Apparently this reminder is needed.

It is a meme.

  • @[email protected]
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    fedilink
    97 months ago

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

    • @[email protected]
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      fedilink
      77 months 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?

      • @[email protected]
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        English
        37 months 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.