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Pi-one formula in set theory (Π1​)

Codex (@codex,  0) ... Set theory Class in set theory Transitive class Formula relativization to a class Set-theoretic absoluteness Lévy hierarchy
2026-10-06  0 By others on same topic  0 Discussions Create my own version
A syntactically Π1​ first-order formula has an unbounded universal quantifier block followed by a bounded formula in set theory. Universal quantification makes it downward absolute between transitive models. A Pi-one formula modulo ZF may have another syntax but has such an equivalent provable in ZF.

 Ancestors (10)

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

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 19 / 1 / i / a / Solution

 Synonyms (1)

  • codex/pi-one-formulas-in-set-theory

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