Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 2.djvu/232

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FIRST BOOK. CHAPTER IV.


Of Time. Of Space. Of Matter.

(11) Time can be perceived a priori, although only in the form of a line.

(11) Space is immediately perceptible a priori.

(11) Matter can only be thought a priori.

(12) Time has no permanence, but passes away as soon as it is there.

(12) Space can never pass away, but endures through all time.

(12) The accidents change; the substance remains.

(13) Time never rests.

(13) Space is immovable.

(13) Matter is indifferent to rest and motion; i. e., it is originally disposed towards neither of the two.

(14) Everything that exists in time has duration.

(14) Everything that exists in space has a position.

(14) Everything material has the capacity for action.

(15) Time has no duration, but all duration is in it, and is the persistence of what is permanent in contrast with its restless course.

(15) Space has no motion, but all motion is in it, and it is the change of position of what is moved, in contrast with its unbroken rest.

(15) Matter is what is permanent in time and movable in space; by the comparison of what rests with what is moved we measure duration.

(16) All motion is only possible in time.

(16) All motion is only possible in space.

(16) All motion is only possible to matter.

(17) Velocity is, in equal spaces, in inverse proportion to the time.

(17) Velocity is, in equal times, in direct proportion to the space.

(17) The magnitude of the motion, the velocity being equal, is in direct geometrical proportion to the matter (mass).

(18) Time is not measurable directly through itself, but only indirectly through motion, which is in space and time together: thus the motion of the sun and of the clock measure time.

(18) Space is measurable directly through itself, and indirectly through motion, which is in time and space together: hence, for example, an hour's journey, and the distance of the fixed stars expressed as the travelling of light for so many years.

(18) Matter as such (mass) is measurable, i.e., determinable as regards its quantity only indirectly, only through the amount of the motion which it receives and imparts when it is repelled or attracted.

(19) Time is omnipresent. Every part of time is everywhere, i.e., in all space, at once.

(19) Space is eternal. Every part of it exists always.

(19) Matter is absolute. That is, it neither comes into being nor passes away, and thus its quantity can neither be increased nor diminished.