Mr. John Stuart Mill (System of Logic, Bk. I. ch. iv. s. 2) says:--"A
remark of a similar nature may be applied to most of those
distinctions among propositions which are said to have reference to
their _modality_; as difference of tense or time; the sun _did_ rise,
_is_ rising, _will_ rise. . . . The circumstance of time is properly
considered as attaching to the copula, which is the sign of
predication, and not to the predicate. If the same cannot be said of
such modifications as these, Cæsar is _perhaps_ dead; it is
_possible_ that Cæsar is dead; it is only because these fall together
under another head; being properly assertions not of anything
relating to the fact itself, but of the state of our own mind in
regard to it; namely, our absence of disbelief of it. Thus, _Cæsar
may be dead_, means, _I am not sure that Cæsar is alive_."
I do not know whether Mr. Mill means that the function of the copula
is different in these problematical propositions, from what it is in
the categorical propositions: I think there is no difference. But his
remark that the problematical proposition is an assertion of the
state of our minds in regard to the fact, appears to me perfectly
just. Only, we ought to add, that this is equally true about the
categorical proposition. It is equally true about all the three
following propositions:--1. The three angles of a triangle may or may
not be equal to two right angles. 2. The three angles of a triangle
are equal to two right angles. 3. The three angles of a triangle are
necessarily equal to two right angles. In each of these three
propositions, an assertion of the state of our minds is involved, and
a different state of mind in each. This is the subjective aspect of
the proposition; it belongs to the form rather than to the matter,
and may be considered as a mode. The commentators preceding Ammonius
did so consider it, and said that the categorical proposition had its
mode as well as the others. Ammonius differed from them, treating the
categorical as having no mode--as the standard unit or point of
departure.
The propositions now known as Hypothetical and Disjunctive, which may
also be regarded as in a certain sense Modals, are not expressly
considered by Aristotle. In the Anal. Prior. I. xliv. p. 50 a. 16-38,
he adverts to hypothetical syllogisms, and intimates his intention of
discussing them more at length: but this intention has not been
executed, in the works that we possess.]
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