Apparently this reminder is needed.

It is a meme.

  • steventhedev@lemmy.world
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    1 year ago

    If the set of definitions contains the word set, does the English language implode in a recursive cascade of paradoxes?

    • bort@feddit.de
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      1 year ago

      A set can totally contain itself. A better question would be: Consider a set, that contains all sets, that do not contain themself. Would that set contain itself?

      • hglman@lemmy.ml
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        1 year ago

        Yes, just relax the axiom of comprehension, allow U ∈ U and move on with proving things for fun and profit. No one said that you have to pick axioms that seem natural or intuitive.

    • phorq@lemmy.ml
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      1 year ago

      Define “the” without using the word “the”… Take that logic! Set and match!