Leibniz amplifies this thought upon other occasions, as in his present more extended examination. "There is no infinite number, line, or quantity, if they are taken as true wholes." "We deceive ourselves in trying to imagine an absolute space which should be an infinite whole, composed of parts. There is none such. It is an idea which implies contradiction; and all these 'infinites' and 'infinitesimals' are of use only in geometry, as imaginary roots are in algebra." That which is ordinarily called the infinite, that is, the quantitative infinite, is in reality only the indefinite. "We involve ourselves in difficulty when we talk about a series of numbers extending _to_ infinity; we imagine a last term, an infinite number, or one infinitely little. But these are only fictions. All number is finite and assignable, [that is, of a certain definite quantity]; every line is the same. 'Infinites' and 'infinitesimals' signify only quantities which can be taken as large or as small as one wishes, simply for the purpose of showing that there is no error which can be assigned. Or we are to understand by the infinitely little, the state of vanishing or commencing of a quantum after the analogy of a quantum already formed." On the other hand, the true infinite "is not an aggregate, nor a whole of parts; it is not clothed with magnitude, nor does it consist in number. . . . The Absolute alone, the indivisible infinite, has true unity,--I mean God." And as he sums up the matter: "The infinite, consisting of parts, is neither one nor a whole; it cannot be brought under any notion of the mind except that of quantity. Only the infinite without parts is one, and this is not a whole [of parts]: this infinite is God."