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To test the validity of an argument (a) translate, as necessary, each premise and the conclusion into sentential or predicate logic sentences (b) construct from these the negation of the corresponding conditional (c) see if from it a contradiction can be derived (or if feasible construct a truth
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in the methodical fashions described in text books. If, and only if, the original argument was valid will the theorem in conjunctive normal form be a contradiction, and if it is, then that it is will be apparent.
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table for it and see if it comes out false on every row.) Alternatively construct a truth tree and see if every branch is closed. Success proves the validity of the original argument.
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In case of the difficulty in trying to derive a contradiction, one should proceed as follows. From the negation of the corresponding conditional derive a theorem in
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http://www.csus.edu/indiv/n/nogalesp/SymbolicLogicGustason/SymbolicLogicOverheads/Phil60GusCh2TruthTablesSemanticMethods/TTValidityCorrespondingConditional.doc
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583:(you will need first-order predicate logic), negate it, and see if you can derive a contradiction from it. If you succeed, then the argument is valid.
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of the topic and provide significant coverage of it beyond a mere trivial mention. If notability cannot be shown, the article is likely to be
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Thus, any argument is valid if and only if the denial of its corresponding conditional leads to a contradiction.
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Instead of attempting to derive the conclusion from the premises proceed as follows.
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to reveal their forms and they cannot be tested properly by truth tables forms.
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To test this argument for validity, construct the corresponding conditional
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Corresponding conditional from the Free On-line
Dictionary of Computing
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Please help to demonstrate the notability of the topic by citing
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https://books.google.com/books?id=tb6bxjyrFJ4C&pg=PA153
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https://books.google.com/books?id=OxXopc5AjQ0C&pg=PA175
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https://books.google.com/books?id=xfOdpyj1bSIC&pg=PA90
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https://books.google.com/books?id=BVHwg_qNxosC&pg=PA40
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https://books.google.com/books?id=TQlvJJgUiVoC&pg=PA19
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The Value of
Knowledge and the Pursuit of Understanding
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The
Languages of Logic: An Introduction to Formal Logic
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http://www.earlham.edu/~peters/courses/log/terms2.htm
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is valid just in case the corresponding conditional
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217:Learn how and when to remove this message
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574:Therefore Some mortals are not logicians
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271:of the argument's (or derivation's)
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310:Either it is hot or it is cold
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139:reliable secondary sources
128:The topic of this article
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253:corresponding conditional
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