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Line 5: − + − − ::'''INFINITY IS NOT A NUMBER!''' − − But it comes up in many other mathematical contexts—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 is often treated as a number but is not a "real number"
That is, it is something which "goes on without end". Infinity is denoted by this symbol: <math>\infty\,</math>, looking like an 8 on its side.
That is, it is something which "goes on without end". Infinity is denoted by this symbol: <math>\infty\,</math>, looking like an 8 on its side.
Infinity comes up in many aspects of mathematical discourse. But not as a number.
Infinity comes up in many aspects of mathematical discourse and is often treated as a number, but it is not a [[real number|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.
The simplest place to see this seeming paradox is in the fact that all integers are finite, but that there are an infinite number of them.
The simplest place to see this seeming paradox is in the fact that all integers are finite, but that there are an infinite number of them.