Counting is the mathematical action of continually adding (or
subtracting) one at a time, usually to find out how many objects there are or
to set aside a desired number of objects (starting with one for the first
object and proceeding with an injective
function from the remaining
objects to the natural numbers starting from two), or for well-ordered objects, to find the ordinal number of a particular object, or to find the
object with a particular ordinal number. (Our solved example in mathguru.com uses this concept)
Counting is also used
(primarily by children) to demonstrate knowledge of the number names and the number system. Sometimes the term counting is used to mean the same as enumeration,
i.e. finding the number of elements of a finite set.)
Counting sometimes
involves numbers other than one; for example, when counting money, counting out
change, when "counting by
twos" (2, 4, 6, 8, 10, 12…)
or when "counting by
fives" (5, 10, 15, 20, 25…).
http://en.wikipedia.org/wiki/Counting
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