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2 ideas
| 17937 | Mathematical generalisation is by extending a system, or by abstracting away from it [Colyvan] |
| Full Idea: One type of generalisation in mathematics extends a system to go beyond what is was originally set up for; another kind involves abstracting away from some details in order to capture similarities between different systems. | |
| From: Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 5.2.2) |
| 20131 | We can cultivate our drives, of anger, pity, curiosity, vanity, like a gardener, with good or bad taste [Nietzsche] |
| Full Idea: One can dispose of one's drives like a gardener and, though few know it, cultivate the shoots of anger, pity, curiosity, vanity as productively and profitably as a beautiful fruit tree on a trellis; one can do it with the good or bad taste of a gardener. | |
| From: Friedrich Nietzsche (Dawn (Daybreak) [1881], 560) | |
| A reaction: This sort of existentialism I find very appealing. You take what you are given, the cards you are dealt, and try to make something nice out of it. This is quite different from the crazy freedom of later existentialists. |