27 ideas
| 1749 | If all laws were abolished, philosophers would still live as they do now [Aristippus elder] |
| 18543 | Do aesthetic reasons count as reasons, if they are rejectable without contradiction? [Scruton] |
| 18542 | Defining truth presupposes that there can be a true definition [Scruton] |
| 10751 | Second-order logic needs the sets, and its consequence has epistemological problems [Rossberg] |
| 10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
| 10759 | There are at least seven possible systems of semantics for second-order logic [Rossberg] |
| 10753 | Logical consequence is intuitively semantic, and captured by model theory [Rossberg] |
| 10752 | Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg] |
| 10754 | In proof-theory, logical form is shown by the logical constants [Rossberg] |
| 10756 | A model is a domain, and an interpretation assigning objects, predicates, relations etc. [Rossberg] |
| 10758 | If models of a mathematical theory are all isomorphic, it is 'categorical', with essentially one model [Rossberg] |
| 10761 | Completeness can always be achieved by cunning model-design [Rossberg] |
| 10755 | A deductive system is only incomplete with respect to a formal semantics [Rossberg] |
| 18546 | The pleasure taken in beauty also aims at understanding and valuing [Scruton] |
| 18550 | Art gives us imaginary worlds which we can view impartially [Scruton] |
| 18544 | Maybe 'beauty' is too loaded, and we should talk of fittingness or harmony [Scruton] |
| 18553 | Beauty shows us what we should want in order to achieve human fulfilment [Scruton] |
| 18556 | Beauty is rationally founded, inviting meaning, comparison and self-reflection [Scruton] |
| 18548 | Natural beauty reassures us that the world is where we belong [Scruton] |
| 18551 | Croce says art makes inarticulate intuitions conscious; rival views say the audience is the main concern [Scruton] |
| 3558 | Only the Cyrenaics reject the idea of a final moral end [Aristippus elder, by Annas] |
| 18541 | Beauty (unlike truth and goodness) is questionable as an ultimate value [Scruton] |
| 5835 | The road of freedom is the surest route to happiness [Aristippus elder, by Xenophon] |
| 3018 | People who object to extravagant pleasures just love money [Aristippus elder, by Diog. Laertius] |
| 1751 | Pleasure is the good, because we always seek it, it satisfies us, and its opposite is the most avoidable thing [Aristippus elder, by Diog. Laertius] |
| 1755 | Errors result from external influence, and should be corrected, not hated [Aristippus elder, by Diog. Laertius] |
| 18554 | Prostitution is wrong because it hardens the soul, since soul and body are one [Scruton] |