Infinity (commonly represented
as the symbol
∞)
comes from the Latin infinitas
or
"unboundedness." It refers to several distinct concepts (usually
linked to the idea of "without end") which arise in
philosophy, mathematics, and
theology.
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" than the real
numbers. Infinity is related
to limits, aleph
numbers, classes in set
theory, Dedekind-infinite sets, large
cardinals,[1] Russell's paradox, non-standard arithmetic, hyperreal numbers, projective geometry, extended real numbers and the
absolute Infinite.
