Memorabilia Mathematica; or, the Philomath's Quotation-Book
Science
Memorabilia Mathematica; or, the Philomath's Quotation-Book
Mathematics; Mathematics -- Quotations, maxims, etc.
13. Time never rests. 13. Space never moves.
14. Everything in time has 14. Everything in space has
duration. position.
15. Time has no duration, but 15. Space has no motion, but
all duration is in time; all motion is in space;
time is the persistence of space is the change in
what is permanent in position of that which
contrast with its restless moves in contrast to its
course. imperturbable rest.
16. Motion is only possible in 16. Motion is only possible in
time. space.
17. Velocity, the space being 17. Velocity, the time being
the same, is in the inverse the same, is in the direct
ratio of the time. ratio of the space.
18. Time is not directly 18. Space is measurable directly
measurable by means of through itself and
itself but only by means of indirectly through motion
motion which takes place in which takes place in both
both space and time.... time and space....
19. Time is omnipresent: each 19. Space is eternal: each
part of it is everywhere. part of it exists always.
20. In time alone all things 20. In space alone all things
are successive. are simultaneous.
21. Time makes possible the 21. Space makes possible the
change of accidents. endurance of substance.
22. Each part of time contains 22. No part of space contains
all substance. the same substance as
another.
23. Time is the _principium 23. Space is the _principium
individuationis_. individuationis_.
24. The now is without 24. The point is without
duration. extension.
25. Time of itself is empty and 25. Space is of itself empty
indeterminate. and indeterminate.
26. Each moment is conditioned 26. The relation of each
by the one which precedes boundary in space to every
it, and only so far as this other is determined by its
one has ceased to exist. relation to any one.
(Principle of sufficient (Principle of sufficient
reason of being in time.) reason of being in space.)
27. Time makes Arithmetic 27. Space makes Geometry
possible. possible.
28. The simple element of 28. The element of Geometry
Arithmetic is unity. is the point.
--SCHOPENHAUER, A.
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