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Reconciling Undecidability with the Law of Excluded Middle

Classical mathematics relies on the law of excluded middle, but the existence of undecidable statements, such as the axiom of choice and the continuum hypothesis, seems to contradict this principle. This inconsistency raises a fundamental question about how to reconcile these two aspects of mathematical logic. The challenge lies in understanding how classical mathematicians address this apparent contradiction.

Mathematics & logic, Mathematics, Mathematical Logic