GENEVA, SWITZERLAND - APRIL 19: A detailed view of the blackboard with theoretical physics equations in chalk by Alberto Ramos, Theoretical Physics Fellow and visitor, Antonio Gonzalez-Arroyo from the ...

In 1931, the Austrian logician Kurt Gödel pulled off arguably one of the most stunning intellectual achievements in history. Mathematicians of the era sought a solid foundation for mathematics: a set ...

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 ...

Earlier today I set you the puzzle below, which is based on Gödel’s incompleteness theorem. As I discussed in the original post, this theorem is one of the most famous in maths and states that in any ...

Mark Colyvan receives funding from The Australian Research Council and from the Humboldt Foundation. The recent events surrounding Donald Trump’s first few weeks in the White House have left many ...

"All Cretans are liars", said Epimenides, a Cretan. But this means that his statement must be a lie too. But then it is false that Cretans are liars and the statement must be true. So what now?

The surprise of Kurt Gödel's incompleteness theorem of 1931 lay not so much in the incompleteness itself, but that it was found in so simple a mathematical theory as first-order arithmetic. It follows ...

In 1931, the Austrian logician Kurt Gödel published his incompleteness theorem, a result widely considered one of the greatest intellectual achievements of modern times. The theorem states that in any ...