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. |
| 15282 | Facts should be deducible from the theory and initial conditions, and prefer the simpler theory [Osiander, by Harré/Madden] |
| Full Idea: The two positivist criteria for a scientific theory are that the facts must be deducible from the theory together with initial conditions, and if there is more than one theory the simplest must be chosen. | |
| From: report of Andreas Osiander (Preface to 'De Revolutionibus' [1543]) by Harré,R./Madden,E.H. - Causal Powers 7.I | |
| A reaction: Harré and Madden cite this as a famous early statement of positivism. It seems to combine Hempel and Lewis very concisely. Wrong, of course. It does not, though, appear to mention 'laws'. |
| 18665 | Moral problems are responsibility conflicts, needing contextual and narrative attention to relationships [Gilligan] |
| Full Idea: The moral problem arises from conflicting responsibilities rather than competing rights, and its resolution needs contextual and narrative thinking. This morality as care centers around the understanding of responsibility and relationships. | |
| From: Carol Gilligan (In a Different Voice [1982], p.19), quoted by Will Kymlicka - Contemporary Political Philosophy (1st edn) | |
| A reaction: [Kymlicka cites her as a key voice in feminist moral philosophy] I like all of this, especially the very original thought (to me, anyway) that moral thinking should be 'narrative' in character. |