That's really the technical definition. NOVA: Is there a difference between the mathematical concept of infinity and infinity in terms, say, of space or time—the philosophical concept?

By solving part of the Langlands program, a mathematical proof that was long thought to be unachievable, Dennis Gaitsgory ...

mathematics that does not necessarily describe a real physical system. This can include developing the fundamental tools used by mathematicians, such as algebra and calculus, describing multi ...