16 ideas
22396 | We take courage, temperance, wisdom and justice as moral, but Aristotle takes wisdom as intellectual [Foot] |
22397 | Wisdom is open to all, and not just to the clever or well trained [Foot] |
14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
10833 | Many concepts can only be expressed by second-order logic [Boolos] |
4871 | A thing is free if it acts only by the necessity of its own nature [Spinoza] |
22402 | Most people think virtues can be displayed in bad actions [Foot] |
23145 | Virtues are intended to correct design flaws in human beings [Foot, by Driver] |
22401 | Actions can be in accordance with virtue, but without actually being virtuous [Foot] |
22398 | Virtues are corrective, to resist temptation or strengthen motivation [Foot] |
22403 | Temperance is not a virtue if it results from timidity or excessive puritanism [Foot] |
22400 | Courage overcomes the fears which should be overcome, and doesn't overvalue personal safety [Foot] |