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Zermelo-Fraenkel set theory (ZF)

Ciro Santilli (@cirosantilli, 37) ... Mathematics Area of mathematics Formalization of mathematics Formal proof Formal system Set theory
Updated 2025-10-14  1 By others on same topic  0 Discussions Create my own version
One of the first formal proof systems. This is actually understandable!
This is Ciro Santilli-2020 definition of the foundation of mathematics (and the only one he had any patience to study at all).
TODO what are its limitations? Why were other systems created?
  • Table of contents
    • Zermelo-Fraenkel axioms Zermelo-Fraenkel set theory
      • Zermelo-Fraenkel axioms with the axiom of choice Zermelo-Fraenkel axioms

Zermelo-Fraenkel axioms (ZF)

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Zermelo-Fraenkel set theory

Zermelo-Fraenkel axioms with the axiom of choice (ZFC)

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Zermelo-Fraenkel axioms

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  1. Set theory
  2. Formal system
  3. Formal proof
  4. Formalization of mathematics
  5. Area of mathematics
  6. Mathematics
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 Incoming links (4)

  • Formalization of mathematics
  • Metamath
  • Set theory
  • Website front-end for a mathematical formal proof system

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Zermelo–Fraenkel set theory by Wikipedia Bot 0
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