[kazinator]

The line segment representing the radius of a circle perfectly describes a circle. That does not mean a line segment is the same as a circle.

Aha, but there is a territory here: the abstract circle. Now suppose we equate that territory with another territory: something in the real world. Then we have a description of a circle (the map), but two different territories. If we say those are the same, it's not a map/territory confusion. At best it is a territory/territory confusion.

The description of the math will never be the math; but the correct math may in fact coincide with reality.

If a mathematical model of the world is completely accurate, then the math which it describes is the world. The world doesn't have any properties which the math doesn't and vice versa; it doesn't "do" anything which the math doesn't.