53 ideas
| 7500 | Early Greeks cared about city and companions; later Greeks concentrated on the self [Foucault] |
| 15045 | The big issue since the eighteenth century has been: what is Reason? Its effect, limits and dangers? [Foucault] |
| 7426 | Critical philosophy is what questions domination at every level [Foucault] |
| 7423 | Philosophy and politics are fundamentally linked [Foucault] |
| 15038 | Structuralism systematically abstracted the event from sciences, and even from history [Foucault] |
| 7420 | When logos controls our desires, we have actually become the logos [Foucault] |
| 21945 | Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting] |
| 15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
| 15044 | 'Truth' is the procedures for controlling which statements are acceptable [Foucault] |
| 15042 | Truth doesn't arise from solitary freedom, but from societies with constraints [Foucault] |
| 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] |
| 15037 | Why does knowledge appear in sudden bursts, and not in a smooth continuous development? [Foucault] |
| 21942 | Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting] |
| 7424 | Saying games of truth were merely power relations would be a horrible exaggeration [Foucault] |
| 21941 | Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting] |
| 7422 | A subject is a form which can change, in (say) political or sexual situations [Foucault] |
| 22235 | Feelings are not unchanging, but have a history (especially if they are noble) [Foucault] |
| 17613 | We should judge principles by the science, not science by some fixed principles [Zermelo] |
| 21939 | The author function of any text is a plurality of selves [Foucault, by Gutting] |
| 7419 | Ethics is the conscious practice of freedom [Foucault] |
| 7501 | Why couldn't a person's life become a work of art? [Foucault] |
| 7498 | Greeks and early Christians were much more concerned about food than about sex [Foucault] |
| 21940 | Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault] |
| 15043 | Every society has a politics of truth, concerning its values, functions, prestige and mechanisms [Foucault] |
| 15040 | Marxists denounced power as class domination, but never analysed its mechanics [Foucault] |
| 15041 | Power doesn't just repress, but entices us with pleasure, artefacts, knowledge and discourse [Foucault] |
| 8991 | Foucault can't accept that power is sometimes decent and benign [Foucault, by Scruton] |
| 7425 | The aim is not to eliminate power relations, but to reduce domination [Foucault] |
| 22236 | The big question of the Renaissance was how to govern everything, from the state to children [Foucault] |
| 21947 | Power is localised, so we either have totalitarian centralisation, or local politics [Foucault, by Gutting] |
| 21946 | Prisons gradually became our models for schools, hospitals and factories [Foucault, by Gutting] |
| 7418 | The idea of liberation suggests there is a human nature which has been repressed [Foucault] |
| 7810 | The 'Eumenides' of Aeschylus shows blood feuds replaced by law [Aeschylus, by Grayling] |
| 21116 | Power is used to create identities and ways of life for other people [Foucault, by Shorten] |
| 15039 | History lacks 'meaning', but it can be analysed in terms of its struggles [Foucault] |