5 ideas
| 17950 | The logos enables us to track one particular among a network of objects [Nehamas] |
| Full Idea: The logos (the definition) is a summary statement of the path within a network of objects that one will have to follow in order to locate a particular member of that network. | |
| From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234) | |
| A reaction: I like this because it confirms that Plato (as well as Aristotle) was interested in the particulars rather than in the kinds (which I take to be general truths about particulars). |
| 17951 | A logos may be short, but it contains reference to the whole domain of the object [Nehamas] |
| Full Idea: A thing's logos, apparently short as it may be, is implicitly a very rich statement since it ultimately involves familiarity with the whole domain to which that particular object belongs. | |
| From: Alexander Nehamas (Episteme and Logos in later Plato [1984], p.234) | |
| A reaction: He may be wrong that the logos is short, since Aristotle (Idea 12292) says a definition can contain many assertions. |
| 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reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date.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. |
| 6017 | Nomos is king [Pindar] |
| Full Idea: Nomos is king. | |
| From: Pindar (poems [c.478 BCE], S 169), quoted by Thomas Nagel - The Philosophical Culture | |
| A reaction: This seems to be the earliest recorded shot in the nomos-physis wars (the debate among sophists about moral relativism). It sounds as if it carries the full relativist burden - that all that matters is what has been locally decreed. |