A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
This maxim, however, when considered as a principle of reasoning,
appears suited to a system of metaphysics once indeed generally
received, but which for the last two centuries has been considered as
finally abandoned, though there have not been wanting in our own day
attempts at its revival. So long as what are termed Universals were
regarded as a peculiar kind of substances, having an objective existence
distinct from the individual objects classed under them, the _dictum de
omni_ conveyed an important meaning; because it expressed the
intercommunity of nature, which it was necessary on that theory that we
should suppose to exist between those general substances and the
particular substances which were subordinated to them. That everything
predicable of the universal was predicable of the various individuals
contained under it, was then no identical proposition, but a statement
of what was conceived as a fundamental law of the universe. The
assertion that the entire nature and properties of the _substantia
secunda_ formed part of the nature and properties of each of the
individual substances called by the same name; that the properties of
Man, for example, were properties of all men; was a proposition of real
significance when man did not _mean_ all men, but something inherent in
men, and vastly superior to them in dignity. Now, however, when it is
known that a class, an universal, a genus or species, is not an entity
_per se_, but neither more nor less than the individual substances
themselves which are placed in the class, and that there is nothing real
in the matter except those objects, a common name given to them, and
common attributes indicated by the name; what, I should be glad to know,
do we learn by being told, that whatever can be affirmed of a class, may
be affirmed of every object contained in the class? The class is nothing
but the objects contained in it: and the _dictum de omni_ merely amounts
to the identical proposition, that whatever is true of certain objects,
is true of each of those objects. If all ratiocination were no more than
the application of this maxim to particular cases, the syllogism would
indeed be, what it has so often been declared to be, solemn trifling.
The _dictum de omni_ is on a par with another truth, which in its time
was also reckoned of great importance, "Whatever is, is." To give any
real meaning to the _dictum de omni_, we must consider it not as an
axiom, but as a definition; we must look upon it as intended to explain,
in a circuitous and paraphrastic manner, the meaning of the word,
_class_.