It may be worth winding the clock back to 1960, when the physicist Eugene Wigner published an article with the title “The Unreasonable Effectiveness of Mathematics in the Natural Sciences”. Physics ...

In the present article two possible meanings of the term "mathematical structure" are discussed: a formal and a nonformal one. It is claimed that contemporary mathematics is structural only in the ...

Mathematical logic provides a rigorous framework for analysing the structure of mathematical reasoning, enabling a deep understanding of both formal systems and the nature of proofs. Central to this ...

The interplay between algebraic structures and fuzzy logic has fostered significant advancements in both theoretical research and practical applications. Algebraic structures provide a rigorous ...

In today's rapidly advancing technological era, mathematics is undoubtedly the cornerstone of intelligent systems. From the laws of physics to the core algorithms of artificial intelligence, ...

The same mathematical logic, say the researchers, is found in the formation of DNA—the deoxyribonucleic acid whose cells carry the genes and all instructions for development and survival of living ...

Hallucination is fundamental to how transformer-based language models work. In fact, it's their greatest asset.

Wake up in the morning and stretch; your midsection narrows. Pull on a rubber band and it becomes thinner. One might assume that materials will always stretch and thin. Wrong. Thanks to their peculiar ...

A newly-developed mathematical method can detect geometric structure in neural activity in the brain. The method is a first step toward developing a new mathematical toolkit to uncover the structure ...