inconsiderable knowledge of numbers. The humdrum vocation of
looking after a numerous progeny must have taught the mother the
rudiments of addition and subtraction; and the elements of
multiplication and division are implied in the capacity to carry
on even the rudest form of barter, such as the various tribes
must have practised from an early day.

As to political ideas, even the crudest tribal life was based on
certain conceptions of ownership, at least of tribal ownership,
and the application of the principle of likeness and difference
to which we have already referred. Each tribe, of course,
differed in some regard from other tribes, and the recognition of
these differences implied in itself a political classification. A
certain tribe took possession of a particular hunting- ground,
which became, for the time being, its home, and over which it
came to exercise certain rights. An invasion of this territory by
another tribe might lead to war, and the banding together of the
members of the tribe to repel the invader implied both a
recognition of communal unity and a species of prejudice in favor
of that community that constituted a primitive patriotism. But
this unity of action in opposing another tribe would not prevent
a certain rivalry of interest between the members of the same
tribe, which would show itself more and more prominently as the
tribe increased in size. The association of two or more persons
implies, always, the ascendency of some and the subordination of
others. Leadership and subordination are necessary correlatives
of difference of physical and mental endowment, and rivalry
between leaders would inevitably lead to the formation of
primitive political parties. With the ultimate success and
ascendency of one leader, who secures either absolute power or