16 ideas
10757 | Henkin semantics has a second domain of predicates and relations (in upper case) [Rossberg] |
10751 | Second-order logic needs the sets, and its consequence has epistemological problems [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] |
4304 | Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham] |
4303 | The notion of substance lies at the heart of rationalist metaphysics [Cottingham] |
1757 | The Electra: she knows this man, but not that he is her brother [Eucleides, by Diog. Laertius] |
4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |
3028 | The chief good is unity, sometimes seen as prudence, or God, or intellect [Eucleides] |
4306 | For rationalists, it is necessary that effects be deducible from their causes [Cottingham] |