De toepasbaarheid van wiskunde:
Waarom kan de toepasbaarheid van wiskunde niet gewoon dom toeval zijn?
Zie ook: `Does mathematics point to God? William Lane Craig vs Daniel Came´ en `Is the Applicability of Mathematics Necessary?´
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"The conundrum of the applicability of mathematics to the physical world is one that comes up continually in the professional literature and seems to be a matter of genuine bafflement. If the puzzle were resolved by simply saying that the physical world must of logical necessity have the mathematical structure it does, the question would have been dropped long ago. But both philosophers and physicists continue to express their bewilderment. Indeed, ... we know that space (or spacetime) does not have to have the geometrical structure it does. Prior to Riemann, it was thought that Euclidean geometry was necessary, but the discovery of non-Euclidean geometries has made it a matter of empirical discovery what sort of geometry characterizes the physical world. |