About: Axiom schema of predicative separation

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In axiomatic set theory, the axiom schema of predicative separation, or of restricted, or Δ0 separation, is a schema of axioms which is a restriction of the usual axiom schema of separation in Zermelo–Fraenkel set theory. This name Δ0 stems from the Lévy hierarchy, in analogy with the arithmetic hierarchy.

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  • In axiomatic set theory, the axiom schema of predicative separation, or of restricted, or Δ0 separation, is a schema of axioms which is a restriction of the usual axiom schema of separation in Zermelo–Fraenkel set theory. This name Δ0 stems from the Lévy hierarchy, in analogy with the arithmetic hierarchy. (en)
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  • In axiomatic set theory, the axiom schema of predicative separation, or of restricted, or Δ0 separation, is a schema of axioms which is a restriction of the usual axiom schema of separation in Zermelo–Fraenkel set theory. This name Δ0 stems from the Lévy hierarchy, in analogy with the arithmetic hierarchy. (en)
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  • Axiom schema of predicative separation (en)
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