[FOM] Real Numbers

[Sean C Stidd]

> For mathematicians, mathematical identity *is* isomorphism.

Taken at face value, this implies that the evens are the same as the odds
are the same as the naturals, that all geometric line segments and every
continuous sequence of real numbers and probabilities are the same
things, that sets and (sets and classes) and hypersets are the same
thing, etc.

Do we really need isomorphism to be central for the semantics or
metaphysics of mathematics on account of its undisputedly central
importance for contemporary mathematical practice? If so, why?