# Infinity

**Infinity** (symbol: ∞) is an abstract Template:Wiki describing something without any limit and is relevant in a number of fields, predominantly mathematics and physics. The English word infinity derives from Template:Wiki **infinitas**, which can be translated as "unboundedness", itself calqued from the Template:Wiki word apeiros, meaning "**endless**".

In mathematics, "infinity" is often treated as if it were a number (i.e., it counts or measures things: "an infinite number of terms") but it is not the same sort of number as the real numbers. In number systems incorporating infinitesimals, the reciprocal of an infinitesimal is an infinite number, i.e., a number greater than any real number. Template:Wiki formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the Template:Wiki he developed, there are infinite sets of different "sizes" (called cardinalities). For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable. Template:W