function of a
cricket team by omitting to provide himself with good fielders.
Rectilinear figures cannot be divided into triangles and quadrilaterals
because there are rectilinear figures which have more than four sides.
On the other hand, triangles can be divided into equilateral, isosceles
and scalene, since no other kind of triangle can exist. (2) Division
_must be exclusive_, that is, each species must be complete in itself
and not contain members of another species. No member of a genus must be
included in more than one of the species. (3) In every division _there
must be but one principle (fundamentum divisionis)_. The members of a
genus may differ from one another in many respects, e.g. books may be
divided according to external form into quarto, octavo, &c., or
according to binding into calf, cloth, paper-backed and so on. They
cannot, however, be divided logically into quarto, paper-backed, novels
and remainders. When more than one principle is used in a division it is
called "cross division." (4) _Division must proceed gradually_ ("Divisio
non facit saltum"), i.e. the genus must be resolved into the next
highest ("proximate") species. To go straight from a _summum genus_ to
very small species is of no scientific value.

It is to be observed that logical division is concerned exclusively with
universals or concepts; division is of genus and species, not of
particulars. Two other kinds of division are recognized:--_metaphysical
division_, the separation in thought of the various qualities possessed
by an individual thing (a piece of lead has weight, colour, &c), and
_physical division_ or _partition_, the breaking up of an object into
its parts (a watch is thought of as being composed of case, dial, works,
&c.). Logical division is closely allied with logical definition (q.v.).

DIVORCE (Lat. _divortium_, derived from dis-, apart, and vertere, to
turn), the dissolution, in whole or in part, of the tie of marriage. It
includes both the complete abrogation of the marriage relation known as
a divorce _a vinculo matrimonii_, which carries with it a power on the
part of both parties to the marriage to remarry other persons or each
other, and also that incomplete severance not involving powers to
remarry, which was formerly known as divorce a _mensa et thoro_, and has
in England been termed "judicial separation." Less strictly, divorce is
commonly understood to include judicial declarations of nullity of
marri