A theorem is a statement that has been proven on the basis of previously established statements, such as other theorems and generally accepted statements, such as axioms. The proof of a mathematical theorem is a logical argument for the theorem statement given in accord with the rules of a deductive system. The proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific theory, which is empirical.
Posted on: Fri, 24 Jan 2014 19:14:24 +0000
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