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 ...

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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 ...

"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?