His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences. In 1931, the Austrian logician Kurt ...

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 ...

In his commentary “AI, Godel and God,” John Nassivera tries to apply Kurt Godel’s “Incompleteness Theorem,” which was published in 1931, to verify the existence of God. According to Mr. Nassivera, the ...

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Kurt Gödel's incompleteness theorem demonstrates that mathematics contains true statements that cannot be proved. His proof achieves this by constructing paradoxical mathematical statements. To see ...