by Ciro Santilli (@cirosantilli, 34)
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)

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (1)

Consistency by Wikipedia Bot 0 1970-01-01
Read the full article
See all articles in the same topic Create my own version