About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 106. Chapters: First-order logic, Presburger arithmetic, Godel's completeness theorem, Soundness, Original proof of Godel's completeness theorem, Compactness theorem, Embedding, Functional predicate, Godel's incompleteness theorems, List of first-order theories, Kripke semantics, Structure, Interpretation, Boolean-valued model, Lowenheim-Skolem theorem, Skolem's paradox, Type, Undecidable problem, Stable theory, General frame, Skolem normal form, Real closed ring, Ultraproduct, Elementary class, Differentially closed field, True arithmetic, O-minimal theory, Signature, Morley's categoricity theorem, Elementary equivalence, Definable set, Pseudoelementary class, Exponential field, Spectrum of a theory, Vaught conjecture, Ehrenfeucht-Fraisse game, Stable group, Substructure, Stability spectrum, Saturated model, Back-and-forth method, Institution, Non-standard model of arithmetic, Quantifier elimination, Ax-Kochen theorem, Ax-Grothendieck theorem, Wilkie's theorem, Morley rank, NIP, Conservative extension, Hrushovski construction, Zariski geometry, Pregeometry, Abstract elementary class, Existentially closed model, Omega-categorical theory, Satisfiability, Prime model, Weakly o-minimal structure, Institutional model theory, Tarski's exponential function problem, Amalgamation property, Strongly minimal theory, Age, Forking extension, Model complete theory, C-minimal theory, Atomic model, Imaginary element, Valuation, Reduct, Reduced product, Chang's conjecture, Tennenbaum's theorem, Potential isomorphism, Elementary diagram, Decidable sublanguages of set theory, Computable model theory, Indiscernibles, Ehrenfeucht-Mostowski theorem, Tame group, Strength, Joint embedding property. Excerpt: First-order logic is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: ...
