22 ideas
18543 | Do aesthetic reasons count as reasons, if they are rejectable without contradiction? [Scruton] |
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
18542 | Defining truth presupposes that there can be a true definition [Scruton] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
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] |
18541 | Beauty (unlike truth and goodness) is questionable as an ultimate value [Scruton] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
18554 | Prostitution is wrong because it hardens the soul, since soul and body are one [Scruton] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |