“It isn't a contradiction at all. Proof of AGW, like much in this universe, is not an absolute truth. It is a proof by exhaustion: Basically you keep testing natural explanations. The more you eliminate, the more likely it is that AGW is real”
That is the most ridiculous statement I’ve seen or heard for a very long time. You can say the exact same thing about any number of other possible causes for the same outcome. Yet they all can’t be right. Also, proof by exhaustion is a mathematical term where the proof is established by working through EVERY possible case and finding no contradictions.
Proof by exhaustion in a non-mathematical sense is invalid. Even in mathematics, proof by exhaustion can be invalid.
Example: The statement that 'Between every pair of square numbers there is at least one prime number would be impossible to prove by looking at every possibility.
But we are not discussing a mathematical statement here. So your technique for proving agw is invalid.