"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?

How Gödel Destroyed Search for Math's Theory of Everything | RealClearScience Mathematicians of the era sought a solid foundation for mathematics: a set of basic mathematical facts, or axioms, that ...

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 ...

Evolutionary neurobiologist Mark Changizi is obsessed with asking the question, “why?” — and as a scientist, it’s served him well. His questioning of virtually everything has led him to investigate ...

In 1942, Kurt Godel, the Austrian born logician who brought formalized mathematics to its knees with his celebrated Incompleteness Theorem, traveled from Princeton to Trenton, N.J., with Albert ...

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In his 2012 book, “Why Does the World Exist?,” Jim Holt invited a noisy swarm of physicists, theologians and novelists to stare into the abyss with him. He wanted their take on the question that had ...

We’ve been hearing a lot lately about AI (artificial intelligence). It seems it’s becoming able to do astonishing things, even touted as things beyond human capabilities. Well, everything you see on ...