What a great line! I wonder whether Matt considers differentiation to be just the projection of a curve on a manifold onto the manifold's tangent space, and therefore a trivial subset of a far more interesting subject, too.
If we ever settle that, we'll put a few dozen philosophers out of work, so maybe we shouldn't touch this problem for fear of making unemployment worse.
The amusing thing about quantum measurement is that virtually nobody who discusses it backs up his/her statements with experimental evidence...