Basic set theory a set is a many that allows itself to be thought of as a one. Schaums outline set theory pdf free download download. 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. Each of the above laws follows from an analogous logical law. But even more, set theory is the milieu in which mathematics takes place today. 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. In mathematics, the notion of a set is a primitive notion. For those of you new to abstract mathematics elementary does not mean simple though much of the material. The relationship between set inclusion and the above set operations follows.
Describe the following sets in both formal and informal ways. About set theory practice worksheet for grade 11 set theory practice worksheet for grade 11. The axiom of pair, the axiom of union, and the axiom of. 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. Set theory \a set is a many that allows itself to be thought of as a one. Here we are going to see some practice questions on set theory. 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.
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