My real point is that the logical follows in actual historical fact from the physical, rather than being some sort of special knowledge that can be deduced without reference to anything physical.

If nothing else this is a really well phrased statement of position. Maybe I'm just committing the philosopher's fallacy (deciding things are necessary because I'm not creative enough to think up alternatives) but I really just can't see what it would mean for there to be a world in which A didn't = A, in which the middle wasn't excluded, in which triangles are round, etc. What criteria are you using to decide on one view over the other?