A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I — John Stuart Mill — John Shaqi
A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
John Stuart Mill · en
guarantee for the reality of consciousness, of sensations, of personal
existence; we have no other guarantee for any axiom; we have no other
guarantee for any step in a demonstration. Hence, as being taken for
granted in every act of the understanding, it must be regarded as the
Universal Postulate." But as this postulate which we are under an
"inexorable necessity" of holding true, is sometimes false; as "beliefs
that once were shown by the inconceivableness of their negations to
invariably exist, have since been found untrue," and as "beliefs that
now possess this character may some day share the same fate;" the canon
of belief laid down by Mr. Spencer is, that "the most certain
conclusion" is that "which involves the postulate the fewest times."
Reasoning, therefore, never ought to prevail against one of the
immediate beliefs (the belief in Matter, in the outward reality of
Extension, Space, and the like), because each of these involves the
postulate only once; while an argument, besides involving it in the
premises, involves it again in every step of the ratiocination, no one
of the successive acts of inference being recognised as valid except
because we cannot conceive the conclusion not to follow from the
premises.
It will be convenient to take the last part of this argument first. In
every reasoning, according to Mr. Spencer, the assumption of the
postulate is renewed at every step. At each inference we judge that the
conclusion follows from the premises, our sole warrant for that judgment
being that we cannot conceive it not to follow. Consequently if the
postulate is fallible, the conclusions of reasoning are more vitiated by
that uncertainty than direct intuitions; and the disproportion is
greater, the more numerous the steps of the argument.
To test this doctrine, let us first suppose an argument consisting only
of a single step, which would be represented by one syllogism. This
argument does rest on an assumption, and we have seen in the preceding
chapters what the assumption is. It is, that whatever has a mark, has
what it is a mark of. The evidence of this axiom I shall not consider at
present;[40] let us suppose it (with Mr. Spencer) to be the
inconceivableness of its reverse.