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Extensions of the Language, Normal Forms,In Chap. II, we built up the language of predicate logic on the basis of the junctors ⋀ and ┐ and the quantifier ⋀. Other junctors, such as V, →, ↔ (Chap. I, §6.2), and the quantifier V (Chap. I, §7.5) can be defined on this basis (see Chap. II, § 1.5; cf. also Chap. I, § 6, Exercise 5).
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The Semantics of Predicate Logic, on the basis of semantic ideas. The expressions of predicate logic correspond to the mathematical statements. In this chapter, we shall introduce the notion of consequence and the other semantic concepts which are necessary for its definition with the precision which is now possible.
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Introduction to Mathematical Logic978-3-642-87132-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
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