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Home > Art, Film & Photography > Sentences by Type: Contradiction, Tautology, Conditional Sentence, Nominal Sentence, Simple Sentence, Complex-Compound Sentence
Sentences by Type: Contradiction, Tautology, Conditional Sentence, Nominal Sentence, Simple Sentence, Complex-Compound Sentence

Sentences by Type: Contradiction, Tautology, Conditional Sentence, Nominal Sentence, Simple Sentence, Complex-Compound Sentence


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About the Book

Chapters: Contradiction, Tautology, Conditional Sentence, Nominal Sentence, Simple Sentence, Complex-Compound Sentence. Source: Wikipedia. Pages: 44. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In logic, a tautology (from the Greek word ) is a formula which is true in every possible interpretation. The philosopher Ludwig Wittgenstein first applied the term to redundancies of propositional logic in 1921; it had been used earlier to refer to rhetorical tautologies, and continues to be used in that alternate sense today. A formula is satisfiable if it is true under at least one interpretation, and thus a tautology is a formula whose negation is unsatisfiable. Unsatisfiable statements are also known, formally, as contradictions. A formula that is neither a tautology nor a contradiction is said to be logically contingent. Such a formula can be made either true or false based on the values assigned to its propositional variables. The double turnstile notation is used to indicate that S is a tautology. The tee symbol is sometimes used to denote an arbitrary tautology, with the dual symbol (falsum) representing an arbitrary contradiction. Tautologies are a key concept in propositional logic, where a tautology is defined as a propositional formula that is true under any possible Boolean valuation of its propositional variables. A key property of tautologies in propositional logic is that an effective method exists for testing whether a given formula is always satisfied (or, equivalently, whether its negation is unsatisfiable). The definition of tautology can be extended to sentences in predicate logic, which may contain quantifiers, unlike sentences of propositional logic. In propositional logic, there is no distinction between a tautology and a logically valid formula. In the context of predi...More: http://booksllc.net/?id=4495335



Product Details
  • ISBN-13: 9781156196007
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • Sub Title: Contradiction, Tautology, Conditional Sentence, Nominal Sentence, Simple Sentence, Complex-Compound Sentence
  • Width: 229 mm
  • ISBN-10: 1156196000
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Spine Width: 3 mm
  • Weight: 82 gr


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