when the extreme in the premiss that stands first is predicate in
the conclusion, we are said to have a Direct Mood;
when the extreme in the premiss that stands second is predicate in
the conclusion, we are said to have an Indirect Mood.
§ 660. FIGURE 1.
_Mood AA._
All B is A.
All C is B.
.'. All C is A, or Some A is C, (Barbara & Bramantip).
_Mood AE._
All B is A.
No C is B.
.'. Illicit Process, or Some A is not C, (Fesapo).
_Mood AI._
All B is A.
Some C is B.
.'. Some C is A, or Some A is C. (Darii & Disamis).
_Mood AO._
All B is A.
Some C is not B.
.'. Illicit Process, (Ferio).
_Mood EA._
No B is A.
All C is B.
.'. No C is A, or No A is C, (Celarent & Camenes).
_Mood EI._
No B is A.
Some C is B.
.'. Some C is not A, or Illicit Process.
_Mood IA._
Some B is A.
All C is B.
.'. Undistributed Middle.
_Mood IE._
Some B is C. Some B is not A.
No A is B. All C is B.
.'. Illicit Process, or Some C is not A, (Fresison).
_Mood OA._
Some B is not A.
All C is B.
.'. Undistributed Middle.
§ 661. Thus we are left with six valid moods, which yield four direct
conclusions and five indirect ones, corresponding to the four moods of
the original first figure and the five moods of the original fourth,
which appear now as indirect moods of the first figure.
§ 662. But why, it maybe asked, should not the moods of the first
figure equally well be regarded as indirect moods of the fourth? For
this reason-that all the moods of the fourth figure can be elicited
out of premisses in which the terms stand in the order of the first,
whereas the converse is not the case. If, while retaining the quantity
and quality of the above premisses, i. e. the mood, we were in each
case to transpose the terms, we should find that we were left with
five valid moods instead of six, since AI in the reverse order of the
terms involves undistributed middle; and, though we should have
Celarent indirect to Camenes, and Darii to Dimaris, we should never
arrive at the conclusion of Barbara or have anything exactly
equivalent to Ferio. In place of Barbara, Bramantip would yield as an
indirect mood only the subaltern AAI in the first figure. Both Fesapo
and Fresison would result in an illicit process, if we attempted to
extract the conclusion of Ferio from them as an indirect mood. The
nearest approach we could make to Ferio would be the mood EAO in the
first figure, which may be elicited indirectly from the premisses of
CAMENES, being subaltern to CELARENT. For these reasons the moods of
the fourth figure are rightly to be regarded as indirect moods of the
first, and not vice versâ.
$663. FIGURE II.
_Mood AA._
All A is B.
All C is B.
.'. Undistributed Middle.
_Mood AE._
All A is B.
No C is B.
.'. No C is A, or No A is C, (Camestres & Cesare).
_Mood AI._
All A is B.
Some C is B.
.'. Undistributed Middle.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account