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就数学是否科学问题答实话实说先生 -- 芦笛 - (1513 Byte) 2004-8-19 周四, 下午9:52 (1078 reads) |
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作者：Anonymous 在 罕见奇谈 发贴, 来自 http://www.hjclub.org
See: MathWorld Website http://mathworld.wolfram.com/
Theorem
A statement which can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.
According to the Nobel Prize-winning physicist Richard Feynman (1985), any theorem, no matter how difficult to prove in the first place, is viewed as "trivial" by mathematicians once it has been proven. Therefore, there are exactly two types of mathematical objects: trivial ones, and those which have not yet been proven.
The late mathematician P. Erdos described a mathematician as "a machine for turning coffee into theorems" (Hoffman 1998, p. 7). R. Graham has estimated that upwards of mathematical theorems are published each year (Hoffman 1998, p. 204).
See Also:
Axiom, Axiomatic System, Corollary, Deep Theorem, Porism, Lemma, Metatheorem, Postulate, Principle, Proof, Proposition, Tautology, Trivial
Law
A law is a mathematical statement which always holds true. Whereas "laws" in physics are generally experimental observations backed up by theoretical underpinning, laws in mathematics are generally theorems which can formally be proven true under the stated conditions. However, the term is also sometimes used in the sense of an empirical observation, e.g., Benford's law.
See Also:
Absorption Law, Benford's Law, Contradiction Law, de Morgan's Duality Law, de Morgan's Laws, Elliptic Curve Group Law, Exponent Laws, Girko's Circular Law, Law of Cosines, Law of the Excluded Middle, Law of Sines, Law of Tangents,Law of Truly Large Numbers, Morrie's Law, Parallelogram Law, Plateau's Laws, Quadratic Reciprocity Law, Strong Law of Large Numbers, Strong Law of Small Numbers, Sylvester's Inertia Law, Trichotomy Law, Vector Transformation Law, Weak Law of Large Numbers, Zipf's Law
作者：Anonymous 在 罕见奇谈 发贴, 来自 http://www.hjclub.org |
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