25 ideas
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] |
10775 | The axiom of choice now seems acceptable and obvious (if it is meaningful) [Tharp] |
10766 | Logic is either for demonstration, or for characterizing structures [Tharp] |
10767 | Elementary logic is complete, but cannot capture mathematics [Tharp] |
10769 | Second-order logic isn't provable, but will express set-theory and classic problems [Tharp] |
10762 | In sentential logic there is a simple proof that all truth functions can be reduced to 'not' and 'and' [Tharp] |
10776 | The main quantifiers extend 'and' and 'or' to infinite domains [Tharp] |
10774 | There are at least five unorthodox quantifiers that could be used [Tharp] |
10777 | Skolem mistakenly inferred that Cantor's conceptions were illusory [Tharp] |
10773 | The Löwenheim-Skolem property is a limitation (e.g. can't say there are uncountably many reals) [Tharp] |
10765 | Soundness would seem to be an essential requirement of a proof procedure [Tharp] |
10763 | Completeness and compactness together give axiomatizability [Tharp] |
10770 | If completeness fails there is no algorithm to list the valid formulas [Tharp] |
10771 | Compactness is important for major theories which have infinitely many axioms [Tharp] |
10772 | Compactness blocks infinite expansion, and admits non-standard models [Tharp] |
10764 | A complete logic has an effective enumeration of the valid formulas [Tharp] |
10768 | Effective enumeration might be proved but not specified, so it won't guarantee knowledge [Tharp] |
7424 | Saying games of truth were merely power relations would be a horrible exaggeration [Foucault] |
1490 | You would have to be very morally lazy to ignore criticisms of your own culture [Nagel] |
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] |
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] |