The Axiom of Choice
From PESWiki
The axiom of choice is a mathematical "proof" which shows that you can choose that the axiom of choice is correct and you will receive no contradiction, or, contradictorily, you can choose it is not correct and also receive no contradictions. This same sort of (un)paradoxical truth shows up in the incompleteness theorem, whereby we can assume that the incompleteness theorem is itself complete and we receive the same amount of contradictions and consistencies according to the theorem as if we'd assumed that the incompleteness theorem itself is incomplete. To extrapolate, if the incompleteness theorem itself is complete then it must be inconsistent accrding to itsef, and if the incompleteness theorem is consistent than it must be incomplete accordin to itself. What this means is that if we want we can make the optimistic choice to understand that contradiction is ALWAYS contradictory, which means that it is ALWAYS consistent. This fact is what allows time to exist as CONSTANT CHANGE, the basis for perpetual motion or so-called free energy devices. In other words, perpetual motion would not exist if it were not for the axiom of choice and the fact that it causes constant symmetry breaking i.e. constant change.
