The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued quarterly. Volume 71, being published during 2006, will consist of ...

We present an abstract framework in which we give simple proofs for Gödel's First and Second Incompleteness Theorems and obtain, as consequences, Davis', Chaitin's and Kritchman-Raz's Theorems.

At 24, Kurt Gödel established himself as perhaps the greatest logician of the 20th century. Standing against the intellectual currents of his time, he unveiled two theorems in 1930 showing that a ...

In his commentary “AI, Godel and God,” John Nassivera tries to apply Kurt Godel’s “Incompleteness Theorem,” which was published in 1931, to verify the existence of God. According to Mr. Nassivera, the ...

I’d like to add another interesting synthesis of logic and faith to Mike Kerrigan’s “God and Math at Dinner” (op-ed, Jan. 5). Gödel’s incompleteness theorems prove that certain mathematical methods ...

The loss of logical foundations might actually be liberating. What is the greatest mathematical achievement of all time? Judged in terms of the consequences for science and engineering, one might ...