Set Theory and Logic - (Stoll Robert R.)(Paperback) - diskuze

Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum mechanics and other sciences), is introduced in a most careful concept manner, aiming for the maximum in clarity and stimulation for further study in set logic.
Contents include: Sets and Relations -- Cantors concept of a set, etc.
Natural Number Sequence -- Zorns Lemma, etc.
Extension of Natural Numbers to Real Numbers
Logic -- the Statement and Predicate Calculus, etc.
Informal Axiomatic Mathematics
Boolean
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