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The existence of infinity implies the existence of its two opposites, [[zero]] and [[negative infinity]].  Zero is the amount that is infinitely small.

The existence of infinity implies the existence of its two opposites, [[zero]] and [[negative infinity]].  Zero is the amount that is infinitely small.

Infinity is denoted in mathematics by this symbol:<math>\infty\,</math>, looking like an 8 on its side.

Infinity is denoted in mathematics by this symbol: <math>\infty\,</math>, looking like an 8 on its side.

Infinity comes up in many aspects of mathematical discourse and is often treated as a number, but it is not a [[real number]]. In mathematical contexts, infinity often appears as a limit, as an integral, as the measure (size) of a set in Euclidean space, and as the cardinality (size) of sets in general.

Infinity comes up in many aspects of mathematical discourse and is often treated as a number, but it is not a [[real number]]. In mathematical contexts, infinity often appears as a limit, as an integral, as the measure (size) of a set in Euclidean space, and as the cardinality (size) of sets in general.