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Consistency

A set of axioms is consistent if they don't lead to any contradictions.
When a set of axioms is not consistent, false can be proven, and then everything is true, making the set of axioms useless.

Ancestors (6)

  1. Axiom
  2. Formal proof
  3. Formalization of mathematics
  4. Area of mathematics
  5. Mathematics
  6. Home

Synonyms (1)