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1. people.umass.edu › partee › NZ_2006Basic Concepts of Set Theory, Functions and Relations - UMass

   people.umass.edu › partee › NZ_2006

   Basic Concepts of Set Theory. 1.1. Sets and elements. Set theory is a basis of modern mathematics, and notions of set theory are used in all formal descriptions.

2. people.cs.pitt.edu › ~milos › coursesSets and set operations - University of Pittsburgh

   people.cs.pitt.edu › ~milos › courses

   Set. Definition: A set is a (unordered) collection of objects. These objects are sometimes called elements or members of the set. (Cantor's naive definition) Examples: Vowels in the English alphabet. V = { a, e, i, o, u } First seven prime numbers. X = { 2, 3, 5, 7, 11, 13, 17 }

3. www.math.uh.edu › ~dlabate › settheory_AshlockBasic Set Theory - UH

   www.math.uh.edu › ~dlabate › settheory_Ashlock

   This chapter introduces set theory, mathematical in-duction, and formalizes the notion of mathematical functions. The material is mostly elementary. For those of you new to abstract mathematics elementary does not mean simple (though much of the material is fairly simple).

4. math.berkeley.edu › ~marks › notesSet Theory - University of California, Berkeley

   math.berkeley.edu › ~marks › notes

   hierarchy. We begin with a simple collection of sets, and then apply some basic operations to iteratively create more sets. This produces the hierarchy V of all sets. The precise set existence axioms we will use will be discussed in the next section. They are known as Zermelo-Frankel set theory or ZF. We use ZFC to denote ZF+ the axiom of choice.

5. www.math.fsu.edu › ~wooland › hm2edPART 1 MODULE 2 SET OPERATIONS, VENN DIAGRAMS SET OPERATIONS

   www.math.fsu.edu › ~wooland › hm2ed

   SET INTERSECTION, SET UNION, SET COMPLEMENT: SUMMARY. The intersection of two sets denotes the elements that the sets have in common, or the "overlap" of the two sets. S ∩ T = {x|x∈ S and x∈ T}. The union of two sets merges the two sets into one "larger" set. S ∪ T = {x|x ∈ S or x ∈ T}.

6. www.math.wustl.edu › ~freiwald › ch1Chapter I The Basics of Set Theory - Department of Mathematics

   www.math.wustl.edu › ~freiwald › ch1

   The Basics of Set Theory 1. Introduction Every mathematician needs a working knowledge of set theory. The purpose of this chapter is to provide some of the basic information. Some additional set theory will be discussed in Chapter VIII. Sets are a useful vocabulary in many areas of mathematics. They provide a for statinglanguage interesting ...

7. www.math.toronto.edu › weiss › set_theoryAN INTRODUCTION TO SET THEORY - University of Toronto Department...

   www.math.toronto.edu › weiss › set_theory

   Because the fundamentals of Set Theory are known to all mathemati-cians, basic problems in the subject seem elementary. Here are three simple statements about sets and functions. They look like they could appear on a homework assignment in an undergraduate course. 1. For any two sets X and Y, either there is a one-to-one function from