Not really. Proof by contradiction means starting with the negation of the hypothesis you're trying to prove and then reach an impossible conclusion, thereby proving your hypothesis was wrong.
It still involves a rigorous logical reasoning, not accepting something because you're running out of ideas.
If you're defining the technique as not using logic, merely running out of ideas, of course its not logical and wouldn't work in practice. I don't see how what you described as not being 'eliminating the impossible', personally.
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You gotta admit it works with mathematical proofs by contradiction.
Not really. Proof by contradiction means starting with the negation of the hypothesis you're trying to prove and then reach an impossible conclusion, thereby proving your hypothesis was wrong.
It still involves a rigorous logical reasoning, not accepting something because you're running out of ideas.
If you're defining the technique as not using logic, merely running out of ideas, of course its not logical and wouldn't work in practice. I don't see how what you described as not being 'eliminating the impossible', personally.
True, but rarely do mathematical proofs translate into physical proofs.