The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum ...

This paper explores the set theoretic assumptions used in the current published proof of Fermat's Last Theorem, how these assumptions figure in the methods Wiles uses, and the currently known ...

Research from all publishers Recent investigations in modal logic and proof theory have yielded promising advancements in both the design and analysis of proof systems.

Ne’Kiya Jackson and Calcea Johnson have published a paper on a new way to prove the 2000-year-old Pythagorean theorem. Their work began in a high school math contest.

The scope of Knowledge, Rationality and Action is interdisciplinary: it will be of interest to researchers in the fields of artificial intelligence, agents, computer science, knowledge representation, ...

500 pages of hard 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 ...