5 ideas
| 10355 | Facts can't make claims true, because they are true claims [Brandom, by Kusch] |
| Full Idea: Brandom says that facts do not make claims true, because facts simply are true claims. | |
| From: report of Robert B. Brandom (Making It Explicit [1994], p.327) by Martin Kusch - Knowledge by Agreement Ch.18 | |
| A reaction: Nice. Notoriously, anyone defending the correspondence theory of truth in terms of facts had better say what they mean by a 'fact'. Personally I take a fact to be a non-verbal, mind-independent situation in the world, so I disagree with Brandom. |
| 12427 | All of mathematics is properties of the whole numbers [Kronecker] |
| Full Idea: All the results of significant mathematical research must ultimately be expressible in the simple forms of properties of whole numbers. | |
| From: Leopold Kronecker (works [1885], Vol 3/274), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 09.5 | |
| A reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date. Natural numbers have a special status, but not sufficient to support this claim. |
| 10091 | God made the integers, all the rest is the work of man [Kronecker] |
| Full Idea: God made the integers, all the rest is the work of man. | |
| From: Leopold Kronecker (works [1885]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Intro | |
| A reaction: This famous remark was first quoted in Kronecker's obituary. A response to Dedekind, it seems. See Idea 10090. Did he really mean that negative numbers were the work of God? We took a long time to spot them. |
| 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). |
| 7765 | The use of a sentence is its commitments and entitlements [Brandom, by Lycan] |
| Full Idea: Brandom develops a particular conception of 'use', according to which a sentence's use is the set of commitments and entitlements associated with public utterance of that sentence. | |
| From: report of Robert B. Brandom (Articulating Reasons: Intro to Inferentialism [2000]) by William Lycan - Philosophy of Language Ch.6 | |
| A reaction: It immediately strikes me that a sentence could only have commitments and entitlements if it already had a meaning. However, the case of money shows how there might be nothing more to a thing's significance than its entitlements. |