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Physics

Fiendish 'ABC proof' heralds new mathematical universe

Solving a 25-year-old puzzle meant tearing up and rebuilding the basic elements of number theory – that result could prise open other enigmas

By Jacob Aron

10 September 2012

×îÐÂÂé¶¹ÊÓÆµ. Science news and long reads from expert journalists, covering developments in science, technology, health and the environment on the website and the magazine.

Will the rug be pulled out from under the numbers as we know them?

(Image: Andrea Pistolesi/The Image Bank/Getty)

Whole numbers, addition and multiplication are among the first things schoolchildren learn, but a new mathematical proof shows that even the world’s best minds have plenty more to learn about these seemingly simple concepts.

of Kyoto University in Japan has torn up these most basic of mathematical concepts and reconstructed them as never before. The result is a fiendishly complicated proof for the decades-old “ABC conjecture” – and an alternative mathematical universe that should prise open many other outstanding enigmas.…

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