Counting  

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 +'''Counting''' is the process of determining the [[number]] of [[Element (mathematics)|elements]] of a [[finite set]] of objects. The traditional way of counting consists of continually increasing a (mental or spoken) counter by a unit for every element of the set, in some order, while marking (or displacing) those elements to avoid visiting the same element more than once, until no unmarked elements are left; if the counter was set to one after the first object, the value after visiting the final object gives the desired number of elements. The related term ''[[enumeration]]'' refers to uniquely identifying the elements of a [[Finite set|finite]] (combinatorial) [[Set (mathematics)|set]] or infinite set by assigning a number to each element.
 +
 +==See also==
 +*[[Kirby Lester Pharmacy Automation|Automated pill counter]]
 +*[[Card reading (bridge)]]
 +*[[Calculation]]
 +*[[Cardinal number]]
 +*[[Combinatorics]]
 +*[[Counting (music)]]
 +*[[Counting problem (complexity)]]
 +*[[Developmental psychology]]
 +*[[Elementary arithmetic]]
 +*[[Finger counting]]
 +*[[History of mathematics]]
 +*[[Jeton]]
 +*[[Level of measurement]]
 +*[[Ordinal number]]
 +*[[Subitizing and counting]]
 +*[[Tally mark]]
 +*[[Unary numeral system]]
 +*[[List of numbers]]
 +*[[List of numbers in various languages]]
 +*[[Yan tan tethera]] (Counting sheep in Britain)
 +
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Revision as of 12:46, 24 December 2020

"Gilbert Ryle supposedly once said that when I use an abacus, I am not counting with my mind, but with my fingers, that the abacus is my extended mind."--Sholem Stein

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Counting is the process of determining the number of elements of a finite set of objects. The traditional way of counting consists of continually increasing a (mental or spoken) counter by a unit for every element of the set, in some order, while marking (or displacing) those elements to avoid visiting the same element more than once, until no unmarked elements are left; if the counter was set to one after the first object, the value after visiting the final object gives the desired number of elements. The related term enumeration refers to uniquely identifying the elements of a finite (combinatorial) set or infinite set by assigning a number to each element.

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Unless indicated otherwise, the text in this article is either based on Wikipedia article "Counting" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

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