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Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories. The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order predicate logic with identity and operation symbols, first-order predicate logic with identity, completeness theorems, elementary theories, deduction theorem, interpretations, truth, and validity, sentential connectives, and tautologies. The text then tackles second-order predicate logic, as well as second-order theories, theory of definition, and second-order predicate logic F2. The publication takes a look at natural and real numbers, incompleteness, and the axiomatic set theory. Topics include paradoxes, recursive functions and relations, Gödel's first incompleteness theorem, axiom of choice, metamathematics of R and elementary algebra, and metamathematics of N. The book is a valuable reference for mathematicians and researchers interested in mathematical logic and formalized theories.
Inherent to the teaching and practice of emergency medicine are specific challenges not found in other specialties - the unknowns of the emergency department, the need to identify life- and limb-threatening conditions, the pressure to solve problems and find solutions quickly, and the orchestration of clinical specialists and ancillary services. Because of these unique demands, books written by clinicians from other disciplines, that extrapolate their information from other specialties, aren’t always suitable references for teachers of emergency medicine. This book is different – it shows how to incorporate effective teaching strategies into the unique teaching atmosphere of the emergenc...
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List for March 7, 1844, is the list for September 10, 1842, amended in manuscript.
Siskiyou County Library has vol. 1 only.