27 ideas
22338 | An unexamined life can be virtuous [Murdoch] |
22337 | Philosophy must keep returning to the beginning [Murdoch] |
23563 | Philosophy moves continually between elaborate theories and the obvious facts [Murdoch] |
13838 | A decent modern definition should always imply a semantics [Hacking] |
13833 | 'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking] |
13834 | Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking] |
13835 | Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking] |
13845 | The various logics are abstractions made from terms like 'if...then' in English [Hacking] |
13840 | First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking] |
13844 | A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking] |
13842 | Second-order completeness seems to need intensional entities and possible worlds [Hacking] |
13837 | With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking] |
13839 | Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking] |
13843 | If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking] |
6215 | 'Contingent' means that the cause is unperceived, not that there is no cause [Hobbes] |
22341 | Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch] |
22347 | Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch] |
22339 | Love is a central concept in morals [Murdoch] |
22348 | Ordinary human love is good evidence of transcendent goodness [Murdoch] |
22343 | If I attend properly I will have no choices [Murdoch] |
22349 | Art trains us in the love of virtue [Murdoch] |
22340 | It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch] |
22350 | Only trivial virtues can be possessed on their own [Murdoch] |
22346 | Moral reflection and experience gradually reveals unity in the moral world [Murdoch] |
22342 | Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch] |
22351 | Only a philosopher might think choices create values [Murdoch] |
22345 | Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch] |