Definition is either of the subject-kind or of the property that is
grounded in it. Of the self-subsistent definition is [Greek: ousias tis
gnôrismos][54] by exposition of genus and differentia.[55] It is
indemonstrable. It presumes the reality of its subject in a postulate of
existence. It belongs to the principles of demonstration. _Summa genera_
and groups below _infimae species_ are indefinable. The former are
susceptible of elucidation by indication of what falls under them. The
latter are only describable by their accidents. There can here be no
true differentia. The artificiality of the limit to the articulation of
species was one of the points to which the downfall of Aristotle's
influence was largely due. Of a non-self-subsistent or attributive
conception definition in its highest attainable form is a recasting of
the syllogism, in which it was shown that the attribute was grounded in
the substance or self-subsistent subject of which it is. Eclipse of the
moon, e.g. is privation of light from the moon by the interposition of
the earth between it and the sun. In the scientific syllogism the
interposition of the earth is the middle term, the cause or "because"
([Greek: dioti]), the residue of the definition is conclusion. The
difference then is in verbal expression, way of putting, inflexion.[56]
If we pluck the fruit of the conclusion, severing its nexus with the
stock from which it springs, we have an imperfect form of definition,
while, if further we abandon all idea of making it adequate by
exhibition of its ground, we have, with still the same form of words, a
definition merely nominal or lexicographical. In the aporematic
treatment of the relation of definition and syllogism identical as to
one form and in one view, distinct as to another form and in another
view, much of Aristotle's discussion consists. The rest is a
consideration of scientific inquiry as converging in [Greek: mesou
zêtêsis], the investigation of the link or "because" as ground in the
nature of things. [Greek: To men gar aition to meson][57] real ground
and thought link fall together. The advance from syllogism as formal
implication is a notable one. It is not enough to have for middle term a
_causa cognoscendi_ merely. We must have a _causa essendi_. The planets
are near, and we know it by their not twinkling,[58] but science must
conceive their nearness as the cause of their not twinkling and make the
_prius_ in the real order the middle term of its syllogism. In this
irreversible catena proceeding from ground to consequent, we have left
far behind such things as the formal parity of genus and differentia
considered as falling under the same predicable,[59] and hence justified
in part Porphyry's divergence from the scheme of predicables. We need
devices, indeed, to determine priority or superior claim to be "better
known absolutely or in the order of nature," but on the whole the
problem is fairly faced.[60]
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