Hence Universal Propositions, which consist of general terms, deceive
us, if we suppose that their predicates are directly known to be related
to all the facts denoted by their subjects. In exceptional cases, in
which the denotation of a subject is intentionally limited, such
exhaustive direct knowledge may be possible; as that "all the bones of a
certain animal consist of phosphate of lime," or that every member of
the present Parliament wears a silk hat. But what predication is
possible concerning the hats of all members of Parliament from the
beginning? Ordinarily, then, whilst the relation of predicate to subject
has been observed in some cases, in much the greater number of cases
our belief about it depends upon something besides observation, or may
be said (in a certain sense) to be taken on trust.
'All rabbits are herbivorous': why do we believe that? We may have seen
a few wild rabbits feeding: or have kept tame ones, and tried
experiments with their diet; or have read of their habits in a book of
Natural History; or have studied the anatomy and physiology of the
digestive system in many sorts of animals: but with whatever care we add
testimony and scientific method to our own observation, it still remains
true that the rabbits observed by ourselves and others are few in
comparison with those that live, have lived and will live. Similarly of
any other universal proposition; that it 'goes beyond the evidence' of
direct observation plainly follows from the fact that the general terms,
of which such propositions consist, are never exhaustively known in
their denotation. What right have we then to state Universal
Propositions? That is the problem of Inductive Logic.
§ 3. Universal Propositions, of course, cannot always be proved by
syllogisms; because to prove a universal proposition by a syllogism, its
premises must be universal propositions; and, then, these must be proved
by others. This process may sometimes go a little way, thus: _All men
are mortal_, because _All animals are_; and _All animals are mortal_,
because _All composite bodies are subject to dissolution._ Were there no
limit to such sorites, proof would always involve a _regressus ad
infinitum_, for which life is too short; but, in fact, prosyllogisms
soon fail us.
Clearly, the form of the Syllogism must itself be misleading if the
universal proposition is so: if we think that premises prove the
conclusion because they themselves have been established by detailed
observation, we are mistaken. The consideration of any example will show
this. Suppose any one to argue:
All ruminants are herbivorous;
Camels are ruminants:
∴ Camels are herbivorous.
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