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Consistency

Index Mathematics Fields of mathematics Mathematical logic Proof theory
 1 By others on same topic  0 Discussions  1970-01-01  See my version

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  1. Proof theory
  2. Mathematical logic
  3. Fields of mathematics
  4. Mathematics
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 Articles by others on the same topic (1)

Consistency by Ciro Santilli 37  Updated 2025-05-09  +Created 1970-01-01
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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.
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