Define the cantors theorem

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Question: One of the major results from modern set theory is that not all collections can be gathered together to form a set. One such example is the "set of all sets." Suppose hypothetically that the universal set 119984; = { x | x exists } exists. This set contains everything: it contains all natural numbers, all sets, all people in the world, all thoughts and hopes and dreams, and even itself! It turns out, however, that 𝒰's existence leads to a contradiction. Using Cantors theorem and the result from the previous problem, prove that 𝒰 does not exist.

Reference no: EM131467520

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