1-500 | 501-736
Book, Paragraph
501 VI, 8 | of the two parts of the time, the whole cannot be the
502 VI, 8 | whole cannot be the primary time in which it is coming to
503 VI, 8 | to a stand in the whole time not primarily but in virtue
504 VI, 8 | just as there is no primary time in which that which is in
505 VI, 8 | too there is no primary time in which that which is coming
506 VI, 8 | For let AB be the primary time in which a thing is coming
507 VI, 8 | already moved for part of the time of its movement: and that
508 VI, 8 | stand must be a period of time and not something indivisible,
509 VI, 8 | indivisible, and since all time is infinitely divisible,
510 VI, 8 | again can there be a primary time at which the being at rest
511 VI, 8 | it must be a period of time, and the thing must be at
512 VI, 8 | be no primary part of the time: and the reason is that
513 VI, 8 | are always in a period of time, and a period of time has
514 VI, 8 | of time, and a period of time has no primary part any
515 VI, 8 | in motion in a period of time and changes from something
516 VI, 8 | within a particular period of time essentially-that is to say
517 VI, 8 | not merely a part of the time in question-it is impossible
518 VI, 8 | impossible that in that time that which is in motion
519 VI, 8 | for a definite period of time, it is at rest: for it is
520 VI, 8 | to be as a whole, at the time when it is primarily changing,
521 VI, 8 | for the whole period of time is divisible), so that in
522 VI, 8 | thing not for any period of time but only at a moment that
523 VI, 8 | a moment that limits the time. It is true that at any
524 VI, 8 | it cannot in a period of time be over against that which
525 VI, 9 | motionless. This is false, for time is not composed of indivisible
526 VI, 9 | from the assumption that time is composed of moments:
527 VI, 9 | conclusion that half a given time is equal to double that
528 VI, 9 | is equal to double that time. The fallacy of the reasoning
529 VI, 9 | a body occupies an equal time in passing with equal velocity
530 VI, 9 | consequently occupied only half the time occupied by the first G,
531 VI, 9 | the two occupies an equal time in passing each A. Thirdly,
532 VI, 9 | since (so says Zeno) the time occupied by the first G
533 VI, 9 | the A’s, because an equal time is occupied by both the
534 VI, 9 | position for a period of time, and that therefore they
535 VI, 9 | position for any period of time: and in the second place
536 VI, 10 | contradictory-and let D be the primary time in which it undergoes the
537 VI, 10 | the change. Then in the time in which it is changing
538 VI, 10 | remains, then, that in the time in which it is changing,
539 VI, 10 | condition for a period of time is to be at rest. So it
540 VI, 10 | to have motion, viz. that time should be composed of moments,
541 VI, 10 | above to be impossible: time is not composed of moments,
542 VI, 10 | exactly the same way as time is made to consist of moments
543 VI, 10 | is always in a period of time and never in a moment, and
544 VI, 10 | never in a moment, and all time is divisible, for everything
545 VI, 10 | in motion there must be a time less than that in which
546 VI, 10 | it is in motion will be a time, because all motion is in
547 VI, 10 | motion is in a period of time; and all time has been shown
548 VI, 10 | period of time; and all time has been shown above to
549 VI, 10 | motion, there must be a time less than that in which
550 VI, 10 | impossible, for in less time it must traverse less distance,
551 VI, 10 | than itself, just as the time is so divisible: the fact
552 VI, 10 | infinite in respect of the time which it occupies. If it
553 VI, 10 | motion for ever so far as the time is concerned, but it will
554 VI, 10 | infinite in respect of the time that it occupies, with the
555 VII, 1 | the same in a period of time numerically one and the
556 VII, 1 | one in the same period of time, e.g. from a particular
557 VII, 1 | in a particular period of time: for if the period of time
558 VII, 1 | time: for if the period of time were not one and the same,
559 VII, 1 | let us further take the time in which A has completed
560 VII, 1 | motion of A is finite the time will also be finite. But
