Henry Longueville Mansel,
The Philosophy of the Conditioned
“ When we dream of conceiving an infinite regress of time, says Sir W. Hamilton, “we only deceive ourselves by substituting the indefinite for the infinite, than which no two notions can be more opposed.” This caution has not been attended to by some later critics. Thus, Dr. Whewell (Philosophy of Discovery, p. 324) says: “The definition of an infinite number is not that it contains all possible unities; but this—that the progress of numeration, being begun according to a certain law, goes on without limit.” This is precisely Descartes’ definition, not of the infinite, but of the indefinite. ”
