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 ...

Kurt Gödel's incompleteness theorem demonstrates that mathematics contains true statements that cannot be proved. His proof achieves this by constructing paradoxical mathematical statements. To see ...

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 ...

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 ...

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 ...

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 ...

Description: Propositional and predicate calculus; the Godel completeness and compactness theorems; primitive recursive and recursive functions; the Godel incompleteness theorem; Tarski's theorem; ...

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 ...

Can proof of God be proven in mathematical equations? Two scientists believe they have formalized a theorem confirming the existence of God. Getty Images Oct. 27, 2013— -- Two scientists have ...

In the summer of 1942, while German U-boats roamed in wolf packs off the coast of Maine, residents in the small coastal town of Blue Hill were alarmed by the sight of a solitary figure, hands clasped ...