Page:The Works of John Locke - 1823 - vol 01.djvu/70

From Wikisource
Jump to navigation Jump to search
This page needs to be proofread.
lxiv
The Contents.
CHAPTER XV.

OF DURATION AND EXPANSION CONSIDERED TOGETHER.

SECT.
1. Both capable of greater and less.
2. Expansion not bounded by matter.
3. Nor duration by motion.
4. Why men more easily admit infinite duration than infinite expansion.
5. Time to duration is as place to expansion.
6. Time and place are taken for so much of either as are set out by the existence and motion of bodies.
7. Sometimes for so much of either as we design by measure taken from the bulk or motion of bodies.
8. They belong to all beings.
9. All the parts of extension are extension; and all the parts of duration are duration.
10. Their parts inseparable.
11. Duration is as a line, expansion as a solid.
12. Duration has never two parts together, expansion all together.
CHAPTER XVI.

OF NUMBER.

SECT.
1. Number, the simplest and most universal idea.
2. Its modes made by addition.
3. Each mode distinct.
4. Therefore demonstrations in numbers the most precise.
5, 6. Names necessary to numbers.
7. Why children number not earlier.
8. Number measures all measurables.
CHAPTER XVII.

OF INFINITY.

SECT.
1. Infinity in its original intentions attributed to space, duration, and number.
2. The idea of finite easily got.
3. How we come by the idea of infinity.
4. Our idea of space boundless.
5. And so of duration.
6. Why other ideas are not capable of infinity.
7. Difference between infinity of space and space infinite.
8. e have no idea of infinite space.
9. umber affords us the clearest idea of infinity.