32 ideas
21844 | The history of philosophy is an agent of power: how can you think if you haven't read the great names? [Deleuze] |
21849 | Thought should be thrown like a stone from a war-machine [Deleuze] |
21845 | Philosophy aims to become the official language, supporting orthodoxy and the state [Deleuze] |
21839 | When I meet objections I just move on; they never contribute anything [Deleuze] |
21841 | We must create new words, and treat them as normal, and as if designating real things. [Deleuze] |
21842 | Don't assess ideas for truth or justice; look for another idea, and establish a relationship with it [Deleuze] |
21850 | Dualisms can be undone from within, by tracing connections, and drawing them to a new path [Deleuze] |
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] |
21838 | Before we seek solutions, it is important to invent problems [Deleuze] |
21847 | Before Being there is politics [Deleuze] |
21840 | A meeting of man and animal can be deterritorialization (like a wasp with an orchid) [Deleuze] |
21843 | People consist of many undetermined lines, some rigid, some supple, some 'lines of flight' [Deleuze] |
536 | We should follow the law in public, and nature in private [Antiphon] |
1557 | To gain the greatest advantage only treat law as important when other people are present [Antiphon] |
540 | The way you spend your time will form your character [Antiphon] |
539 | Nothing is worse for mankind than anarchy [Antiphon] |
21848 | Some lines (of flight) are becomings which escape the system [Deleuze] |