Concept

Zermelo–Fraenkel set theory

Overview

variant of ZFC, the standard axiomatic set theory

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

Philosophers who discussed Zermelo–Fraenkel set theory

• Kurt Gödel
• George Boolos
• Alfred Tarski
• Alain Badiou
• Ian Rumfitt
• John Penn Mayberry

Related ideas

• First-order logic
• Independence (mathematical logic)
• Finite set
• Georg Cantor
• Infinite set
• John von Neumann
• Foundations of mathematics
• Ernst Zermelo
• Function (mathematics)
• Axiomatic system
• Mathematical object
• Model theory
• Constructivism (philosophy of mathematics)
• Domain of discourse
• Richard Dedekind
• Power set
• Axiom of infinity
• Peano axioms
• Set (mathematics)
• Set theory
• Subset
• Theorem
• Zermelo set theory
• Saunders Mac Lane

Opposing perspectives

• Ordinal number

Place in the tradition

Part of Analytic philosophy.

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