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Two types of strictly increasing sequences of ordinals

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I need help on the following problem (from Notes on Set Theory -Yiannis Moschovakis):
[Let me know if you have a question on notation; I have a pdf file of this book]

Give examples of strictly increasing sequences of ordinals such that

,

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Solution Summary

One example of each type of increasing sequence of ordinals called for in the problem statement was provided, including a justification as to why it satisfies the stated conditions. One additional example of each type was given, without justification, so that an interested student could prove/verify that it satisfies the stated conditions.

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Georgia Martin, PhD
Education
  • AB, Hood College
  • PhD, The Catholic University of America
  • PhD, The University of Maryland at College Park
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