Quantity

Excerpts

• Quantity

  For example, astronomers tell us that the earth’s rotation is slowing down, so that each day gains in length by some inconceivably minute fraction of a second.

• Quantity

  When we have a set of things such as lengths which are measurable in terms of any one of them, we say that they are quantities of the same kind.

• Quantity

  Lengths are measured by the foot-rule. By transporting the foot-rule from place to place we judge of the equality of lengths.

• Quantity

  These preconceived conditions when accurately formulated may be called axioms of quantity.

• Quantity

  A rule which made days of violently different lengths, and which made the speeds of apparently similar operations vary utterly out of proportion to the apparent minuteness of their differences, would never do.

• Quantity

  A sense of the flux of time accompanies all our sensations and perceptions, and practically all that interests us in regard to time can be paralleled by the abstract mathematical properties which we ascribe to it.

• Quantity

  The mathematical sciences associated with them do not form the whole of mathematics, but they are the substratum of mathematical physics as at present existing.

Equations

Problems

No exercises in this chapter.