in at least one of the premises.
In other words, if you have premises which deal with part of a class
only, you cannot reach a conclusion about the whole class. In the
syllogism, All newspaper editors know how to write, All newspaper
editors are paid, Therefore all men who know how to write are paid, the
fallacy is obvious. But in the following, _All bitter partisans are
dangerous citizens, This man is not a bitter partisan, Therefore this
man is not a dangerous citizen_, one may have to scrutinize the
reasoning a little to see that the fallacy lies in the fact that
_dangerous citizen_ is taken universally in the conclusion, since a
proposition with a negative predicate makes an assertion about the whole
of its predicate, but that it is not taken universally in the premise in
which it occurs. A fallacy which thus arises from not noticing that a
negative predicate distributes its term is apt to be insidious.
V. No conclusion can be drawn from two negative premises.
In other words, if both the major term and the minor term lie outside
the middle term, the syllogism gives us no means of knowing what their
relation is to each other. The following example will make the reason
clear: _No amateur athlete has a salary for playing, John Gorman is not
an amateur athlete, Therefore John Gorman has a salary for playing_.
VI. If one of the premises is negative, the conclusion must be
negative.
If of the major and minor premise one is negative, then either the major
or the minor term does not agree with the middle term, and the other
does; therefore the major and minor term cannot agree with each other.
43. The Syllogism in Practical Use. The practical value of the
syllogism and its rules comes in the first place, as I have said, when
we expand a condensed form of reasoning into its full grounds in the
form of a syllogism. Our reasoned judgments ordinarily take the
shortened form, _Socrates is mortal, because he is a man; The
Corporation Tax Bill is constitutional, because it is a tax on a way of
doing business._ In each of these cases we are reasoning from a general
principle, which is previously established, and from a particular way of
conceiving the special fact before us, but we assume the general
principle as understood. In the cases above the meaning is clear without
declaring at length, _All men are mortal,_ or _All taxes on a way of
doing business are constitutional._
At any time, however, when you find a piece
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