3 ideas
| 15873 | Laws of nature are just records of regularities and correlations, with concepts to make recording them easier [Mach, by Harré] |
| Full Idea: For Mach, the laws of nature are simply the compendious record of sensory regularities, correlations of elements. Any additional concepts are no more than symbols or devices for the convenient recording of general sensory patterns. | |
| From: report of Ernst Mach (Popular Scientific Lectures [1894], pp.201-5) by Rom Harré - Laws of Nature 2 | |
| A reaction: Mach is the high priest of scientific positivism, which is really just hard-line empiricism. |
| 16861 | A false theory could hardly rival the explanatory power of natural selection [Darwin] |
| Full Idea: It can hardly be supposed that a false theory would explain, in so satisfactory a manner as does the theory of natural selection, the several large classes of facts above specified. | |
| From: Charles Darwin (The Origin of the Species [1859], p.476), quoted by Peter Lipton - Inference to the Best Explanation (2nd) 11 'The scientific' | |
| A reaction: More needs to be said, since the whims of God could explain absolutely everything (in a manner that would be somehow less that fully satisfying to the enquiring intellect). |
| 9141 | Abstraction theories build mathematics out of second-order equivalence principles [Cook/Ebert] |
| Full Idea: A theory of abstraction is any account that reconstructs mathematical theories using second-order abstraction principles of the form: §xFx = §xGx iff E(F,G). We ignore first-order abstraction principles such as Frege's direction abstraction. | |
| From: R Cook / P Ebert (Notice of Fine's 'Limits of Abstraction' [2004], 1) | |
| A reaction: Presumably part of the neo-logicist programme, which also uses such principles. The function § (extension operator) 'provides objects corresponding to the argument concepts'. The aim is to build mathematics, rather than the concept of a 'rabbit'. |