Titlebook: Handbook of Philosophical Logic; D. M. Gabbay,F. Guenthner Book 2001Latest edition Springer Science+Business Media Dordrecht 2001 logic.ph

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Elementary Predicate Logic,with three quite distinct motives. Maybe the mixture gave it hybrid strength. But whatever the reason, first-order logic is both the simplest, the most powerful and the most applicable branch of modern logic.

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Systems between First-Order and Second-Order Logics,a well-studied proof theory and model theory, and it enjoys a number of interesting properties. There is a recursively-enumerable deductive system D2 such that any first-order sentence Φ is a consequence of a set Γ of first-order sentences if and only if Φ is deducible from Γ in D1. Thus, first-orde

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Higher-Order Logic,the more ambitious language employed in the logicist program of Frege and Russell. ‘Elementary’ or ‘first-order’, or ‘predicate logic’ only became a recognized stable base for logical theory by 1930, when its interesting and fruitful meta-properties had become clear, such as completeness, compactnes

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Algorithms and Decision Problems: A Crash Course in Recursion Theory,cern of mathematicians and computer scientists. There is a good reason, however, to treat the material here, because the study of logic presupposes the study of languages, and languages are by nature discrete inductively defined structures of words over an alphabet. Moreover, the derivability relati

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nd about the Soviet mapping programme more generally, in addition to the implications of this on current global mapping initiatives. A broader view is then taken on the relevance of Soviet maps in current and future applications, with use of the maps in the context of humanitarian crises identified

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