![]() All known human languages, except the Piraha language, have words for at least "one" and "two", and even some animals like the blackbird can distinguish a surprising number of items. Įventually, the concept of numbers became concrete and familiar enough for counting to arise, at times with sing-song mnemonics to teach sequences to others. The 3-4-5 right triangle was a device for assuring a right angle, using ropes with 12 evenly spaced knots, for example.Comparison to a standard, a method for assuming reproducibility in a measurement, for example, the number of coins. ![]() on a tally stick, eventually abstracted into numbers. One-to-one correspondence, a rule to count how many items, e.g.These concepts are implicit in concrete practices such as: But long before abstractions like the number arose, there were mathematical concepts to serve the purposes of civilization. The history of computing is longer than the history of computing hardware and modern computing technology and includes the history of methods intended for pen and paper or for chalk and slate, with or without the aid of tables.ĭigital computing is intimately tied to the representation of numbers. ![]()
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