41 ideas
7846 | Nietzsche thinks philosophy makes us more profound, but not better [Nietzsche, by Ansell Pearson] |
20107 | How many mediocre thinkers are occupied with influential problems! [Nietzsche] |
20352 | Nietzsche has a metaphysics, as well as perspectives - the ontology is the perspectives [Nietzsche, by Richardson] |
20379 | Reason is just another organic drive, developing late, and fighting for equality [Nietzsche] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
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] |
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] |
20123 | First see nature as non-human, then fit ourselves into this view of nature [Nietzsche] |
20105 | Storms are wonderful expressions of free powers! [Nietzsche] |
20376 | We begin with concepts of kinds, from individuals; but that is not the essence of individuals [Nietzsche] |
22501 | Nietzsche classified actions by the nature of the agent, not the nature of the act [Nietzsche, by Foot] |
22500 | Nietzsche failed to see that moral actions can be voluntary without free will [Foot on Nietzsche] |
20128 | Each person has a fixed constitution, which makes them a particular type of person [Nietzsche, by Leiter] |
22503 | Nietzsche could only revalue human values for a different species [Nietzsche, by Foot] |
8041 | The superman is a monstrous oddity, not a serious idea [MacIntyre on Nietzsche] |
20135 | Nietzsche's higher type of man is much more important than the idealised 'superman' [Nietzsche, by Leiter] |
20353 | The 'will to power' is basically applied to drives and forces, not to people [Nietzsche, by Richardson] |
20113 | Friendly chats undermine my philosophy; wanting to be right at the expense of love is folly [Nietzsche] |
22475 | Moral generalisation is wrong, because we should evaluate individual acts [Nietzsche, by Foot] |
22476 | Nietzsche thought our psychology means there can't be universal human virtues [Nietzsche, by Foot] |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |
20104 | Nietzsche tried to lead a thought-provoking life [Safranski on Nietzsche] |
7847 | Initially nihilism was cosmic, but later Nietzsche saw it as a cultural matter [Nietzsche, by Ansell Pearson] |
9782 | Nietzsche urges that nihilism be active, and will nothing itself [Nietzsche, by Zizek] |
20102 | Flight from boredom leads to art [Nietzsche] |
20106 | Nietzsche was fascinated by a will that can turn against itself [Nietzsche, by Safranski] |
20124 | Reliving life countless times - this gives the value back to life which religion took away [Nietzsche] |
20367 | Individual development is more important than the state, but a community is necessary [Nietzsche] |
20371 | Nietzsche thinks we should join a society, in order to criticise, heal and renew it [Nietzsche, by Richardson] |
20108 | Every culture loses its identity and power if it lacks a major myth [Nietzsche] |