62 ideas
19693 | There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb] |
18290 | But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche] |
18303 | Reject wisdom that lacks laughter [Nietzsche] |
1575 | For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle] |
1589 | Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle] |
8200 | Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine] |
4385 | Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
18305 | To love truth, you must know how to lie [Nietzsche] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
4730 | For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
13276 | The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki] |
13277 | The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki] |
5991 | For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code] |
11239 | The notion of a priori truth is absent in Aristotle [Aristotle, by Politis] |
23312 | Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M] |
16111 | Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML] |
16971 | Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik] |
11243 | Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis] |
3320 | Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA] |
12000 | Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung] |
20757 | The powerful self behind your thoughts and feelings is your body [Nietzsche] |
18289 | Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche] |
23300 | Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji] |
11240 | The notion of analytic truth is absent in Aristotle [Aristotle, by Politis] |
18299 | The will is constantly frustrated by the past [Nietzsche] |
18297 | We created meanings, to maintain ourselves [Nietzsche] |
6559 | Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin] |
18293 | The noble man wants new virtues; the good man preserves what is old [Nietzsche] |
18301 | We only really love children and work [Nietzsche] |
18307 | I want my work, not happiness! [Nietzsche] |
18291 | Virtues can destroy one another, through jealousy [Nietzsche] |
18287 | People now find both wealth and poverty too much of a burden [Nietzsche] |
18295 | If you want friends, you must be a fighter [Nietzsche] |
18286 | The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche] |
18296 | An enduring people needs its own individual values [Nietzsche] |
18294 | The state coldly claims that it is the people, but that is a lie [Nietzsche] |
18304 | Saints want to live as they desire, or not to live at all [Nietzsche] |
18300 | Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche] |
11150 | It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle] |
3037 | Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius] |
18302 | Man and woman are deeply strange to one another! [Nietzsche] |
8660 | There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend] |
12058 | Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins] |
18292 | I can only believe in a God who can dance [Nietzsche] |
18298 | Not being a god is insupportable, so there are no gods! [Nietzsche] |
22729 | The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus] |
18288 | Heaven was invented by the sick and the dying [Nietzsche] |
18306 | We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche] |