ing things.

"Number," says Philolaus, "is great and perfect and omnipotent, and
the principle and guide of divine and human life. Number then is the
principle of order, the principle on which cosmos or ordered world
exists." Without number and the limitation which number brings,
there would only be chaos and the illimitable, a thought abhorrent
to the Greek mind.

140 "The four Ionic tribes were abolished by Kleisthenes (510 B.C.) who
created, in their place, ten new tribes founded on a new principle,
independent of the gentes and phratries. Each new tribe comprised a
certain number of demes or cantons with the enrolled proprietors and
residents in each of them. Each tribe had a chapel, sacred rites and
festivals and a common fund for such meetings, in honor of its
eponymous hero, administered by members of its own choice; and the
statues of all the ten eponymous heroes, fraternal patrons of the
democracy, were planted in the most conspicuous part of the agora of
Athens.... The demes taken altogether, included the entire surface
of Attica. Simultaneously Kleisthenes divided the year into ten
portions called Prytanies,--the fifty senators of each tribe taking
by turns the duty of constant attendance during one prytany and
receiving during that time, the title of The Prytanes. The order of
precedence among the tribes in these duties was annually determined
by lot.... Moreover, a further subdivision of the prytany into five
periods of seven days each and of the fifty tribe-senators into five
bodies of ten each, was recognized; each body of ten presided in the
senate for one period of seven days, drawing lots every day among
their number for a new chairman called Epistates, to whom, during
his day of office were confided the keys of the acropolis and the
treasury, together with the city seal." The remaining senators, not
belonging to the prytanizing tribe, might of course attend if they
chose, but the attendance of nine among them, one from each of the
remaining nine tribes, was imperatively necessary to constitute a
valid meeting and to insure a constant representation of the
collective people. During those later times--the ekklesia or formal
assembly of the citizens, was convened four times regularly during
each prytan