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tive of number_ (Sec.828). 2:4:: 6:12, should be read, 'As 2 _is_ to 4, so _is_ 6 to 12;' not 'As two _are_ to four, so _are_ six to twelve.' But when numerals denoting more than one, are used as adjectives, with a substantive expressed or understood, they must have a plural construction."--_Bullions, Analyt. and Pract. Gram._, 1849, p. 39. OBS. 18.--Since nouns and adjectives are different parts of speech, the suggestion, that, "Numeral _adjectives_ are _also names_, or _nouns_," is, upon the very face of it, a flat absurdity; and the notion that "the name of a number" above unity, conveys only and always the idea of unity, like an ordinary "singular noun," is an other. A number in arithmetic is most commonly an _adjective_ in grammar; and it is always, in form, an expression that tells _how many_, or--"denotes _how many things_ are spoken of."--_Chase_, p. 11. But the _name_ of a number is also a number, whenever it is _not made plural_ in form. Thus _four_ is a number, but _fours_ is not; so _ten_ is a number, but _tens_ is not. Arithmetical numbers, which run on to infinity, severally _consist_ of a _definite idea of how many_; each is a _precise count_ by the unit; _one_ being the beginning of the series, and the measure of every successive step. Grammatical numbers are only the verbal forms which distinguish one thing from more of the same sort. Thus the word _fours_ or _tens_, unless some arithmetical number be prefixed to it, signifies nothing but a mere plurality which repeats indefinitely the collective idea of _four_ or _ten_. OBS. 19.--All actual _names_ of numbers calculative, except _one_, (for _naught_, though it fills a place among numbers, is, in itself, a mere negation of number; and such terms as _oneness, unity, duality_, are not used in calculation,) are _collective nouns_--a circumstance which seems to make the discussion of the present topic appropriate to the location which is here given it under Rule 15th. Each of them denotes a particular aggregate _of units_. And if each, as signifying one whole, may convey the idea of unity, and take a singular verb; each, again, as denoting so many units, may quite as naturally take a plural verb, and be made to convey the idea of plurality. For the mere abstractness of numbers, or their separation from all "_particular objects_," by no means obliges us to limit them always to the construction with verbs singular. If it is right to say, "Two _is_ an even n
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