 In the context of philosophy of information the incompleteness of mathematics is a direct consequence of the rich possibilities of the natural numbers to code information. In principle any deterministic formal system can be represented in terms of elementary arithmetical functions. Consequently, If such a system itself contains arithmetic as a sub system, it contains a infinite chain of endomorphisms (i.e., images of itself). Such a system is capable of reasoning about its own functions and proofs but since it is consistent (and thus the construction of paradoxes is not possible within the system) it is by necessity incomplete. 