§ 2. We may begin by recalling the distinction between the denotation
and connotation of a general term: the denotation comprising the things
or events which the term is a name for; the connotation comprising the
common qualities on account of which these things are called by the same
name. Obviously, there are very few general terms whose denotation is
exhaustively known; since the denotation of a general term comprises all
the things that have its connotation, or that ever have had, or that
ever will have it, whether they exist here, or in Australia, or in the
Moon, or in the utmost stars. No one has examined all men, all mammoths,
all crystals, all falling bodies, all cases of fever, all revolutions,
all stars--nor even all planets, since from time to time new ones are
discerned. We have names for animals that existed long before there were
men to observe them, and of which we know only a few bones, the remains
of multitudinous species; and for others that may continue to exist when
men have disappeared from the earth.
If, indeed, we definitely limit the time, or place, or quantity of
matter to be explored, we may sometimes learn, within the given limits,
all that there is to know: as all the bones of a particular animal, or
the list of English monarchs hitherto, or the names of all the members
of the House of Commons at the present time. Such cases, however, do not
invalidate the above logical truth that few general terms are
exhaustively known in their denotation; for the very fact of assigning
limits of time and place impairs the generality of a term. The bones of
a certain animal may be all examined, but not the bones of all animals,
nor even of one species. The English monarchs that have reigned hitherto
may be known, but there may be many still to reign.
The general terms, then, with which Logic is chiefly concerned, the
names of Causes and Kinds, such as gravitation, diseases, social events,
minerals, plants and animals, stand for some facts that are, or have
been, known, and for a great many other similar ones that have not been,
and never will be, known. The use of a general term depends not upon our
direct knowledge of everything comprised in its denotation, but upon our
readiness to apply it to anything that has its connotation, whether we
have seen the thing or not, and even though we never can perceive it; as
when a man talks freely of the ichthyosaurus, or of the central heat of
planets, or of atoms and ether.
Public-domain text, read in full here on John Shaqi.
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