22 ideas
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] |
22868 | The value and truth of knowledge are measured by success in activity [Dewey] |
22865 | Habits constitute the self [Dewey] |
22465 | We see a moral distinction between doing and allowing to happen [Foot] |
22466 | We see a moral distinction between our aims and their foreseen consequences [Foot] |
22467 | Acts and omissions only matter if they concern doing something versus allowing it [Foot] |
22470 | A good moral system benefits its participants, and so demands reciprocity [Foot] |
22468 | Virtues can have aims, but good states of affairs are not among them [Foot] |
22871 | The good people are those who improve; the bad are those who deteriorate [Dewey] |
22469 | Some virtues imply rules, and others concern attachment [Foot] |
22876 | Democracy is the development of human nature when it shares in the running of communal activities [Dewey] |
22875 | Democracy is not just a form of government; it is a mode of shared living [Dewey] |
22874 | Individuality is only developed within groups [Dewey] |