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In the first place Maxwell's equations of the electromagnetic field are not invariant for the transformations of the orthodox formulae; whereas they are invariant for the transformations of the formulae arising from the third of the four cases mentioned above, provided that the velocity c is identified with a famous electromagnetic constant quantity.
If triangles and genera are of our own production we can keep them invariant. But relations between invariant objects will themselves be invariant. Such relations cannot be happenings, for by hypothesis nothing shall happen to the objects. No one so far seems to have noticed my suggestion, and I am too ignorant of the development of mathematics to feel very confident of my own view.
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