Letters

² But where is that truly happy life? Where? Ay, where? Oh! If it were attained, one would spurn the atomic theory of Epicurus. Oh! If it were attained, one would know that there is nothing here below but the visible world. Oh! If it were attained, one would know that in the rotation of a globe on its axis, the motion of points near the poles is less rapid than of those which lie half way between them—and other such like things which we likewise know. But now, how or in what sense can I be called happy, who know not why the world is such in size as it is, when the proportions of the figures according to which it is framed do in no way hinder its being enlarged to any extent desired?

Or how might it not be said to me— nay, might we not be compelled to admit that matter is infinitely divisible; so that, starting from any given base (so to speak), a definite number of corpuscles must rise to a definite and ascertainable quantity? Wherefore, seeing that we do not admit that any particle is so small as to be insusceptible of further diminution, what compels us to admit that any assemblage of parts is so great that it cannot possibly be increased? Is there perchance some important truth in what I once suggested confidentially to Alypius, that since number, as cognisable by the understanding, is susceptible of infinite augmentation, but not of infinite diminution, because we cannot reduce it lower than to the units, number, as cognisable by the senses (and this, of course, just means quantity of material parts or bodies), is on the contrary susceptible of infinite diminution, but has a limit to its augmentation?

This may perhaps be the reason why philosophers justly pronounce riches to be found in the things about which the understanding is exercised, and poverty in those things with which the senses have to do. For what is poorer than to be susceptible of endless diminution? And what more truly rich than to increase as much as you will, to go whither you will, to return when you will and as far as you will, and to have as the object of your love that which is large and cannot be made less?

For whoever understands these numbers loves nothing so much as the unit; and no wonder, seeing that it is through it that all the other numbers can be loved by him. But to return: Why is the world the size that it is, seeing that it might have been greater or less? I do not know: its dimensions are what they are, and I can go no further. Again: Why is the world in the place it now occupies rather than in another? Here, too, it is better not to put the question; for whatever the answer might be, other questions would still remain. This one thing greatly perplexed me, that bodies could be infinitely subdivided. To this perhaps an answer has been given, by setting over against it the converse property of abstract number [viz. its susceptibility of infinite multiplication].