"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?

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 ...

Gödel's Incompleteness Theorem, which proved that no formal mathematical system can demonstrate every mathematical truth, is a landmark of modern thought. It's a simple but profound statement, but 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 ...

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 ...

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 ...

Space to play or pause, M to mute, left and right arrows to seek, up and down arrows for volume. Alan Saunders: Hello, and welcome to The Philosopher's Zone. I'm Alan Saunders. Now as I mentioned a ...

Peter Woit's review of Max Tegmark's "Our Mathematical Universe" (Books, Jan. 18) emphasizes the role of math in physics but leaves out the work of 1930s mathematician Kurt Gödel and his ...

The enigmatic mathematician Kurt Godel will be the topic of a talk by Rebecca Goldstein Tuesday at Trinity College. Goldstein, a novelist and visiting professor in Trinity’s Department of Philosophy, ...