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Full Idea
Mathematics can show that under a broad range of conditions, something initially surprising must occur (e.g. the hexagonal structure of honeycomb).
Gist of Idea
Mathematics can show why some surprising events have to occur
Source
Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 6.3.2)
Book Ref
Colyvan,Mark: 'An Introduction to the Philosophy of Mathematics' [CUP 2012], p.115
4312 | To understand a phenomenon, we must understand why it is necessary, not merely contingent [Spinoza, by Cottingham] |
5484 | Essentialists don't infer from some to all, but from essences to necessary behaviour [Ellis] |
15558 | A good explanation is supposed to show that the event had to happen [Lewis] |
16812 | An explanation shows why it was necessary that the effect occurred [Lipton] |
17938 | Mathematics can show why some surprising events have to occur [Colyvan] |