69 ideas
5896 | Speak the truth, for this alone deifies man [Pythagoras, by Porphyry] |
20262 | Don't use wisdom in order to become clever! [Nietzsche] |
3051 | Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius] |
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] |
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] |
10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
7485 | For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson] |
20258 | Most people treat knowledge as a private possession [Nietzsche] |
20250 | We may be unable to remember, but we may never actually forget [Nietzsche] |
20270 | There is no one scientific method; we must try many approaches, and many emotions [Nietzsche] |
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] |
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] |
3053 | Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius] |
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] |
20263 | Fear reveals the natures of other people much more clearly than love does [Nietzsche] |
20252 | Marriage is too serious to be permitted for people in love! [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] |
20272 | Honesty is a new young virtue, and we can promote it, or not [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] |
20274 | The cardinal virtues want us to be honest, brave, magnanimous and polite [Nietzsche] |
5244 | For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle] |
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] |
644 | For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle] |
638 | Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle] |
553 | Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle] |
554 | Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle] |
375 | When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato] |
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] |
7467 | The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson] |
20264 | The easy and graceful aspects of a person are called 'soul', and inner awkwardness is called 'soulless' [Nietzsche] |