561 VII, 1 | motion must occupy the same time as the motion of A: but
562 VII, 1 | the motion of A: but the time occupied by the motion of
563 VII, 1 | be infinite in a finite time, which is impossible.~It
564 VII, 1 | supposition: for in a finite time there may be an infinite
565 VII, 1 | motion EZHO in the finite time K, this involves the conclusion
566 VII, 1 | passed through in a finite time: and whether the magnitude
567 VII, 2 | and perishing. (At same time it is evident that there
568 VII, 4 | equal motion in an equal time, then we may have a circumference
569 VII, 4 | a locomotion in an equal time, we may have an alteration
570 VII, 4 | by two things in an equal time that the velocities of the
571 VII, 4 | be equal. For if in the time A the quicker (B) passes
572 VII, 4 | an equal distance in less time than another: consequently
573 VII, 4 | if they occupy an equal time in accomplishing a certain
574 VII, 4 | then, that in a certain time an alteration is undergone
575 VII, 4 | equal distance in an equal time, we have to admit the equality
576 VII, 4 | genus? (We may leave the time out of account, since that
577 VII, 4 | equal velocity in an equal time they traverse the same magnitude:
578 VII, 4 | alteration occupies an equal time. But what alteration? We
579 VII, 4 | accomplished in an equal time. Are we, then, to find the
580 VII, 4 | velocity if in an equal time there are produced two things
581 VII, 4 | the other if in an equal time the product is different
582 VII, 5 | mean that it occupies a time: and by "extends to something"
583 VII, 5 | and a certain amount of time that has been occupied).
584 VII, 5 | moved B a distance G in a time D, then in the same time
585 VII, 5 | time D, then in the same time the same force A will move
586 VII, 5 | certain distance in a certain time and half the distance in
587 VII, 5 | the distance in half the time, half the motive power will
588 VII, 5 | same distance in the same time. Let E represent half the
589 VII, 5 | be traversed in the same time. But if E move Z a distance
590 VII, 5 | move Z a distance G in a time D, it does not necessarily
591 VII, 5 | the distance G in the same time. If, then, A move B a distance
592 VII, 5 | move B a distance G in a time D, it does not follow that
593 VII, 5 | being half of A, will in the time D or in any fraction of
594 VII, 5 | amount or in any length of time: otherwise one man might
595 VII, 5 | should not in any length of time fail to move the air that
596 VII, 5 | given distance in a given time, then the forces in combination
597 VII, 5 | equal distance in an equal time: for in this case the rules
598 VII, 5 | increase in a certain amount of time. Similarly we have a definite
599 VII, 5 | completed in a certain amount of time: thus in twice as much time
600 VII, 5 | time: thus in twice as much time twice as much alteration
601 VII, 5 | will occupy twice as much time: and the alteration of half
602 VII, 5 | will occupy half as much time and in half as much time
603 VII, 5 | time and in half as much time half of the object will
604 VII, 5 | again, in the same amount of time it will be altered twice
605 VII, 5 | respectively in a certain amount of time, it does not necessarily
606 VII, 5 | force will occupy twice the time in altering or increasing
607 VII, 5 | object, or that in twice the time the alteration or increase
608 VIII, 1 | is possible that at any time nothing should be in motion,
609 VIII, 1 | for an infinite period of time, and that then Mind introduced
610 VIII, 1 | throughout all previous time without there being any
611 VIII, 1 | that are motive, there is a time when there is a first movent
612 VIII, 1 | first moved, and another time when there is no such thing
613 VIII, 1 | without the existence of time? Or how can there be any
614 VIII, 1 | Or how can there be any time without the existence of
615 VIII, 1 | existence of motion? If, then, time is the number of motion
616 VIII, 1 | that, if there is always time, motion must also be eternal.
617 VIII, 1 | be eternal. But so far as time is concerned we see that
618 VIII, 1 | have had a becoming: for time, he says, is uncreated.
619 VIII, 1 | asserts the creation of time, saying that it had a becoming
