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] |
| 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] |
| 17925 | Showing a disproof is impossible is not a proof, so don't eliminate double negation [Colyvan] |
| 17926 | Rejecting double negation elimination undermines reductio proofs [Colyvan] |
| 17924 | Excluded middle says P or not-P; bivalence says P is either true or false [Colyvan] |
| 17929 | Löwenheim proved his result for a first-order sentence, and Skolem generalised it [Colyvan] |
| 17930 | Axioms are 'categorical' if all of their models are isomorphic [Colyvan] |
| 17928 | Ordinal numbers represent order relations [Colyvan] |
| 17923 | Intuitionists only accept a few safe infinities [Colyvan] |
| 17941 | Infinitesimals were sometimes zero, and sometimes close to zero [Colyvan] |
| 17922 | Reducing real numbers to rationals suggested arithmetic as the foundation of maths [Colyvan] |
| 17936 | Transfinite induction moves from all cases, up to the limit ordinal [Colyvan] |
| 17940 | Most mathematical proofs are using set theory, but without saying so [Colyvan] |
| 17931 | Structuralism say only 'up to isomorphism' matters because that is all there is to it [Colyvan] |
| 17932 | If 'in re' structures relies on the world, does the world contain rich enough structures? [Colyvan] |
| 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] |
| 17943 | Probability supports Bayesianism better as degrees of belief than as ratios of frequencies [Colyvan] |
| 17939 | Mathematics can reveal structural similarities in diverse systems [Colyvan] |
| 17938 | Mathematics can show why some surprising events have to occur [Colyvan] |
| 17934 | Proof by cases (by 'exhaustion') is said to be unexplanatory [Colyvan] |
| 17933 | Reductio proofs do not seem to be very explanatory [Colyvan] |
| 17935 | If inductive proofs hold because of the structure of natural numbers, they may explain theorems [Colyvan] |
| 17942 | Can a proof that no one understands (of the four-colour theorem) really be a proof? [Colyvan] |
| 21941 | Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting] |
| 17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
| 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] |
| 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] |
| 20565 | Men are created equal, and with certain inalienable rights [Jefferson] |
| 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] |
| 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] |