14 ideas
8616 | How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin] |
8617 | Statements that are consistent, cotenable and supportive are roughly true [Elgin] |
10365 | We might use 'facta' to refer to the truth-makers for facts [Mellor, by Schaffer,J] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
10284 | There are three different standard presentations of semantics [Hodges,W] |
10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
8618 | Coherence is a justification if truth is its best explanation (not skill in creating fiction) [Elgin] |
4785 | Causal statements relate facts (which are whatever true propositions express) [Mellor, by Psillos] |
8408 | Probabilistic causation says C is a cause of E if it increases the chances of E occurring [Mellor, by Tooley] |