620 VIII, 1 | had a becoming. Now since time cannot exist and is unthinkable
621 VIII, 1 | end, a beginning of future time and an end of past time,
622 VIII, 1 | time and an end of past time, it follows that there must
623 VIII, 1 | that there must always be time: for the extremity of the
624 VIII, 1 | extremity of the last period of time that we take must be found
625 VIII, 1 | found in some moment, since time contains no point of contact
626 VIII, 1 | end, there must always be time on both sides of it. But
627 VIII, 1 | But if this is true of time, it is evident that it must
628 VIII, 1 | also be true of motion, time being a kind of affection
629 VIII, 1 | not therefore at the same time cease to be movable-e.g.
630 VIII, 1 | it therefore at the same time cease to a be motive. Again,
631 VIII, 1 | cannot have existed at one time and not at another: in fact
632 VIII, 1 | the intermediate period of time there is a state of rest.
633 VIII, 1 | of rest for an infinite time, and then motion is started
634 VIII, 1 | lasts for an equal period of time. But it is a wrong assumption
635 VIII, 1 | contention that there never was a time when there was not motion,
636 VIII, 1 | motion, and never will be a time when there will not be motion.~
637 VIII, 2 | may exist though at one time it had not existed at all
638 VIII, 2 | same, or is different each time the string is struck, although
639 VIII, 2 | from without being at one time present, and at another
640 VIII, 2 | same motive force at one time causes a thing to be in
641 VIII, 3 | things in the world at one time are in motion and at another
642 VIII, 3 | extruded or removed in half the time: the case of the hauled
643 VIII, 3 | motion in any period of time. The amount removed is,
644 VIII, 3 | must follow a period of time in which his restoration
645 VIII, 5 | series brings us at some time or other to a movent of
646 VIII, 5 | clear that there may be a time when nothing that exists
647 VIII, 5 | said before, until at some time or other we arrived at the
648 VIII, 5 | thus it would at the same time be both teaching and being
649 VIII, 5 | thing may be at the same time both hot and not hot. So,
650 VIII, 6 | that has not parts at one time is and at another time is
651 VIII, 6 | one time is and at another time is not, that any such thing
652 VIII, 6 | process of change at one time be and at another time not
653 VIII, 6 | one time be and at another time not be). And let us further
654 VIII, 6 | imparting motion at one time are and at another time
655 VIII, 6 | time are and at another time are not. Even so, this cannot
656 VIII, 6 | that move themselves at one time to be and at another not
657 VIII, 6 | they are unmoved at one time and then again they are
658 VIII, 6 | will cause it to be at one time at rest and at another time
659 VIII, 6 | time at rest and at another time in motion.~The foregoing
660 VIII, 7 | relation to it but is at one time nearer to and at another
661 VIII, 7 | there is also priority in time and priority in perfection
662 VIII, 7 | locomotion must be primary in time: for this is the only motion
663 VIII, 7 | also make clear at the same time the truth of the assumption
664 VIII, 7 | opposite changes at the same time, the change will not be
665 VIII, 7 | continuous, but a period of time will intervene between the
666 VIII, 7 | the same thing at the same time: the point is of no importance
667 VIII, 7 | is the intervention of a time: it is this that prevents
668 VIII, 7 | present to a thing at the same time. And there is no need to
669 VIII, 7 | present to a thing at the same time. Furthermore, in the case
670 VIII, 7 | continue to exist for any time: and, if this is true of
671 VIII, 8 | thing in a single period of time and operating within a sphere
672 VIII, 8 | motion, that is to say, the time, and thirdly the sphere
673 VIII, 8 | if they occur at the same time, they arrest and stop each
674 VIII, 8 | contained within any period of time except the whole of which
675 VIII, 8 | happened at different points of time, and therefore there will
676 VIII, 8 | the intervening period of time: consequently A will be
677 VIII, 8 | at a sectional point of time and does not occupy time
