"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?
Out in the remotest regions of mathematics, far from the bustling and long-populated center, out where this great thriving empire adjoins the windswept badlands of philosophy, is the topic called ...
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 ...
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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 ...