3 ideas
| 13007 | Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz] |
| Full Idea: Archimedes gave a sort of definition of 'straight line' when he said it is the shortest line between two points. | |
| From: report of Archimedes (fragments/reports [c.240 BCE]) by Gottfried Leibniz - New Essays on Human Understanding 4.13 | |
| A reaction: Commentators observe that this reduces the purity of the original Euclidean axioms, because it involves distance and measurement, which are absent from the purest geometry. |
| 12693 | A body is that which exists in space [Leibniz] |
| Full Idea: A body is defined as that which exists in space. | |
| From: Gottfried Leibniz (Confessio naturae contra atheistas [1669], A6.1.490), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1 | |
| A reaction: A very early view. Leibniz notes that this tells you nothing about shape and motion. |
| 15666 | To understand language is to know how to use it to reach shared understandings [Habermas] |
| Full Idea: One simply would not know what it is to understand the meaning of a linguistic expression if one did not know how one could make use of it in order to reach understanding with someone about something. | |
| From: Jürgen Habermas (On the Pragmatics of Communications [1998], p.228), quoted by James Gordon Finlayson - Habermas Ch.3:34 | |
| A reaction: Not offered as a 'theory of meaning', and certainly plausible. Compare a hammer, though: a proper understanding is that it is used to exert a sharp force, but you can take in its structure and nature before you spot its usage. |