Vol. 133, No. 1/2, Foundations of the Formal Sciences I (Oct. - Nov., 2002), pp. 237-255 (19 pages) We give an overview of recent results in ordinal analysis. Therefore, we discuss the different ...

Modal logic, an extension of classical logic, investigates the modes of truth such as necessity and possibility. Its development has been closely intertwined with advances in proof theory, a field ...

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It has taken nearly four years, but mathematicians are finally starting to comprehend a mammoth proof that could revolutionise our understanding of the deep nature of numbers. Mathematicians were ...

It is a mathematical epic five years in the making. In 2012, Shinichi Mochizuki at Kyoto University in Japan produced a proof of a long standing problem called the ABC conjecture, but no one could ...