20 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] |
19520 | Evidentialism is not axiomatic; the evidence itself inclines us towards evidentialism [Conee] |
19521 | If pure guesses were reliable, reliabilists would have to endorse them [Conee] |
19522 | More than actual reliability is needed, since I may mistakenly doubt what is reliable [Conee] |
19523 | Reliabilism is poor on reflective judgements about hypothetical cases [Conee] |
19555 | People begin to doubt whether they 'know' when the answer becomes more significant [Conee] |
19557 | Maybe low knowledge standards are loose talk; people will deny that it is 'really and truly' knowledge [Conee] |
19556 | Maybe knowledge has fixed standards (high, but attainable), although people apply contextual standards [Conee] |
12890 | That standards vary with context doesn't imply different truth-conditions for judgements [Conee] |
12892 | Maybe there is only one context (the 'really and truly' one) for serious discussions of knowledge [Conee] |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |