[Footnote 65: Aldrich (Artis Log. Rudim. ch. iii. 9, 2, p. 175) and
Archbishop Whately (Elem. of Logic, ch. i. p. 209) agree in treating
the argument of Induction as a defective or informal Syllogism: see
also to the same purpose Sir.** W. Hamilton, Lectures on Logic, vol.
i. p. 322. Aldrich treats it as a Syllogism in _Barbara_, with the
minor suppressed; but Whately rejects this, because the minor
necessary to be supplied is false. He maintains that the premiss
suppressed is the major, not the minor. I dissent from both. It
appears to me that the opinion which Whately pronounces to be a
fallacy is the real truth: "Induction is a distinct kind of argument
from the Syllogism" (p. 208). It is the essential property of the
Syllogism, as defined by Aristotle and by every one after him, that
the truth of the conclusion follows _necessarily_ from the truth of
its premisses: that you cannot admit the premisses and reject the
conclusion without contradicting yourself. Now this is what the best
Induction never attains; and I contend that the presence or absence
of this important characteristic is quite enough to constitute "two
_distinct kinds_ of argument." Whately objects to Aldrich (whom
Hamilton defends) for supplying a suppressed _minor_, because it is
"manifestly false" (p. 209). I object to Whately's supplied _major_,
because it is uncertified, and therefore cannot be used to prove any
conclusion. By clothing arguments from Induction in syllogistic form,
we invest them with a character of necessity which does not really
belong to them. The establishment of general propositions, and the
interpretation of them when established (to use the phraseology of
Mr. Mill), must always be distinct mental processes; and the forms
appropriate to the latter, involving necessary sequence, ought not to
be employed to disguise the want of necessity--the varying and
graduated probability, inherent in the former. Mr. Mill says (Syst.
Log. Bk. III. ch. iii. s. 1, p. 343, 5th ed.:)--"As Whately remarks,
every induction is a syllogism with the major premiss suppressed; or
(as I prefer expressing it) every induction may be thrown into the
form of a syllogism, by supplying a major premiss." Even in this
modified phraseology, I cannot admit the propriety of throwing
Induction into syllogistic forms of argument. By doing this we efface
the special character of Induction, as the jump from particular
cases, more or fewer, to an universal proposition comprising them and
an indefinite number of others besides. To state this in forms which
imply that it is a necessary step, involving nothing more than the
interpretation of a higher universal proposition, appears to me
unphilosophical. Mr. Mill says with truth (in his admirable chapter
explaining the real function of the major premiss in a Syllogism, p.
211), that the individual cases are all the evidence which we
possess; the step from them to universal propositions ought not to be