An introductory text-book of logic - Mellone, Sydney - Rare Books at ...

AND THE ARISTOTELIAN SYLLOGISM. l6l
EXERCISE XI.
The following questions deal with the subjects of this
chapter.
1. Upon what principle have the terms major, middle, and
minor been applied to the terms of a syllogism ? How far
are these names generally applicable ? [O.]
2. Show, with instances, that false premises may furnish
true conclusions. [L.]
3- If it be known, concerning a syllogism, that the middle
term is twice distributed, what do you know concerning the
conclusion ? Prove your answer. [L.]
4. If the major term be universal in the premises and
particular in the conclusion, determine the mood and figure,
it being understood that the mood is not a weakened one
[C]
5. Prove that in every figure, if the minor premise is
negative the major must be universal. [O.]
6. Name the rules of the syllogism which are broken by
any of the following moods :
AIA, IEA, AEI. [Jevons.]
7. What is Reduction ? Why did Aristotle consider it
necessary ? Construct a syllogism in Camestres and reduce
it directly and per impossible. [St A.]
8. Give an original example of AGO in the figure in
which it is valid, and reduce it ostensively to the first ; also
of IAI in any figure where it occurs, and prove it valid by
Reductio per impossibile. L .
[ ]
9. State the following arguments in complete logical form,
giving mood and figure, if valid ; if invalid, give the rule
or rules which are broken :
(r) (a) We know that the policy was mistaken, for other
wise it would not have failed.
(b) Only members of the society took part in the dis
cussion. You must have done so, for you are
(c]
a member.
The instance of Shakespeare proves that a man
may be a great poet and yet no fool in business
matters. [St A.]
L