5 ideas
| 18244 | I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind] |
| Full Idea: Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power. | |
| From: Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4 | |
| A reaction: Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects. |
| 7777 | We accept a metaphor when we see the sentence is false [Davidson] |
| Full Idea: It is only when a sentence is taken to be false that we accept it as a metaphor. | |
| From: Donald Davidson (What Metaphors Mean [1978], p.40) | |
| A reaction: This strikes me as a very nice and true generalisation, even though Davidson mentions "no man is an island" as a counterexample. We thirst for meaning, and switch to a second meaning when the first one looks peculiar. |
| 7775 | Understanding a metaphor is a creative act, with no rules [Davidson] |
| Full Idea: Understanding a metaphor is as much a creative endeavour as making a metaphor, and as little guided by rules. | |
| From: Donald Davidson (What Metaphors Mean [1978], p.29) | |
| A reaction: This is good news for literature studies courses. Davidson's point is that the metaphor itself only gives you a literal meaning, so it doesn't tell you how to interpret it. It seems an attractive proposal. |
| 7776 | Metaphors just mean what their words literally mean [Davidson] |
| Full Idea: Metaphors mean what the words, in their most literal interpretation, mean, and nothing more. | |
| From: Donald Davidson (What Metaphors Mean [1978], p.30) | |
| A reaction: This pronouncement must be the result of Davidson anguishing over the truth conditions for metaphors, which are usually either taken to have a 'metaphorical meaning', or to be abbreviated similes. He solved his problem at a stroke! Plausible. |
| 7825 | The politics of Leibniz was the reunification of Christianity [Stewart,M] |
| Full Idea: The politics of Leibniz may be summed up in one word: theocracy. The specific agenda motivating much of his work was to reunite the Protestant and Catholic churches | |
| From: Matthew Stewart (The Courtier and the Heretic [2007], Ch. 5) | |
| A reaction: This would be a typical project for a rationalist philosopher, who thinks that good reasoning will gradually converge on the one truth. |