§ 875. As the question of the precise nature of this fallacy is of
some importance we will take the words of Aristotle himself
(Top. viii. 13. §§ 2, 3). 'People seem to beg the question in five
ways. First and most glaringly, when one takes for granted the very
thing that has to be proved. This by itself does not readily escape
detection, but in the case of "synonyms," that is, where the name and
the definition have the same meaning, it does so more
easily. [Footnote: Some light is thrown upon this obscure passage by a
comparison with Cat. I. § 3, where 'synonym' is defined. To take the
word here in its later and modern sense affords an easy
interpretation, which is countenanced by Alexander Aphrodisiensis, but
it is flat against the usage of Aristotle, who elsewhere gives the
name 'synonym,' not to two names for the same thing, but to two things
going under the same name. See Trendelenberg on the passage.]
Secondly, when one assumes universally that which has to be proved in
particular, as, if a man undertaking to prove that there is one
science of contraries, were to assume that there is one science of
opposites generally. For he seems to be taking for granted along with
several other things what he ought to have proved by itself.
Thirdly, when one assumes the particulars where the universal has to
be proved; for in so doing a man is taking for granted separately what
he was bound to prove along with several other things. Again, when
one assumes the question at issue by splitting it up, for instance,
if, when the point to be proved is that the art of medicine deals with
health and disease, one were to take each by itself for granted.
Lastly, if one were to take for granted one of a pair of necessary
consequences, as that the side is incommensurable with the diagonal,
when it is required to prove that the diagonal is incommensurable with
the side.'
§ 876. To sum up briefly, we may beg the question in five ways--
(1) By simply asking the opponent to grant the point which requires
to be proved;
(2) by asking him to grant some more general truth which involves
it;
(3) by asking him to grant the particular truths which it involves;
(4) by asking him to grant the component parts of it in detail;
(5) by asking him to grant a necessary consequence of it.
§ 877. The first of these five ways, namely, that of begging the
question straight off, lands us in the formal fallacy already spoken
of (§ 838), which violates the first of the general rules of
syllogism, inasmuch as a conclusion is derived from a single premiss,
to wit, itself.
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