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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

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Tarski-Grothendieck in the cumulative hierarchy

How can the Grothendieck-Tarski axiom seen to be true in the cumulative hierarchy of sets? What are intuitions that would convince us that this axiom is true?
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