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Mathematical proof - Wikipedia, the free encyclopedia
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Reductio ad absurdum - Wikipedia, the free encyclopedia
In formal logic, reductio ad absurdum (Latin: "reduction to the absurd") is an argument to refute a proposition (or set of propositions), by showing that it leads to a logically absurd consequence. ...
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proof --- mathematical reasoning -- inferencing ... proof by contradiction ... There are also some well used and often very useful proof techniques such as trivial proof, vacuous proof, direct proof, proof by contradiction, proving the contrapositive, and proof by induction. These are explained below with proofs of the...
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An introduction to proof by contradiction, a powerful method of mathematical proof. ... Certain types of proof come up again and again in all areas of mathematics, one of which is proof by contradiction. ... Download Mathematical Fonts for better quality.
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Proof By Contradiction ... Numbers | A History of Numbers | Propositional Logic | Logical Completeness | The Liar's Paradox; Logical Consistency | Basic Methods of Mathematical Proof | Integers and Natural Numbers; Rational Numbers | Irrational Numbers | Imaginary Numbers | The Euler Equation...
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A Proof by Contradiction (Eight Primary Sources) ... Static shot, interior. The view shows a length of empty corridor, ending in a half-open door beyond which can be glimpsed a small bathroom, of the type found in Japanese ... I won't delve too deeply into the mathematical proof of this, Pspace-hard and so forth, but—"
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In a proof by contradiction we assume, along with the hypotheses, the logical negation of the result we wish to prove, and then reach some kind of contradiction. ... Proof by contradiction is often used when you wish to prove the impossibility of something. You assume it is possible, and then reach a contradiction.
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