6 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. |
| 23903 | When we admire a work, we see ourselves as its creator [Weil] |
| Full Idea: It is impossible to admire a work of art without thinking oneself, in a way, its creator and without, in a sense, becoming so. | |
| From: Simone Weil (Letters [1940], 1940-03c) | |
| A reaction: This rings true for me. You almost see yourself making the brush strokes, or writing the phrase, or penning the chords. It is engagment which is essential for artistic experience. So all art lovers want to be artists? |
| 23901 | Relationships depend on equality, so unequal treatment kills them [Weil] |
| Full Idea: I conceive human relations solely on the plane of equality; therefore, so soon as someone begins to treat me as an inferior, human relations between us become impossible in my eyes. | |
| From: Simone Weil (Letters [1940], 1936-03) | |
| A reaction: Love that. This is precisely where equality starts. I fear that the problem is that people who don't treat others as equals don't want relationships with them, which particularly occurs in a competitive or hierarchical culture. |
| 8592 | Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker] |
| Full Idea: Because of the multidimensionality of space and unidimensionality of time, empty space is measurable in ways in which empty time necessarily is not. | |
| From: report of Jonathan Bennett (Kant's Analytic [1966], p.175) by Sydney Shoemaker - Time Without Change p.49 n4 | |
| A reaction: An interesting observation, which could have been used by Samuel Clarke in his attempts to prove absolute space to Leibniz. The point does not prove absolute space, of course, but it seems to make a difference. |
| 23904 | The cruelty of the Old Testament put me off Christianity [Weil] |
| Full Idea: I have always been kept away from Christianity by its ranking the Old Testament stories, so full of pitiless cruelty, as sacred texts. | |
| From: Simone Weil (Letters [1940], 1941-01) | |
| A reaction: After 1938 she was a devout and intense Christian, but of a highly individual and platonist kind. Her religion is dominated by love and beauty. |
| 23902 | I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil] |
| Full Idea: You attach great importance to the reasoning about immortality. I myself attach little. It is a factual question, which cannot be decided in advance by any reasoning. And what does it matter to us? | |
| From: Simone Weil (Letters [1940], 1937-04c) | |
| A reaction: I love 'what does it matter to us?'. The idea that our future bliss or misery depends on how we live now is an utterly wicked fiction, which derails attempts to live a proper life. |