I can hear this post in their voices. Maybe I’ve seen the movie too many times…nah

  • @[email protected]
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    12 years ago

    sigh, very well then.

    Consider the set of real numbers, which is an uncountable infinity. Notice how this infinite set does not contain any grapes.

    It’s not rocket science

    • @[email protected]
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      12 years ago

      Grapes and real numbers are both finite distinctions of a shared infinitely ordered set, which itself is part of an infinitely disordered set. Numbers are an infinitely ordered set that do not contain grapes. Grapes are part of many finite sets that are also part of an infinitely ordered set. Both exist within disordered and ordered sets as well. You’re not describing limitations of the infinite like you think you are. You’re only describing the limitations of your understanding of the infinite.

      • @[email protected]
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        2 years ago

        Exactly this. I think the real problem is that “infinite” is virtually impossible to comprehend, so people regularly misunderstand what it means and how it works.

        • @[email protected]
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          22 years ago

          They’re slippery concepts to be sure. Language itself becomes an impediment when discussing the subject. How can one use terms which were created to narrow perspective in order to expand consciousness to encompass the ineffable?

      • @[email protected]
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        02 years ago

        Well, yes, obviously different infinite sets have different contents. Do you have a point that’s actually relevant to what we’re talking about?