Quotes About Geometers

There is one universe, by the definition of universe. It is not the cosmos we see through our eyes and our telescopes—that is but a single Narrative, a thread winding through a Hemn space shared by many other Narratives besides ours. Each Narrative looks like a cosmos alone, to any consciousness that partakes of it. The Geometers came from other Narratives—until they came here, and joined ours.

Jack had wondered how geometers could be so inventive as to produce so many types and families of curves. Later he had come to perceive that of curves there was no end, and the true miracle was that poets, or writers, or whoever it was that was in charge of devising new words, could keep pace with those hectic geometers, and slap names on all the whorls and snarls in the pages of the Doctor's geometry-books.

But it is the bane of psychology to suppose that where results are similar, processes must be the same. Psychologists are too apt to reason as geometers would, if the latter were to say that the diameter of a circle is the same thing as its semi-circumference, because, forsooth, they terminate in the same two points.