23 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] |
7352 | Jesus said learning was unnecessary, and only the spirit of the Law was needed [Jesus, by Johnson,P] |
20422 | The experience of expression and communication are intermingled in art [Croce] |
6289 | Love your enemies [Jesus] |
6292 | Love thy neighbour as thyself [Jesus] |
5356 | Treat others as you would have them treat you [Jesus] |
6286 | Blessed are the merciful: for they shall obtain mercy [Jesus] |
6290 | Except ye become as little children, ye shall not enter heaven [Jesus] |
6287 | If you lust after a woman, you have committed adultery [Jesus] |
6285 | Blessed are the meek; for they shall inherit the earth [Jesus] |
6288 | Don't resist evil, but turn the other cheek [Jesus] |
6293 | It is almost impossible for the rich to go to heaven [Jesus] |
6291 | No one is good except God [Jesus] |
7351 | Jesus turned the ideas of Hillel into a theology reduced to its moral elements [Jesus, by Johnson,P] |