The purpose of this module is to introduce language for talking about sets, and some. For those of you new to abstract mathematics elementary does not mean simple though much of the material. An introduction to set theory university of toronto. The axioms of set theory, ordinal and cardinal arithmetic, the axiom of foundation, relativisation, absoluteness, and reflection, ordinal definable sets and inner models of set theory, the constructible universe l cohens method of forcing, independence. This alone assures the subject of a place prominent in human culture. There are two methods of representing a set i roaster or tabular form ii set builder form 1. Schaums outline set theory pdf free download download. Basic set theory a set is a many that allows itself to be thought of as a one. This note is an introduction to the zermelofraenkel set theory with choice zfc. Georg cantor this chapter introduces set theory, mathematical induction, and formalizes the notion of mathematical functions. Free set theory books download ebooks online textbooks.
Basic concepts of set theory, functions and relations. Formal set notation description informal english description 2, 4, 6, 8, 10, the set of all positive even integers, 3, 1, 1, 3, the set of all odd integers n. Here we are going to see some practice questions on set theory. Introduction to logic and set theory 202014 general course notes december 2, 20 these notes were prepared as an aid to the student. Each of the above laws follows from an analogous logical law. In mathematics, the notion of a set is a primitive notion. About set theory practice worksheet for grade 11 set theory practice worksheet for grade 11. Georg cantor in the previous chapters, we have often encountered sets, for example, prime numbers form a set, domains in predicate logic form sets as well. This series of lessons cover the essential concepts of math set theory the basic ways of describing sets, use of set notation, finite sets, infinite sets, empty sets, subsets, universal sets, complement of a set, basic set operations including intersection and union of sets, using venn diagrams and simple applications of sets. Then by the axiom schema of comprehension, there is a set bdf x2vw g. Set theory \a set is a many that allows itself to be thought of as a one. The relationship between set inclusion and the above set operations follows. They are not guaranteed to be comprehensive of the material covered in the course.
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