<i>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.</i><p>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&#x27;s not a map&#x2F;territory confusion. At best it is a territory&#x2F;territory confusion.<p>The description of the math will never be the math; but the correct math may in fact coincide with reality.<p>If a mathematical model of the world is completely accurate, then the math which it describes <i>is</i> the world. The world doesn&#x27;t have any properties which the math doesn&#x27;t and vice versa; it doesn&#x27;t &quot;do&quot; anything which the math doesn&#x27;t.