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Thread: Russellesque question.

  1. #1 Russellesque question. 
    GiantEvil
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    Default November 30th, 2013, 02:05 AM
    Some thread somewhere at some time someone spoke (Strange maybe?) of a fictional race of plasma beings who would have a thorough understanding of the real numbers, but integers would be a strange alien concept to them.
    Is anyone aware of any existent work concerning the process of assuming the Reals as fundamental and going on to construct the Integers?
    Has it maybe been proven already that this approach is logically inconsistent?


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    KJW
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    November 30th, 2013, 03:00 AM
    Skolem's paradox may be relevant to this topic.


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    There are no paradoxes in relativity, just people's misunderstandings of it.
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    MagiMaster
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    November 30th, 2013, 01:32 PM
    The integers are a sub-ring of the reals, so it's not impossible to work things out in that direction.
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    GiantEvil
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    November 30th, 2013, 05:54 PM
    Thanks folks, both those things are the sort of tree I'm barking up.
    I was some of the mud that got to sit up and look around.
    Lucky me. Lucky mud.
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    river_rat
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    December 2nd, 2013, 05:06 AM
    Quote Originally Posted by KJW View Post
    Skolem's paradox may be relevant to this topic.
    I don't get the link here?
    As is often the case with technical subjects we are presented with an unfortunate choice: an explanation that is accurate but incomprehensible, or comprehensible but wrong.
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