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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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    https://brainmass.com/math/algebra/two-types-strictly-increasing-sequences-ordinals-309235

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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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