The quantitative infinite progression appears at first as a continual extrusion of number beyond itself. On looking closer, it is, however, apparent that in this progression quantity returns to itself: for the meaning of this progression, so far as thought goes, is the fact that number is determined by number. And this gives the quantitative ratio. Take, for example, the ratio 2:4. Here we have two magnitudes (not counted in their several immediate values) in which we are only concerned with their mutual relations. This relation of the two terms (the exponent of the ratio) is itself a magnitude, distinguished from the related magnitudes by this, that a change in it is followed by a change of the ratio, whereas the ratio is unaffected by the change of both its sides, and remains the same so long as the exponent is not changed. Consequently, in place of 2:4, we can put 3:6 without changing the ratio; as the exponent 2 remains the same in both cases. 106.] The two sides of the ratio are still immediate quanta: and the qualitative and quantitative characteristics still external to one another. But in their truth, seeing that the quantitative itself in its externality is relation to self, or seeing that the independence and the indifference of the character are combined, it is Measure. Thus quantity by means of the dialectical movement so far studied through its several stages, turns out to be a return to quality. The first notion of quantity presented to us was that of quality abrogated and absorbed. That is to say, quantity seemed an external character not identical with Being, to which it is quite immaterial. This notion, as we have seen, underlies the mathematical definition of magnitude as what can be increased or diminished. At first sight this definition may create the impression that quantity is merely whatever can be altered:--increase and diminution alike implying determination of magnitude otherwise--and may tend to confuse it with determinate Being, the second stage of quality, which in its notion is similarly conceived as alterable. We can, however, complete the definition by adding, that in quantity we have an alterable, which in spite of alterations still remains the same. The notion of quantity, it thus turns out, implies an inherent contradiction. This, contradiction is what forms the dialectic of quantity. The result of the dialectic however is not a mere return to quality, as if that were the true and quantity the false notion, but an advance to the unity and truth of both, to qualitative quantity, or Measure.