32 ideas
18776 | Contextual definitions eliminate descriptions from contexts [Linsky,B] |
21704 | 'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B] |
21705 | Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B] |
18774 | Definite descriptions, unlike proper names, have a logical structure [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] |
472 | No things would be clear to us as entity or relationships unless there existed Number and its essence [Philolaus] |
9758 | To make sense of personal identity, focus on agency rather than experience [Korsgaard] |
9757 | A person viewed as an agent makes no sense without its own future [Korsgaard] |
9759 | Theory of action focuses on explanation and prediction; practical action on justification and choice [Korsgaard] |
22511 | Some reasonings are stronger than we are [Philolaus] |
18678 | Maybe final value rests on the extrinsic property of being valued by a rational agent [Korsgaard, by Orsi] |
18225 | If we can't reason about value, we can reason about the unconditional source of value [Korsgaard] |
18228 | An end can't be an ultimate value just because it is useless! [Korsgaard] |
9760 | Self-concern may be a source of pain, or a lack of self-respect, or a failure of responsibility [Korsgaard] |
18224 | Goodness is given either by a psychological state, or the attribution of a property [Korsgaard] |
9761 | Personal concern for one's own self widens out into concern for the impersonal [Korsgaard] |
18233 | Contemplation is final because it is an activity which is not a process [Korsgaard] |
18226 | For Aristotle, contemplation consists purely of understanding [Korsgaard] |
1518 | Everything must involve numbers, or it couldn't be thought about or known [Philolaus] |
1519 | Harmony must pre-exist the cosmos, to bring the dissimilar sources together [Philolaus] |
473 | There is no falsehood in harmony and number, only in irrational things [Philolaus] |
469 | Existing things, and hence the Cosmos, are a mixture of the Limited and the Unlimited [Philolaus] |
476 | Self-created numbers make the universe stable [Philolaus] |
1787 | Philolaus was the first person to say the earth moves in a circle [Philolaus, by Diog. Laertius] |