The theorists who first created the mathematics that describe the behavior of the recently announced "invisibility cloak" have revealed a new analysis that may extend the current cloak's powers, ...

ABSTRACT In order to discuss the temporal structure of mathematical research, this essay offers four related definitions of a mathematical object from different times and places. It is argued that in ...

There is a rule in mathematics that feels so obvious it barely seems worth stating. Yet accepting it leads to objects with no size, spheres that duplicate themselves, and sets that cannot be measured ...