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ucture or origin. It is just what occurs in the languages of Africa, and, in a still greater degree, in those of America. The extent to which the numeration is carried, is a matter of more importance. Possibly a numeration limited to the first three, four, or five numbers is the effect of intellectual inferiority. It is certainly a cause that continues it. As a measure of ethnological affinity it is unimportant. In America we have, within a limited range of languages, vigesimal systems like the Mexican, and systems limited to the three first units like the Caribb. The difference between a vigesimal and decimal system arises simply from the practice of counting by the fingers and toes collectively, or the fingers alone, being prevalent; whereas the decimal system as opposed to the quinary is referrible to the numeration being extended to both hands, instead of limited to one. Numerations not extending as far as five are generally independent of the fingers in toto. Then as to the names of particular numbers. Two nations may each take the name of the number two from some natural dualism; but they may not take it from the name. For instance, one American Indian may take it from a pair of skates, another from a pair of shoes. If so, the word for two will differ in the two languages, even when the names for skate and shoe agree. All this is supported by real facts, and is no hypothetical illustration; so that the inference from it is, that, in languages where a numeral system is in the process of formation, difference in the names of the numbers is comparatively unimportant. The extent to which the numerals vary, the extent to which they agree, and the extent to which this variation and agreement are anything but coincident with geographical proximity or distance, may be seen in the following table: English : one two three. Moreton Bay : kamarah bulla mudyan. Moreton Island : karawo poonlah madan. Bijenelumbo : warat ngargark 2 + 1. Limbakarajia : erat ngargark 2 + 1. Terrutong : roka oryalk 2 + 1. Limbapyu : immuta lawidperra 2 + 1. Kowrarega : warapune quassur 2 + 1. Gudang : epiamana elabaio 2 + 1. Darnley Island : netat nes 2 + 1. Raffles Bay : loca orica orongarie. Lake Macquarie : wakol buloara ngoro. Peel River : peer pular purla. Wellington : ngungbai bula bula-ngungbai. Corio : koimoil. Jhongworong : kap. Pinegorine : youa. Gnurellean : lua. King George Sound : keyen cuetrel murben. Karaula : mal bula
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