| 单词 | Proof |
| 释义 | ProofA rigorous mathematical argument which unequivocally demonstrates the truth of a given Proposition. A mathematicalstatement which has been proven is called a Theorem. There is some debate among mathematicians as to just what constitutes a proof. The Four-Color Theorem is an example ofthis debate, since its ``proof'' relies on an exhaustive computer testing of many individual cases which cannot be verified``by hand.'' While many mathematicians regard computer-assisted proofs as valid, some purists do not. See also Paradox, Proposition, Theorem
Garnier, R. and Taylor, J. 100% Mathematical Proof. New York: Wiley, 1996. Solow, D. How to Read and Do Proofs: An Introduction to Mathematical Thought Process, 2nd ed. New York: Wiley, 1990. |
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