Works Cited

By some miraculous insight Plato seems to have foreseen, on the basis of what must have been very sparse evidence indeed at that time that: on the one hand, mathematics must be studied and understood for its own sake, and one must not demand completely accurate applicability to the objects of physical experience; on the other hand, the workings of the actual external world can ultimately be understood only in the terms of precise mathematics--which means in terms of Plato's ideal world 'accessible via the intellect'!

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It is a striking fact that all the established departures from the Newtonian picture have been, in some fundamental way, associated with the behaviour of light... It is reasonable to speculate that Newton himself would have been ready to accept that deep problems for his picture of the world lay hidden in the mysterious behaviour of light.

Roger Penrose, The Emperor's New Mind