Lindenbaum's lemma

Source: Wikipedia, the free encyclopedia.

In

Lindenbaum algebra
of a theory.

Uses

It is used in the proof of Gödel's completeness theorem, among other places.[citation needed]

Extensions

The effective version of the lemma's statement, "every consistent

Gödel's incompleteness theorem
.

History

The lemma was not published by Adolf Lindenbaum; it is originally attributed to him by Alfred Tarski.[1]

Notes

  1. ^ Tarski, A. On Fundamental Concepts of Metamathematics, 1930.

References

  • Crossley, J.N.; Ash, C.J.; Brickhill, C.J.; Stillwell, J.C.; Williams, N.H. (1972). What is mathematical logic?. London-Oxford-New York: .