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2bornot2b

  • 2 years ago

Does it help in any way, to think of sequences as countable subsets of the Real numbers? Does this way of thinking take us anywhere important?

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  1. JamesJ
    • 2 years ago
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    The concepts are so close, it's hard for me to think of useful properties of countable subsets of the reals without immediately thinking of them as a sequence. So for the moment I'm going to provisionally say probably not.

  2. 2bornot2b
    • 2 years ago
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    I meant; is there any theorem or any understanding that stands on this result?

  3. JamesJ
    • 2 years ago
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    Yes, I know what you mean. Off the top of my head no, but I'm sure this could be used productively somewhere.

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