Infinite Number
From GM-RKB
An Infinite Number is a Number that refers to the Cardinality of an Uncountable Set.
- AKA: ∞, Infinity, Infinite, Infty, Inf.
- Context:
- It can be either a Positive Infinity or a Negative Infinity.
- It can be represented by the symbol\[\infty\](
\(\infty\)).
- Counter-Example(s):
- an Infinitesimal Number.
- Zero.
- See: Unbounded Interval.
References
2009
- (WordNet, 2009) ⇒ http://wordnetweb.princeton.edu/perl/webwn?s=infinity
- S: (n) eternity, infinity (time without end)
- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Infinity
- Infinity (symbolically represented by ∞) refers to several distinct concepts – usually linked to the idea of "without end" – which arise in philosophy, mathematics, and theology. [1] The word comes from the Latin infinitas or "unboundedness."
- In mathematics, "infinity" is often used in contexts where it is treated as if it were a number (i.e., it counts or measures things: "an infinite number of terms") but it is a different type of "number" from the real numbers. Infinity is related to limits, aleph numbers, classes in set theory, Dedekind-infinite sets, large cardinals,[2] Russell's paradox, non-standard arithmetic, hyperreal numbers, projective geometry, extended real numbers and the absolute Infinite.
