Page:O. F. Owen's Organon of Aristotle Vol. 1 (1853).djvu/33

position with respect to each other, but the other of parts, which have not that position. 2. Examples discrete. Discrete quantity is, as number and sentence, but continuous, as line, superficies, body, besides place and time. 1. Number. For, of the parts of number, there is no common term, by which its parts conjoin, as if five be a part of ten, five and five, conjoin at no common boundary, but are separated. Three, and seven, also conjoin at no common boundary, nor can you at all take a common limit of parts, in number, but they are always separated, whence number is of those things which are discrete. 2. Oratio. In like manner a sentence, for that a sentence is quantity is evident, since it is measured by a short and long syllable;^[1] but I mean a sentence produced by the voice, as its parts concur at no common limit, for there is no common limit, at which the syllables concur, but each is distinct by itself. 3. Examples continuous.
1. A line. A line, on the contrary, is continuous, for you may take a common term, at which its parts meet, namely, a point, and of a superficies, a line, for the parts of a superficies coalesce in a certain common term. 2. A superficies. So also you can take a common term in respect of body, namely, a line, or a superficies, by which the parts of body are joined. Of the same sort are time and place, for the present time is joined both to the past and to the future. 3. Time and place. Again, place is of the number of continuous things, for the parts of a body occupy a certain place, which parts join at a certain common boundary, wherefore also the parts of place, which each part of the body occupies, join at the same boundary as the parts of the body, so that place will also be continuous, since its parts join at one common boundary.

4. Relation position to some of the parts as to the above. Moreover, some things consist of parts, having position with respect to each other, but others of parts not having such position;^[2] thus the parts of a line have relative position, for each of them lies

1. Aristotle means by λόγος, a sentence subsisting in voice, not in intellect. Sulpic. He adds also, that Archytas, Athenodorus, and Ptolemy condemn the division of quantity into two kinds, and prefer that of number, magnitude, and momentum, but the reply is, that the last is a quality, the same as density.
2. Plotinus, in his first book on the Genera of Being, says, if the continued, is quantity, discrete, cannot be; but he questions it as existing in