Vol. 100, No. 1/2, Dedicated to the Memory of Leo Esakia (February/April 2012), pp. 399-418 (20 pages) In this paper we formulate a version of Second Incompleteness Theorem. The idea is 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 ...

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 ...

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.

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 1930 Königsberg conference hosted two of the greatest minds in mathematics engaged in a profound struggle. The conference saw David Hilbert, largely regarded as the father of 20th-century ...