A paper titled "Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems," published in EMS Surveys in Mathematical Sciences describes a recent ...

Hilbert’s 12th problem asked for novel analogues of the roots of unity, the building blocks for certain number systems. Now, over 100 years later, two mathematicians have produced them. Problems in ...

Unlock the full InfoQ experience by logging in! Stay updated with your favorite authors and topics, engage with content, and download exclusive resources. Yao Yue discusses the fundamental limitations ...

(PhysOrg.com) -- Just over a century ago, one of the world’s leading mathematicians posed this question to a number of his colleagues: What are the most important unsolved questions in mathematics?

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...