46 ideas
23064 | So-called wisdom is just pondering things instead of acting [Cioran] |
23072 | Systems are the worst despotism, in philosophy and in life [Cioran] |
23075 | A text explained ceases to be a text [Cioran] |
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] |
23066 | Negation doesn't arise from reasoning, but from deep instincts [Cioran] |
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] |
23077 | The word 'being' is very tempting, but in fact means nothing at all [Cioran] |
23068 | People who really believe anti-realism don't bother to prove it [Cioran] |
23073 | Convictions are failures to study anything thoroughly [Cioran] |
23078 | Opinions are fine, but having convictions means something has gone wrong [Cioran] |
2584 | Lobotomised patients can cease to care about a pain [Block] |
2582 | A brain looks no more likely than anything else to cause qualia [Block] |
23076 | If people always acted without words we would take them for robots [Cioran] |
2574 | Behaviour requires knowledge as well as dispositions [Block] |
2576 | In functionalism, desires are internal states with causal relations [Block] |
2575 | Functionalism is behaviourism, but with mental states as intermediaries [Block] |
2583 | You might invert colours, but you can't invert beliefs [Block] |
2578 | Could a creature without a brain be in the right functional state for pain? [Block] |
2585 | Not just any old functional network will have mental states [Block] |
2586 | In functionalism, what are the special inputs and outputs of conscious creatures? [Block] |
2579 | Physicalism is prejudiced in favour of our neurology, when other systems might have minds [Block] |
2577 | Simple machine-functionalism says mind just is a Turing machine [Block] |
2580 | A Turing machine, given a state and input, specifies an output and the next state [Block] |
23065 | If only we could write like a reptile, of endless sensations and no concepts! [Cioran] |
2581 | Intuition may say that a complex sentence is ungrammatical, but linguistics can show that it is not [Block] |
23071 | We could only be responsible if we had consented before birth to who we are [Cioran] |
23070 | We morally dissolve if we spend time with excessive beauty [Cioran] |
23074 | In anxiety people cling to what reinforces it, because it is a deep need [Cioran] |
23069 | Fear cures boredom, because it is stronger [Cioran] |
23062 | It is better to watch the hours pass, than trying to fill them [Cioran] |
23067 | Suicide is pointless, because it always comes too late [Cioran] |
23063 | The first man obviously found paradise unendurable [Cioran] |