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Home > Art, Film & Photography > Rules of Inference: Modus Ponens, Modus Tollens, de Morgan's Laws, Proof by Contradiction, Law of Excluded Middle, Disjunctive Syllogism
Rules of Inference: Modus Ponens, Modus Tollens, de Morgan's Laws, Proof by Contradiction, Law of Excluded Middle, Disjunctive Syllogism

Rules of Inference: Modus Ponens, Modus Tollens, de Morgan's Laws, Proof by Contradiction, Law of Excluded Middle, Disjunctive Syllogism


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 35. Chapters: Modus ponens, Modus tollens, De Morgan's laws, Proof by contradiction, Law of excluded middle, Disjunctive syllogism, Disjunction elimination, Disjunction introduction, Double negative elimination, Biconditional introduction, Conjunction introduction, Biconditional elimination, Admissible rule, List of rules of inference, Law of thought, Resolution, Principle of contradiction, Transposition, Law of identity, Rule of inference, Contraposition, Negation as failure, Principle of explosion, Conversion, Obversion, Generalization, Case analysis, Independence of premise, Proof by contrapositive, Dictum de omni et nullo, Universal instantiation, Constructive dilemma, Hypothetical syllogism, Modus ponendo tollens, Destructive dilemma, Commutativity of conjunction, Simplification. Excerpt: In logic, the law of excluded middle (or the principle of excluded middle) is the third of the so-called three classic laws of thought. It states that for any proposition, either that proposition is true, or its negation is. The principle can be expressed in either a logical or a semantical form. The semantical form uses the non-logical word "true," as above. The logical form uses only logical expressions "either," "or" and can be expressed by the formula "P P" "either P or not P," where "P" is schematic for any proposition such as "snow is white," "Socrates is running" and so on. Many modern logic systems reject the law of excluded middle, replacing it with the concept of negation as failure. That is, there is a third possibility: the truth of a proposition is unknown. A classic example illustrating the difference is the proposition: "It is not safe to cross the railroad tracks when a train is coming." One should not deduce that it is safe to cross the tracks if you don't know that a train is coming. The principle of negation-as-failur...


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Product Details
  • ISBN-13: 9781155489452
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 36
  • Spine Width: 2 mm
  • Weight: 82 gr
  • ISBN-10: 1155489454
  • Publisher Date: 30 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Modus Ponens, Modus Tollens, de Morgan's Laws, Proof by Contradiction, Law of Excluded Middle, Disjunctive Syllogism
  • Width: 189 mm


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