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Axiomatic Set Theory: Unveiling the Foundations of Mathematics

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Multiple Choice

Which axiom in Zermelo-Fraenkel set theory states that for any set (A) and any property (P(x)), there exists a set (B) whose elements are exactly the elements (x) of (A) that satisfy the property (P(x))?

  1. Axiom of Extensionality
  2. Axiom of Pairing
  3. Axiom of Union
  4. Axiom of Separation
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