All the math is accurate, we just distilled the parts we like from the parts we don't like. Regarding accuracy let me try again, it is accurate because it is i

All the math is accurate, we just distilled the parts we like from the parts we don't like. Regarding accuracy let me try again, it is accurate because it is internally consistent. However notion of two apples being 'same' (e.g. completely interchangeable, satisfying the identity) is silly in absolute terms since laws of nature are much more complex.