678 VIII, 8 | time and does not occupy time there. In this case, therefore,
679 VIII, 8 | at a sectional point of time and has not come to be or
680 VIII, 8 | have us grant that in the time during which a motion is
681 VIII, 8 | fact that the period of time occupied in traversing the
682 VIII, 8 | infinite distances in infinite time, and the element of infinity
683 VIII, 8 | infinity is present in the time no less than in the distance.
684 VIII, 8 | is possible in a finite time to traverse or reckon an
685 VIII, 8 | is possible in a finite time to traverse an infinite
686 VIII, 8 | is made to refer to the time taken by itself (for the
687 VIII, 8 | taken by itself (for the time contains an infinite number
688 VIII, 8 | number of units either of time or of distance we must reply
689 VIII, 8 | we hold that the point of time that divides earlier from
690 VIII, 8 | to it. Let us suppose a time ABG and a thing D, D being
691 VIII, 8 | D, D being white in the time A and not-white in the time
692 VIII, 8 | time A and not-white in the time B. Then D is at the moment
693 VIII, 8 | is white during the whole time A, it is true to call it
694 VIII, 8 | for a thing at the same time to be white and not white
695 VIII, 8 | exist when it is becoming, time cannot be divisible into
696 VIII, 8 | was becoming white in the time A and that at another time
697 VIII, 8 | time A and that at another time B, a time-atom consecutive
698 VIII, 8 | then, inasmuch as in the time A it was becoming white
699 VIII, 8 | and B and therefore also a time in which the becoming took
700 VIII, 8 | those who deny atoms of time (as we do) are not affected
701 VIII, 8 | last point of the actual time in which it was becoming
702 VIII, 8 | becoming white in the whole time A, the time occupied by
703 VIII, 8 | in the whole time A, the time occupied by it in having
704 VIII, 8 | A to G it is at the same time undergoing also its locomotion
705 VIII, 8 | white does not remain any time, there must have occurred
706 VIII, 8 | becoming of not-white: for the time of the three will be the
707 VIII, 8 | from the continuity of the time in which the motion takes
708 VIII, 9 | nature, of definition, and of time alike the complete is prior
709 VIII, 9 | be motion throughout all time, and we have explained what
710 VIII, 10| motion during an infinite time. We have three things, the
711 VIII, 10| takes place, namely the time: and these are either all
712 VIII, 10| moved, and G the infinite time. Now let us suppose that
713 VIII, 10| E, a part of B. Then the time occupied by this motion
714 VIII, 10| amount moved, the longer the time occupied. It follows that
715 VIII, 10| occupied. It follows that the time Z is not infinite. Now we
716 VIII, 10| but I shall not use up the time by continually subtracting
717 VIII, 10| motion during an infinite time.~It has now to be shown
718 VIII, 10| always that which in less time than another does an equal
719 VIII, 10| then there cannot be any time in which its action could
720 VIII, 10| place. Suppose that A is the time occupied by the infinite
721 VIII, 10| pushing, and that AB is the time occupied by a finite power
722 VIII, 10| so added I shall at some time or other reach a point at
723 VIII, 10| completed the motive act in the time A: for by continual addition
724 VIII, 10| occupy the same amount of time in performing the motive
725 VIII, 10| that occupies a certain time, let us say the time Z in
726 VIII, 10| certain time, let us say the time Z in moving D. Now if I
727 VIII, 10| twice as great at BG, the time occupied by this magnitude
728 VIII, 10| proportion): so we may call this time ZH. That being so, by continually
729 VIII, 10| a lesser fraction of the time given. Therefore the force
730 VIII, 10| finite force. Moreover the time occupied by the action of
731 VIII, 10| moves something in a certain time, a greater force will do
732 VIII, 10| force will do so in a lesser time, but still a definite time,
733 VIII, 10| time, but still a definite time, in inverse proportion.
734 VIII, 10| something else at the same time, that the thrower e.g. also
735 VIII, 10| magnitude during an infinite time. But the first movent causes
736 VIII, 10| cause it during an infinite time. It is clear, therefore,
1-500 | 501-736 |