5. (1) Show that the lexicographical order on {0, 1}x N with the standard orders on {0, 1} and on N is a well order. (2) Let w be the ordinal of N with the standard order (called the first limit ordinal). The example above has ordinal w+w by the definition of the sum of ordinals. Show that ww+w.
5. (1) Show that the lexicographical order on {0, 1}x N with the standard orders on {0, 1} and on N is a well order. (2) Let w be the ordinal of N with the standard order (called the first limit ordinal). The example above has ordinal w+w by the definition of the sum of ordinals. Show that ww+w.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 77E
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