"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 ...

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 ...

The reticent and relentlessly abstract logician Kurt Gödel might seem an unlikely candidate for popular appreciation. But that’s what Rebecca Goldstein aims for in her new book Incompleteness, an ...

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 ...

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 ...

Gödel has argued that we can cultivate the intuition or 'perception' of abstract concepts in mathematics and logic. Gödel's ideas about the intuition of concepts are not incidental to his later ...

Scientists at the University of British Columbia Okanagan say they’ve found a mathematical limit that shuts down the Simulation Hypothesis entirely. Drawing on Gödel’s incompleteness theorem, their ...