§ 842. The Fallacies of Undistributed Middle and Illicit Process have
been treated of under §§ 585, 586. The heading 'Negative Premisses
and Conclusion' covers violations of the three general rules of
syllogism relating to negative premisses (§§ 590-593). Here is an
instance of the particular form of the fallacy which consists in the
attempt to extract an affirmative conclusion out of two negative
premisses--
All salmon are fish, for neither salmon nor fish belong to the class
mammalia.
The accident of a conclusion being true often helps to conceal the
fact that it is illegitimately arrived at. The formal fallacies which
have just been enumerated find no place in Aristotle's division. The
reason is plain. His object was to enumerate the various modes in
which a sophist might snatch an apparent victory, whereas by openly
violating any of the laws of syllogism a disputant would be simply
courting defeat.
§ 843. We now revert to Aristotle's classification of fallacies, or
rather of Modes of Refutation. We will take the species he enumerates
in their order, and notice how modern usage has departed from the
original meaning of the terms. Let it be borne in mind that, when the
deception was not in the language, Aristotle did not trouble himself
to determine whether it lay in the matter or in the form of thought.
§ 844. The following scheme presents the Aristotelian classification
to the eye at a glance:--
| |--Equivocation.
| |--Amphiboly.
|--In the language -|--Composition.
| |--Division.
| |--Accent.
| |--Figure of Speech.
Modes of -|
Refutation. | |--Accident.
| |--A dicto secundum quid.
| |--Ignoratio Elenchi.
|--Outside the language -|--Consequent.
| |--Petitio Principii.
| |--Non causa pro causa.
| |--Many Questions.
[Footnote: for "In the language": The Greek is [Greek: para ten lexin],
the exact meaning of which is; 'due to the statement.']
§ 845. The Fallacy of Equivocation [Greek: òmonumía] consists in an
ambiguous use of any of the three terms of a syllogism. If, for
instance, anyone were to argue thus--
No human being is made of paper,
All pages are human beings,
.'. No pages are made of paper--
the conclusion would appear paradoxical, if the minor term were there
taken in a different sense from that which it bore in its proper
premiss. This therefore would be an instance of the fallacy of
Equivocal Minor.
§ 846. For a glaring instance of the fallacy of Equivocal Major, we
may take the following--
No courageous creature flies,
The eagle is a courageous creature,
.'. The eagle does not fly--
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