For nearly a decade, Voevodsky has been advocating the virtues of computer proof assistants and developing univalent foundations in order to bring the languages of mathematics and computer ...

Brain-imaging techniques have made it possible to explore the neural foundations of logical and mathematical cognition. These techniques are revealing more than simply where these high-order ...

which is the most commonly studied form of set theory and the most well known set of axioms as well. From these nine axioms, one can derive all of mathematics. These provide the foundation of ...

Excavation, footing forming and concrete placement on day one; wall forming and concrete placement on day two; and form stripping ... such as residential foundations, intended to cover the ...

How did these layers fit together, and did the order matter ... These results raise questions about the universality of mathematics and the form that math takes in other cultures.

GREENVILLE, N.C. (WITN) - Two health foundations in Eastern North Carolina are working together to form a new ... and the Vidant Health Foundation in order to boost philanthropic support for ...

In its most basic form, infinity is defined as a never ... that lie ahead may change the way we view the very foundations of mathematics. In conclusion, the new findings in the study of infinity ...

From the axiom of choice follows the so-called Vitali theorem, according to which you can form a set of real ... the very foundations of mathematics would be flawed, and the entire subject would ...

This course will discuss fundamental concepts and tools in discrete mathematics with emphasis on their applications to computer science. Example topics include logic and Boolean circuits; sets, ...

the so-called "father of algebra," established the fundamentals for solving equations that we began to set the foundations for modern mathematics. In this excerpt from her new book "Vector ...

For nearly a decade, Voevodsky has been advocating the virtues of computer proof assistants and developing univalent foundations in order ... into a form that computers can use to check proofs. So ...