38 ideas
7973 | There is no longer anything on which there is nothing to say [Baudrillard] |
6841 | Some continental philosophers are relativists - Baudrillard, for example [Baudrillard, by Critchley] |
7975 | The task of philosophy is to unmask the illusion of objective reality [Baudrillard] |
7986 | Drunken boat pilots are less likely to collide than clearly focused ones [Baudrillard] |
7982 | Instead of thesis and antithesis leading to synthesis, they now cancel out, and the conflict is levelled [Baudrillard] |
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] |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
17832 | Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13028 | Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
17626 | The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
15897 | Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine] |
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] |
7974 | Without God we faced reality: what do we face without reality? [Baudrillard] |
7987 | Nothing is true, but everything is exact [Baudrillard] |
7978 | There is no need to involve the idea of free will to make choices about one's life [Baudrillard] |
17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
7980 | In modern times, being useless is the essential aesthetic ingredient for an object [Baudrillard] |
7517 | I could take a healthy infant and train it up to be any type of specialist I choose [Watson,JB] |
7983 | Good versus evil has been banefully reduced to happiness versus misfortune [Baudrillard] |
7981 | Whole populations are terrorist threats to authorities, who unite against them [Baudrillard] |
7976 | People like democracy because it means they can avoid power [Baudrillard] |
7977 | Only in the last 200 years have people demanded the democratic privilege of being individuals [Baudrillard] |
7979 | The arrival of the news media brought history to an end [Baudrillard] |
7984 | Suicide is ascribed to depression, with the originality of the act of will ignored [Baudrillard] |
7985 | Pascal says secular life is acceptable, but more fun with the hypothesis of God [Baudrillard] |