display all the ideas for this combination of texts
2 ideas
11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
Full Idea: If a designated conclusion follows from the premisses, but the argument involves two howlers which cancel each other out, then the moral is that the path an argument takes from premisses to conclusion does matter to its logical evaluation. | |
From: Ian Rumfitt ("Yes" and "No" [2000], II) | |
A reaction: The drift of this is that our view of logic should be a little closer to the reasoning of ordinary language, and we should rely a little less on purely formal accounts. |
22609 | Philosophers accepted first-order logic, because they took science to be descriptive, not explanatory [Ingthorsson] |
Full Idea: First-order predicate logic was accepted so easily by the philosophical community …because philosophy was already geared toward a neo-Humean view of both science and philosophy as primarily descriptive rather than explanatory. | |
From: R.D. Ingthorsson (A Powerful Particulars View of Causation [2021], 1.8) | |
A reaction: The point, I think, is that explanatory thinking needs second-order logic, where the properties (or powers) are players in the game, and not just adjuncts of the catalogue of objects. I find this idea mind-expanding. (That's a good thing). |