Formal Logic: Its Scope and Limits,Used

Formal Logic: Its Scope and Limits,Used

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SKU: DADAX0070323216
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Brand: Ergodebooks
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The first beginning logic text to employ the tree methoda complete formal system of firstorder logic that is remarkably easy to understand and usethis text allows students to take control of the nuts and bolts of formal logic quickly, and to move on to more complex and abstract problems. The tree method is elaborated in manageable steps over five chapters, in each of which its adequacy is reviewed; soundness and completeness proofs are extended at each step, and the decidability proof is extended at the step from truth functions to the logic of nonoverlapping quantifiers with a single variable, after which undecidability is demonstrated by example. The first three chapters are bilingual, with arguments presented twice, in logical notation and in English. The last three chapters consider the discoveries defining the scope and limits of formal methods that marked logics coming of age in the 20th Godels completeness and incompleteness theorems for first and secondorder logic, and the ChurchTuring theorem on the undecidability of firstorder logic. This new edition provides additional problems, solutions to selected problems, and two new "TruthFunctional Equivalence" reinstates material on that topic from the second edition that was omitted in the third, and "Variant Methods," in which John Burgess provides a proof regarding the possibility of modifying the tree method so that it will always find a finite model when there is one, and another, which shows that a different modificationonce contemplated by Jeffreycan result in a dramatic speedup of certain proofs.

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