Transitive models of ZFC have the same natural numbers and agree on whether a shared set is a finite set. Consequently they also agree on whether it is an infinite set.

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  1. Set-theoretic absoluteness
  2. Formula relativization to a class
  3. Transitive class
  4. Class in set theory
  5. Set theory
  6. Foundations of mathematics
  7. Area of mathematics
  8. Mathematics
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