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03E30 - Mathematical logic and foundations :: Set theory :: Axiomatics of classical set theory and its fragments

  1. \mathcal{U}-small owned by mathcam
  2. axiom of choice owned by GrafZahl
  3. axiom of extensionality owned by Sabean
  4. axiom of infinity owned by Sabean
  5. axiom of pairing owned by Sabean
  6. axiom of power set owned by mathcam
  7. axiom of union owned by Sabean
  8. axiom schema of separation owned by Sabean
  9. de Morgan's laws owned by mathcam
  10. de Morgan's laws for sets (proof) owned by mathcam
  11. example of universe owned by rspuzio
  12. example of universe of finite sets owned by rspuzio
  13. Hilbert's \varepsilon-operator owned by gribskoff
  14. index of set theory owned by rspuzio
  15. maximality principle owned by akrowne
  16. proof of properties of universe owned by rspuzio
  17. set theory owned by mathwizard
  18. Tarski's axiom owned by rspuzio
  19. union owned by rm50
  20. universe owned by archibal
  21. variations on axiom of choice owned by CWoo
  22. von Neumann-Bernays-Gödel set theory owned by Aatu
  23. well-foundedness and axiom of foundation owned by CWoo

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