Some “natural” logics preserve the “constructive” nature of the existential quantifier and thus guarantee the existence of witnesses associated with existence proofs. These logics have a strong ...

Shinichi Mochizuki’s controversial mathematical proof of abc conjecture divides math experts amid cultural conflicts and ...

Today, people use complex computing networks to search for prime numbers with millions of digits. But early mathematicians ...

New AI study examines social capabilities of large language models (LLMs), affirming the overall importance of applying human ...

These geniuses have not only excelled within their areas of expertise but also profoundly impacted human knowledge and ...

The United States leads in quantum research and education, offering diverse programs that blend physics, computer science, mathematics and engineering ...

A new book on quantum physics is pleasingly full of cutting-edge topics. Yet it isn't the accessible work it promised to be ...

The internal Church thesis (𝗖𝗧​) is a logical principle stating that one can associate to any function f : ℕ → ℕ a concrete ...

Thomas Verrill designed and fabricated new chips for superconducting quantum computing under the guidance of thesis adviser ...

In an age where businesses run on code and secrets travel across fiber optics, the idea that a "quantum crisis" could suddenly make those secrets public is chilling.

IBM Quantum roadmap, processors, and infrastructure outline clear path to IBM Quantum Starling, expected to be first ...