I think you are missing a big piece of the equation my friend. You cannot talk about the above mentioned string theory without mentioning quantum physics. Quantum physics and the string theory are indeed inseparable, causing the user to be able to execute mathematical algorithms not conventionally allowed by the mathematical system. The example you mentioned above, the zero by zero division in a point system, for example, is allowed in a string theory, only and only if, the theorem is applied using quantum physics. Much work still needs to be done about this issue to truly understand it, however it is my opinion that truly understanding quantum physics will help us understand the mathematical dimension of this world. Quantum physics also alter the behavior of gravity under the loop quantum gravity theory. If applied properly, this could result in completely neutralizing the gravitational pull, and rendering a complete floating state. I find that this is quite a spectacular achieved and urge you to experiment with it. Let me you how it worked out.