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e taken up by its vibration. It is not necessary to believe that the duration that we actually experience as a second must itself be capable of being divided up into the number of parts indicated by the denominator of the fraction that we use in indicating such a time, and that each of these parts must be perceived as duration. There is, then, a sense in which we may affirm that time is infinitely divisible. But we must remember that apparent time--the time presented in any single experience of duration--is never infinitely divisible; and that real time, in any save a relative sense of the word, is not a single experience of duration at all. It is a recognition of the fact that experiences of duration may be substituted for each other without assignable limit. (4) But what shall we say to the last problem--to the question how we can be conscious of time at all, when the parts of time are all successive? How can we even have a consciousness of "crude" time, of apparent time, of duration in any sense of the word, when duration must be made up of moments no two of which can exist together and no one of which alone can constitute time? The past is not now, the future is not yet, the present is a mere point, as we are told, and cannot have parts. If we are conscious of time as past, present, and future, must we not be conscious of a series as a series when every member of it save one is nonexistent? Can a man be conscious of the nonexistent? The difficulty does seem a serious one, and yet I venture to affirm that, if we examine it carefully, we shall see that it is a difficulty of our own devising. The argument quietly makes an assumption--and makes it gratuitously--with which any consciousness of duration is incompatible, and then asks us how there can be such a thing as a consciousness of duration. The assumption is that _we can be conscious only of the existent_, and this, written out a little more at length, reads as follows: _we can be conscious only of the now existent_, or, in other words _of the present_. Of course, this determines from the outset that we cannot be conscious of the past and the future, of duration. The past and the future are, to be sure, nonexistent from the point of view of the present; but it should be remarked as well that the present is nonexistent from the point of view of the past or the future. If we are talking of time at all we are talking of that no two parts of which are
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