The business of Logic is, not to enumerate false opinions, but to
enquire what property in the facts led to them, that is, what
peculiarity of relation between two facts made us suppose them
habitually conjoined or disjoined, and thus regard the presence or
absence of the one as evidence of that of the other. For every such
property in the facts, or our mode of considering them, there is a
corresponding class of Fallacies.
As the supposed habitual connexion or repugnance of two facts may be
admitted, either as a self-evident and axiomatic truth, or as itself an
inference, the first great division is into Fallacies of Simple
Inspection or _à priori_ Fallacies, and Fallacies, of Inference. But
there is also an intermediate class. For, sometimes an inference is
erroneous through our not conceiving what our premisses precisely are,
and from our therefore substituting new premisses for the old, or a new
conclusion for the one we undertook to prove; and this is called the
Fallacy of Confusion. Under this head, indeed, of Fallacies of
Confusion, might strictly be brought almost any fallacy, though falling
also under some other head: for, some of the links in an argument,
especially if sophistical, are sure to be suppressed; and, it being left
doubtful which is the proposition to be supplied, we can seldom tell
with certainty under _which_ class the fallacy absolutely comes. It is,
however, convenient to reserve the name _Fallacy of Confusion_ for cases
where Confusion is the _sole_ cause of the error.
Cases, then, where there is more or less ground for the error in _the
nature of the apparent evidence itself_, the evidence being assumed to
be of a certain sort, and a false conclusion being drawn from it, may be
classed as Fallacies of Inference. According as the apparent evidence
consists of particular facts, or of foregone generalisations, we call
the errors Fallacies of Induction or of Deduction. Each of these
classes, again, may be subdivided into two species, according as the
apparent evidence is either false, or, though true, inconclusive. Such
subdivisions of the Fallacy of Induction are respectively called, in the
former case, Fallacies of Observation (including cases where the facts
are not directly observed, but inferred), and, in the latter, Fallacies
of Generalisation. Among Fallacies of Deduction, those which proceed on
false premisses have no specific name, for they must fall under one of
the other heads of Fallacies; but those, the premisses of which, though
true, do not support the conclusion, compose a subdivision, which may be
specified as Fallacies of Ratiocination.
CHAPTER III.
FALLACIES OF SIMPLE INSPECTION; OR, À PRIORI FALLACIES.