16 ideas
21945 | Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
21942 | Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting] |
21941 | Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting] |
21939 | The author function of any text is a plurality of selves [Foucault, by Gutting] |
21940 | Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault] |
21116 | Power is used to create identities and ways of life for other people [Foucault, by Shorten] |