The incompleteness theorem is accepted as part of the mathematical canon today, but columnist Jacob Aron says it was a ...

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 ...

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 ...

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 ...

In the words of Dr. Lawrence M. Krauss, space and time cannot contain the fundamental laws of physics because they generate them. Based on fresh mathematical work, the observation challenges one of ...

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 ...

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 ...