the.com/law of excluded middle

Every statement is true or false — the universe doesn't do maybe.

means A foundational logic principle stating that for any proposition, either it or its negation must be true — there's no third option.

from Traces back to Aristotle's writings on logic, where it appears alongside the law of non-contradiction as one of the classical 'laws of thought.' The Latin tag 'principium tertii exclusi' (principle of the excluded third) came later, from medieval logicians formalizing his work. It's stood mostly unchallenged for over two thousand years — though some modern logics (like intuitionistic logic) deliberately reject it, insisting that 'not provably false' isn't the same as 'true.'

formal statement
P or not-P, always true by definition
origin
formalized by Aristotle, haunted logicians since
rejected by
intuitionists, who demand proof, not just denial of denial
quantum wrinkle
superposition makes some physicists quietly nervous about it
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