12373 | Something holds universally when it is proved of an arbitrary and primitive case [Aristotle] |
13342 | Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap] |
18812 | Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt] |
13681 | Logical consequence is marked by being preserved under all nonlogical substitutions [Quine, by Sider] |
13827 | Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz] |
14181 | Validity is where either the situation or the interpretation blocks true premises and false conclusion [Etchemendy, by Read] |
14180 | Etchemendy says fix the situation and vary the interpretation, or fix interpretations with varying situations [Etchemendy, by Read] |
10260 | Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro] |
17286 | Logical consequence is verification by a possible world within a truth-set [Fine,K] |
10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
14188 | Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read] |
14182 | If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read] |
14183 | Maybe arguments are only valid when suppressed premises are all stated - but why? [Read] |
13682 | Maybe logical consequence is impossibility of the premises being true and the consequent false [Sider] |
13679 | Maybe logical consequence is more a matter of provability than of truth-preservation [Sider] |
13678 | The most popular account of logical consequence is the semantic or model-theoretic one [Sider] |
13680 | Maybe logical consequence is a primitive notion [Sider] |
10970 | A theory of logical consequence is a conceptual analysis, and a set of validity techniques [Read] |
10984 | Logical consequence isn't just a matter of form; it depends on connections like round-square [Read] |
15029 | Modal accounts of logical consequence are simple necessity, or essential use of logical words [Sider] |
18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
11061 | Intensional consequence is based on the content of the concepts [Hanna] |
13288 | Consequence is truth-preserving, either despite substitutions, or in all interpretations [Koslicki] |
18813 | Logical consequence is a relation that can extended into further statements [Rumfitt] |
12195 | Soundness in argument varies with context, and may be achieved very informally indeed [Rumfitt] |
12199 | There is a modal element in consequence, in assessing reasoning from suppositions [Rumfitt] |
12201 | We reject deductions by bad consequence, so logical consequence can't be deduction [Rumfitt] |