24 ideas
7893 | Our life is the creation of our mind [Anon (Dham)] |
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
18270 | Choice suggests that intensions are not needed to ensure classes [Coffa] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
21727 | Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B] |
21719 | Extensionalism means what is true of a function is true of coextensive functions [Linsky,B] |
21723 | The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B] |
21721 | Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B] |
21703 | Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B] |
21714 | The ramified theory subdivides each type, according to the range of the variables [Linsky,B] |
21713 | Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B] |
21715 | For those who abandon logicism, standard set theory is a rival option [Linsky,B] |
21729 | Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B] |
7898 | The world is just the illusion of an appearance [Anon (Dham)] |
18263 | The semantic tradition aimed to explain the a priori semantically, not by Kantian intuition [Coffa] |
18272 | Platonism defines the a priori in a way that makes it unknowable [Coffa] |
18266 | Mathematics generalises by using variables [Coffa] |
7894 | Hate is conquered by love [Anon (Dham)] |
7899 | Even divine pleasure will not satisfy the wise, as it is insatiable, and leads to pain [Anon (Dham)] |
7896 | The foolish gradually fill with evil, like a slowly-filled water-jar [Anon (Dham)] |
7897 | The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)] |
7895 | Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)] |
18279 | Relativity is as absolutist about space-time as Newton was about space [Coffa] |
7900 | Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)] |