Never Forget Recursion

All problems are solved through recursion. Through proper recursion, one can see how to derive problems.

Lets say that one starts logic by suggesting that knowledge results from applying deduction to sensation. Through sensation, one is presented with axioms. Through deduction, one can use the axioms. Simple, right.

No. The problem arises when one develops a postulate relating how to develop postulates. This is the first recursion. This makes thinking hard. To make empirical judgments, one must use a method that is also based on empirical judgments. This produces a mathematical situation where probabilities are based off of probabilities, which in turn are also based off of other probabilities, ad infinitum.