The qualified manner in which the maxim is here enunciated by the
reviewer (what _can be shown_ to be a member of the class)
corresponds with the qualification introduced by those critics whom
Aristotle impugns ([Greek: lu/ousi ga\r ou) pha/skontes ei)de/nai
pa=san dua/da a)rti/an ou)=san, a)ll' _ê(\n i)/sasin o(/ti dua/s_]);
and the reply of Mr. Mill would have suited for these critics as well
as for the reviewer. The puzzle started in the Platonic Menon is, at
bottom, founded on the same view as that of Mr. Mill, when he states
that the major proposition of the Syllogism includes beforehand the
conclusion. "The general principle, (says Mr. Mill, p. 205), instead
of being given as evidence of the particular case, cannot itself be
taken for true without exception, until every shadow of doubt which
could affect any case comprised in it is dispelled by evidence
_aliunde_; and then what remains for the syllogism to prove? From a
general principle we cannot infer any particulars but those which the
principle itself assumes as known."
To enunciate this in the language of the Platonic Menon, we learn
nothing by or through the evidence of the Syllogism, except a part of
what we have already professed ourselves to know by asserting the
major premiss.]
Aristotle proceeds to tell us what is meant by knowing a thing
_absolutely_ or completely ([Greek: a(plô=s]). It is when we believe
ourselves to know the cause or reason through which the matter known
exists, so that it cannot but be as it is. That is what
Demonstration, or Scientific Syllogism, teaches us;[12] a Syllogism
derived from premisses true, immediate, prior to, and more knowable
than the conclusion--causes of the conclusion, and specially
appropriate thereto. These premisses must be known beforehand without
being demonstrated (_i.e._ known not through a middle term); and must
be known not merely in the sense of understanding the signification
of the terms, but also in that of being able to affirm the truth of
the proposition. _Prior_ or _more knowable_ is understood here as
prior or more knowable _by nature_ (not _relatively to us_, according
to the antithesis formerly explained); first, most universal,
undemonstrable _principia_ are meant. Some of these are Axioms, which
the learner must "bring with him from home," or know before the
teacher can instruct him in any special science; some are Definitions
of the name and its essential meaning; others, again, are Hypotheses
or affirmations of the existence of the thing defined, which the
learner must accept upon the authority of the teacher.[13] As these
are the _principia_ of Demonstration, so it is necessary that the
learner should know them, not merely as well as the conclusions
demonstrated, but even better; and that among matters contradictory
to the _principia_ there should be none that he knows better or
trusts more.[14]
Public-domain text, read in full here on John Shaqi.
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