietzsche] |
4512 | Virtue is pursued from self-interest and prudence, and reduces people to non-entities [Nietzsche] |
20372 | The instinct of the herd, the majority, aims for the mean, in the middle [Nietzsche] |
4510 | A path to power: to introduce a new virtue under the name of an old one [Nietzsche] |
4515 | Modesty, industriousness, benevolence and temperance are the virtues of a good slave [Nietzsche] |
4516 | Many virtues are merely restraints on the most creative qualities of a human being [Nietzsche] |
4559 | When powerless one desires freedom; if power is too weak, one desires equal power ('justice') [Nietzsche] |
4557 | The supposed great lovers of honour (Alexander etc) were actually great despisers of honour [Nietzsche] |
4507 | The categorical imperative needs either God behind it, or a metaphysic of the unity of reason [Nietzsche] |
4501 | Utilitarianism criticises the origins of morality, but still believes in it as much as Christians [Nietzsche] |
4489 | If faith is lost, people seek other authorities, in order to avoid the risk of willing personal goals [Nietzsche] |
4513 | Virtuous people are inferior because they are not 'persons', but conform to a fixed pattern [Nietzsche] |
4504 | Morality used to be for preservation, but now we can only experiment, giving ourselves moral goals [Nietzsche] |
4495 | The high points of culture and civilization do not coincide [Nietzsche] |
4491 | In modern society virtue is 'equal rights', but only because everyone is zero, so it is a sum of zeroes [Nietzsche] |
4542 | Science has taken the meaning out of causation; cause and effect are two equal sides of an equation [Nietzsche] |
4553 | We derive the popular belief in cause and effect from our belief that our free will causes things [Nietzsche] |
4535 | A 'species' is a stable phase of evolution, implying the false notion that evolution has a goal [Nietzsche] |
4497 | The concept of 'God' represents a turning away from life, and a critique of life [Nietzsche] |
4488 | Those who have abandoned God cling that much more firmly to the faith in morality [Nietzsche] |
4502 | Morality cannot survive when the God who sanctions it is missing [Nietzsche] |
4499 | Primitive Christianity is abolition of the state; it is opposed to defence, justice, patriotism and class [Nietzsche] |
24043 | Soul must be immortal, since it continually moves, like the heavens [Alcmaeon, by Aristotle] |