The theory of sets provides a foundation for all of mathematics. We shall discuss, informally, axioms for sets and develop the theory of infinite ordinal and cardinal numbers and their 'arithmetic'.
To introduce the students to the general theory of sets, as a foundational and as an axiomatic theory. The aim is to make the course of general interest to students who are not planning to specialize ...
Once Hilbert asserted that the axioms of a theory 'define' the primitive concepts of its language 'implicitly'. Thus when someone inquires about the meaning of the set-concept, the standard response ...
The six weeks devoted to set theory will be concerned with the question, "In what sense (if any) does set theory serve as a 'foundation' for contemporary mathematics?" The question will be approached ...
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