really easy to understand Anaximander's meaning, other than that the
abstract has a higher significance than the concrete. The speculations
of Thales had tended toward discovering the material constitution of the
universe upon an _induction_ from observed facts, and thus made water to
be the origin of all things. Anaximander, accustomed to view things in
the abstract, could not accept so concrete a thing as water; his
speculations tended toward mathematics, to the science of pure
_deduction_. The primary Being is a unity, one in all, comprising within
itself the multiplicity of elements from which all mundane things are
composed. It is only in infinity that the perpetual changes of things
can take place. Thus Anaximander, an original but vague thinker,
prepared the way for Pythagoras.

This later philosopher and mathematician, born about the year 600 B.C.,
stands as one of the great names of antiquity; but his life is shrouded
in dim magnificence. The old historians paint him as "clothed in robes
of white, his head covered with gold, his aspect grave and majestic,
rapt in the contemplation of the mysteries of existence, listening to
the music of Homer and Hesiod, or to the harmony of the spheres."

Pythagoras was supposed to be a native of Samos. When quite young, being
devoted to learning, he quitted his country and went to Egypt, where he
learned its language and all the secret mysteries of the priests. He
then returned to Samos, but finding the island under the dominion of a
tyrant he fled to Crotona, in Italy, where he gained great reputation
for wisdom, and made laws for the Italians. His pupils were about three
hundred in number. He wrote three books, which were extant in the time
of Diogenes Laertius,--one on Education, one on Politics, and one on
Natural Philosophy. He also wrote an epic poem on the universe, to which
he gave the name of _Kosmos_.