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Paradox at the Heart of Mathematics Makes Physics Problem ­nanswerable

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Kurt Gdel and Alan Turing

Kurt Gdel (left) demonstrated that some mathematical statements are undecidable; Alan Turing (right) connected that proof to unresolvable algorithms in computer science.

Credit: L: Pictorial Press Ltd/Alamy, R: Photoshot

A logical paradox at the heart of mathematics and computer science turns out to have implications for the real world, making a basic question about matter fundamentally unanswerable.

From Nature
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