ritings
on a variety of subjects, none of which is of exceptional merit.

See E. Massarani, _Cesare Correnti nella vita e nelle opere_ (1890);
and L. Carpi, _Il Risorgimento italiano_, vol. iv. (Milan, 1888).
(L. V.*)

CORRESPONDENCE (from med. scholastic Lat. _correspondentia_,
_correspondere_, compounded of Lat. _cum_, with, and _respondere_, to
answer; cf. Fr. _correspondence_), strictly a mutual agreement or
fitness of parts or character, that which fits or answers to a
requirement in another, or more generally a similarity or parallelism.
In the 17th and 18th centuries the word was frequently applied to
relations and communications between states. It is now, outside special
applications, chiefly applied to the interchange of communications by
letter, or to the letters themselves, between private individuals,
states, business houses, or from individuals to the press. The "doctrine
of correspondence or correspondences," one of the leading tenets of
Swedenborgianism, is that every natural object corresponds to and
typifies some spiritual principle or truth, this being the only key to
the true interpretation of Scripture. In mathematics, the term
"correspondence" implies the existence of some relation between the
members of two groups of objects. If each object of one group
corresponds to one and only one object of the second, and vice versa,
then a one-to-one correspondence exists between the groups. If each
object of the first group corresponds to [beta] objects of the second
group, and each object of the second group corresponds to a objects of
the first group, then an [alpha] to [beta] correspondence exists between
the two groups. For examples of the application of this notion see
CURVE.

CORREZE, a department of south-central France, formed from the southern
portion of the old province of Limousin, bounded N. by the departments
of Haute-Vienne and Creuse, E, by Puy-de-Dome, S.E. by Cantal, S. by
Lot, and W. by Dordogne. Area, 2273 sq. m. Pop. (1906) 317,430. Correze
is situated on the western fringe of the central plateau of France. It
forms a hilly tableland elevated in the east and north, and intersected
by numerous fertile river valleys, trending for the most part to the
south and south-west. The highest points, many of which exceed 3000 ft.,
are found in the north, where the Plateau de Millevaches separates the
basins of the Loire and the Garonne. Except for a small district in the
e