Vol. 66, Supplement. Proceedings of the 1998 Biennial Meetings of the Philosophy of Science Association. Part I: Contributed Papers (Sep., 1999), pp. S14-S27 (14 pages) In this paper I argue that ...

Algebraic structures, encompassing groups, rings, fields and modules, have long formed the backbone of modern mathematics. Category theory, with its focus on objects and morphisms, provides a unifying ...

On a crisp fall New England day during my junior year of college, I was walking past a subway entrance when a math problem caught my eye. A man was standing near a few brainteasers he had scribbled on ...

The equal sign is the bedrock of mathematics. It seems to make an entirely fundamental and uncontroversial statement: These things are exactly the same. But there is ...

Transactions of the American Mathematical Society, Vol. 362, No. 7 (JULY 2010), pp. 3499-3533 (35 pages) We introduce a notion of Polish structure and, in doing so, provide a setting which allows the ...

A growing number of mathematicians are skeptical that the equal sign, traditionally used to show exact relationships between sets of objects, holds up to new mathematical models, WIRED reports. To ...