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 ...

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 ...

Pure mathematics is concerned with the study of abstract structures and intrinsic properties of mathematical objects, independent of practical applications. This field encompasses a variety of domains ...

The human ecosystem is made of open and closed systems. While the earth is a closed system for matter but an open system for energy, the human body is considered an open system. There is a growing ...

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 ...

Emily Riehl sees similarities between the viola, which she grew up playing, and the mathematical field of higher category theory, in which she is currently a leading participant. She thinks of the two ...

The analysis group works on a variety of themes of modern analysis including: Harmonic analysis on n-dimensional Euclidean space, Harmonic analysis on Lie groups, abstract harmonic analysis, operator ...