MATB24H3 Study Guide - Final Guide: Empty Set, Rational Number, If And Only If

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4 Oct 2020
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A set is a container with no distinguishing feature other than its contents. The objects contained in a set are called the elements of the set. We write a s to signify that the object a is an element of the set s. the number of elements in a set s is called the cardinality of the set, and it is denoted by |s|. Since a set has no distinguishing feature other than its contents, there is a unique set containing no elements which is called the empty set and is denoted . Some other very common sets are the set r of all real numbers, the set q of all rational numbers, the set z of all integers, and the set c of all complex numbers. There are two important ways to specify a set: enumeration. One can list the contents of the set, in which case the set is denoted by enclosing the list in curly braces.

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