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 ...

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 ...

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 ...

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 ...

The 1930 Königsberg conference hosted two of the greatest minds in mathematics engaged in a profound struggle. The conference saw David Hilbert, largely regarded as the father of 20th-century ...