Give an example in the real numbers of a well ordered set. Then, give an example of a set that is not well ordered.
Give an example in the real numbers of a well ordered set. Then, give an example of a set that is not well ordered.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete Math
Expert Solution
Step 1: Definition
A well-order (or well-ordering or well-order relation) on a set S is a total order on S with the property that every non-empty subset of S has a least element in this ordering.
The set S together with the well-order relation is then called a well-ordered set.
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