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Thread: Cardinal numbers - help prove basic properties

  1. #1
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    Cardinal numbers - help prove basic properties

    Hey all, I need help with the following questions:

    1) prove that t+aleph0 = aleph0 for any t finite number.
    2) t*aleph0 = aleph0 for any t finite number
    3) t+aleph1 = aleph1 for any t finite number
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  2. #2
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    Re: Cardinal numbers - help prove basic properties

    Quote Originally Posted by OriaG View Post
    Hey all, I need help with the following questions:
    1) prove that t+aleph0 = aleph0 for any t finite number.
    2) t*aleph0 = aleph0 for any t finite number
    3) t+aleph1 = aleph1 for any t finite number

    Oh, come on!
    What is the definition of t+\aleph_0~?

    How do you define equality for t+\aleph_0=\aleph_0~?.

    Answer those questions and show some work.
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