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Contradiction
Contradiction Broadly speaking, a contradiction is an incompatibility between two or more ... one of the ideas outright. In logic, contradiction is defined much more specifically, usually as ... based on Aristotle's law of non-contradiction which states that "One cannot say of ... and at the same time." In TRIZ contradiction (as one of the basic definitions) ...
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Proof (translated from Japanese)
Proof Table of contents Proof (generality) Make that a certain matter is ... clear. Related item Deduction Induction Positivism Evidence Proof of demon Existence proof of God Proof (mathematics and symbolic logic) Certain proposition , ...
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Proof (translated from German)
Proof Proof is the statement of the correctness (Verification ... means of empirically or more logically Methods. Proof, also as Conclusion designation, is in that ... presupposed, Aussagen (Sentences) one wins. If the proof were successfully accomplished, the statement becomes as ... back. In the logic one knows to Proof three Conclusion ways: Deduction, Induction and ...
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Proof (mathematics) (translated from German)
Proof (mathematics) Proof is in that Mathematik the formally correct proof that from a sentence of Aussagen a ... three methods exist, according to which a proof can be accomplished in mathematics: that direct proof, that indirect proof and/or. the ...
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Consistency proof
Consistency proof In mathematical logic, a formal system is ... consistent if it does not contain a contradiction, or, more precisely, for no proposition provable. A consistency proof is a formal proof that a formal system is consistent. The early development of mathematical proof theory was driven by the desire ...
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Mathematical proof
Mathematical proof In mathematics, a proof is a demonstration that, assuming certain axioms ... logic. Purely formal proofs are considered in proof theory. The distinction between formal and informal ... is a theorem; in a completely formal proof it would be the final line, and the complete proof shows how it follows from the ...
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Proof techniques
Proof techniques In analytical calculus (often times known ... given hypothesis is true or false. Deductive Proof A deductive proof, or direct proof, is very straightforward. Given some hypothesis: There ... mathematical hypothesis can be proven using deductive proof techniques. Example If |
Indirect proof (translated from Japanese)
Indirect proof Indirect proof（Coming び ゅ う one) With ... a result by listing the example which contradiction occurs, conclusion the method of obtaining. Changing ...
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Proof complexity
Proof complexity In computer science, proof complexity is a measure of efficiency of ... proofs they produce. The methods for proving contradiction in propositional logic are the most analyzed. The two main issues considered in proof complexity are whether a proof method can produce a polynomial proof ...
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Nonconstructive proof
Nonconstructive proof In mathematics, a nonconstructive proof, as opposed to a constructive proof, is a mathematical proof that purports to demonstrate the existence of ... required to be proven, and deduce a contradiction. The non-existence of the thing ...
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