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Titlebook: Systems of Formal Logic; L. H. Hackstaff Book 1966 D. Reidel Publishing Company 1966 formal logic.logic.propositional calculus.symbolic lo

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楼主: CURD
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Introduction: Some Concepts and Definitions, giving reasons, he is engaged in argumentation. When the scientist, or the Delegate, or the student engage in argumentation they do so by offering a statement or series of statements which, they believe, support or ground the statement for which they are arguing.
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The Consistency and Completeness of Formal Systems,m ., substitution and modus ponens, were L-truth-preserving, i.e., that if the premises of a proof are L-true then the conclusion is L-true. (In this chapter the term “L-true” is used interchangeably with the term “tautology”.) This being the case, it is possible to establish the following metatheorem concerning ..
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The System ,s only those results of propositional logic which may be derived without resort to negation-functors of any kind. The present chapter should be studied in connection with Chapter 1 in which definitions and concepts, used here without explanation, are presented.
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Introduction: Some Concepts and Definitions,fered reasons or evidence supporting this statement, he engaged in argumentation. Likewise, when a Delegate to the United Nations presents a proposal to the Assembly and proceeds to present considerations which, he hopes, will make the proposal plausible to his fellow delegates, he is engaged in arg
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Standard Systems with Negation,s are developed. The first of these systems is called .. . is a full propositional calculus with negation. It is constructed by adding a twelfth axiom to the axiom-set of .. A further system is also outlined, called .. . obtains the full propositional calculus by a reduction of the redundant axioms
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The System , Systems of Natural Deduction, is called .. The rule technique and the rules of deduction are first presented, then some deductions of theorems proved axiomatically in the preceding chapters are carried out using the new technique. A decision procedure is developed for .. Finally, a reduction of ., called ., is presented.
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