display all the ideas for this combination of texts
2 ideas
| 11115 | 'All horses' either picks out the horses, or the things which are horses [Jubien] |
| Full Idea: Two ways to see 'all horses are animals' are as picking out all the horses (so that it is a 'horse-quantifier'), ..or as ranging over lots of things in addition to horses, with 'horses' then restricting the things to those that satisfy 'is a horse'. | |
| From: Michael Jubien (Analyzing Modality [2007], 2) | |
| A reaction: Jubien says this gives you two different metaphysical views, of a world of horses etc., or a world of things which 'are horses'. I vote for the first one, as the second seems to invoke an implausible categorical property ('being a horse'). Cf Idea 11116. |
| 4810 | Valid deduction is monotonic - that is, it remains valid if further premises are added [Psillos] |
| Full Idea: Valid deductive arguments have the property of monotonicity; if the conclusion Q follows from the premises P, then it will also follow if further premises P* are added to P. | |
| From: Stathis Psillos (Causation and Explanation [2002], §9.2.1) | |
| A reaction: For perversity's sake we could add a new premise which contradicted one of the original ones ('Socrates is a god'). Or one premise could be 'I believe..', and the new one could show that the belief was false. Induction is non-monotonic. |