But if things are infinite in a descending progression, whether is each of them infinite always proceeding most downward, in the same manner as we say all things do, or is each whole indeed finite, but the beings which are produced from these are infinite? For if every being according to the beginning of itself is definite, but according to its end is infinite, there will neither be in parts nor in wholes, a conversion of beings to their proper principle, nor will that which is second in order ever have a subsistence so as to be assimilated to the extremity of a preexistent order; though as we frequently say, the summits of inferiors are conjoined with the boundaries of superiors. For where there is no last, by what contrivance can such a similitude of progression as this, and such a mutual coherence of beings be left, according to which secondary things are always conjoined to the natures prior to them? But if all things alone have an infinity of this kind, each being bounded by that which is posterior to itself, wholes will be subordinate to parts, and the parts of beings will be naturally more perfect [than wholes.] For wholes, indeed, will be without conversion to the principle prior to themselves; but parts will be converted to it after their progression. By how much the more, however, every being hastens to conjunction with that which is more perfect than itself, by so much the more must it necessarily excel, as it appears to me. And if this whole proceeding to infinity is not convolved to the summit of itself, and circularly converted and perfected according to such a conversion [it will not desire its proper good.] If, however, we admit that there is an infinity both ways these things must necessarily happen. In addition to these things, also, there will be no common object of desire to all beings, nor any union nor sympathy of them. For things which are perfectly infinite have not that which is first in them; but not having a first, we shall not be able to say what is the common end of beings, and why some things are more excellent, but others are allotted a subordinate nature. For we call one thing better and another less excellent, from proximity to that which is best, just as we define the more and the less hot from communion with that which is hot in the first degree. And in short, we form a judgment of the more and the less from a reference to that which is a maximum. It is necessary, therefore, that the boundary in beings should be that which is first and that which is last.