Evidence or demonstrations that establish the truth or validity of something, particularly in mathematics, logic, or legal contexts. Can also refer to test prints in publishing or photography.
From Old French 'prove' via Latin 'probare' meaning 'to test' or 'approve'. Originally meant a test or trial, evolving to mean evidence that demonstrates truth through rigorous examination or logical demonstration.
Mathematical proofs are among humanity's most elegant intellectual achievements, with some ancient proofs like Euclid's demonstration of infinite primes still taught exactly as written 2300 years ago. A single proof can illuminate universal truths that transcend culture and time.
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