15 ideas
| 10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
| 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] |
| 10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
| 10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
| 6027 | From the fact that some men die, we cannot infer that they all do [Philodemus] |
| 22241 | Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus] |