Theorem
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High Quality Content by WIKIPEDIA articles! In mathematics, a theorem is a statement which has been proved on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms. The derivation of a theorem is often interpreted as a proof of the truth of the resulting expression, but different deductive systems can yield other interpretations, depending on the meanings of the derivation rules. The proofs of theorems have two components, called the hypotheses and the conclusions. The proof of a mathematical theorem is a logical argument demonstrating that the conclusions are a necessary consequence of the hypotheses, in the sense that if the hypotheses are true then the conclusions must also be true, without any further assumptions. The concept of a theorem is therefore fundamentally deductive, in contrast to the notion of a scientific theory, which is empirical.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786130352448
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Sprache Englisch
- Größe H220mm x B150mm x T7mm
- Jahr 2010
- EAN 9786130352448
- Format Kartonierter Einband
- ISBN 978-613-0-35244-8
- Titel Theorem
- Untertitel Mathematics, Statement (logic), Mathematical Proof, Axiom, Deductive System, Premise, Deductive Reasoning, Propositional Calculus, Fermat's Last Theorem, Indicative Conditional
- Gewicht 191g
- Herausgeber VDM Verlag Dr. Müller e.K.
- Anzahl Seiten 116
- Genre Mathematik
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