4 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. |
| 15785 | Our commitments are to an 'ontology', but also to an 'ideology', or conceptual system [Hintikka] |
| Full Idea: We must distinguish between what we are committed to existing in the actual world or a possible world ('ontology'), and what we are committed to as a part of our ways of dealing with the world conceptually, as a part of our conceptual system ('ideology'). | |
| From: Jaakko Hintikka (Semantics for Propositional Attitudes [1969], p.95), quoted by William Lycan - The Trouble with Possible Worlds 02 | |
| A reaction: I think this is the most illuminating idea I have read on the subject of ontological commitment. I'm fighting for the idea that what we think is true should be kept separate from what we think exists. Ideology is a nice addition to the mix. |
| 15786 | Commitment to possible worlds is part of our ideology, not part of our ontology [Hintikka] |
| Full Idea: Quantification over members of one particular world is a measure of ideology, quantification that crosses possible worlds is often a measure of ideology. | |
| From: Jaakko Hintikka (Semantics for Propositional Attitudes [1969], p.95), quoted by William Lycan - The Trouble with Possible Worlds 02 | |
| A reaction: I like this. See Idea 15785 for the underlying distinction. It leaves the question open of what we might mean by 'ideological commitment'. |
| 7319 | If we give up synonymy, we have to give up significance, meaning and sense [Grice/Strawson] |
| Full Idea: If we are to give up the notion of sentence-synonymy as senseless, we must give up the notion of sentence-significance (of a sentence having meaning) as senseless too. But then perhaps we might as well give up the notion of sense. | |
| From: P Grice / P Strawson (In Defense of a Dogma [1956]), quoted by Alexander Miller - Philosophy of Language 4.2 | |
| A reaction: This is very prescient. Nearly all American philosophers seem to embrace Quine's view of analyticity (the philosophical equivalent of Americans putting a man on the moon?), but have they digested the implications (which Quine later largely admits)? |