ABSTRACT

Aristotle has a n observation in the Physics: 'For it is not a hard task to destroy the indivisible lines'; The arguments in the treatise are more in the nature of chopping logic than of a serious contribution to mathematics; There is little to add in the way of commentary to the very full notes added by Joachim to his translation. According to Zeno's view, 'If it be even admitted that the body moving along the line touches an infinite number of points in a finite time, then if one assume further that the quicker body traverses a greater distance in an equal time, and that the movement of thought is quickest of all, it will follow that thought will touch an infinite number of points one by one in a finite time, it is possible to count an infinity of things in a finite time. If this is impossible, there must be such a thing as an indivisible line.