24 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
7426 | Critical philosophy is what questions domination at every level [Foucault] |
7423 | Philosophy and politics are fundamentally linked [Foucault] |
7420 | When logos controls our desires, we have actually become the logos [Foucault] |
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] |
7424 | Saying games of truth were merely power relations would be a horrible exaggeration [Foucault] |
7422 | A subject is a form which can change, in (say) political or sexual situations [Foucault] |
7419 | Ethics is the conscious practice of freedom [Foucault] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
7425 | The aim is not to eliminate power relations, but to reduce domination [Foucault] |
7418 | The idea of liberation suggests there is a human nature which has been repressed [Foucault] |