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In early forms of speech the number five was often expressed by the word for hand, and ten by two hands. Communicating this concept to others would have led to the invention of a word for “three.”
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An abstract idea of number may have occurred to an intellectually gifted ancestor who developed the concept of “threeness,” perceiving that a group of three deer and three spears had something in common.
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Our ancestors may originally have had a word for three people and another for three axes. The pressure may have been greater if, instead of gazelles, hostile tribesmen were observed. There were compelling evolutionary pressures to be able to communicate a distinction, not necessarily a precise distinction, between the sudden appearance of two, six, and eighteen gazelles.
Mathematica 7 bold axes numbers series#
This need not have involved counting, or the concept of an increasing series of numbers, but the need to track particular occurrences.Ĭounting may have evolved nearly as early as speech. Three would be two-one, and four would be two-two. Among some prehistoric peoples, the one, two, many system may have been extended to allow the representation of groups of three or four objects by repeating the representations for one or two. This could be done without enumerating the nights in a month.Įvery known human language has a word for one, a word for two, and a word for many.
Mathematica 7 bold axes numbers full#
A notch may be carved in a stick for each night after a full moon, until the next full moon, and the notches may be marked off to predict the beginning of subsequent lunar months. A tally system might have been used to keep track of the days in a lunar month. Tallying is likely to have predated counting and the use of words to denote specific quantities. The use of numbers may predate Homo sapiens. There was a need among our ancestral hunter-gatherers for a way of distinguishing between one and many, be it days, offspring, prey, or feared predators. and takes the form of a wolf bone found in eastern Europe, with a series of notches carved in it, which seem to represent a tally of some kind. Early physical evidence of the use of numbers by humans dates from 30,000 B.C. The origin of numbers is prehistoric, in the Paleolithic period. Numbers are abstract ideas used in designating quantities, as in counting or measuring.