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Axiomatic Set Theory: Unveiling the Foundations of Mathematics
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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))?
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A
Axiom of Separation
💡 Explanation:
The Axiom of Separation 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)).