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Arithmetic --- Model theory --- Foundations. --- -Model theory --- Logic, Symbolic and mathematical --- Mathematics --- Set theory --- Calculators --- Numbers, Real --- Foundations --- Model theory. --- Foundations of arithmetic --- Philosophy --- Arithmetic - Foundations.
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This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with König's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.
Logic, Symbolic and mathematical. --- Logic. --- Argumentation --- Deduction (Logic) --- Deductive logic --- Dialectic (Logic) --- Logic, Deductive --- Intellect --- Philosophy --- Psychology --- Science --- Reasoning --- Thought and thinking --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Methodology --- Mathematical Sciences --- General and Others
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eebo-0018
Almanacs, English. --- Ephemerides. --- Astrology
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eebo-0018
Almanacs, English --- Astrology --- Ephemerides
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Algebras, Linear --- 512.64 --- Linear and multilinear algebra. Matrix theory --- 512.64 Linear and multilinear algebra. Matrix theory --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology
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Model theory. --- Permutation groups. --- Automorphisms. --- Model theory --- Théorie des modèles --- Groupes de permutations --- Automorphismes --- Permutation groups --- Automorphisms --- Groupes, Théorie des --- Group theory --- Groupes, Théorie des. --- Groupes, Théorie des --- Logique mathématique --- Analyse combinatoire
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American fiction --- Courtship in literature --- Desire in literature --- English fiction --- Man-woman relationships in literature --- Mate selection in literature --- Seduction in literature --- Sex in literature --- Women and literature --- Women in literature --- Woman (Christian theology) in literature --- Women in drama --- Women in poetry --- History and criticism --- Darwin, Charles --- Darwin, Charles, Robert --- Influence.
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heiligen. --- Dood. --- iconografie. --- Sint-Sebastiaan (heilige).
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