The principles of science : $b a treatise on logic and scientific methodJevons, William Stanley
Philosophy
The principles of science : $b a treatise on logic and scientific method
Jevons, William Stanley
Logic; Science -- Methodology
At the end of every problem, when no further questions need be
addressed to the machine, we press the Finis key, which has the effect
of bringing into view the whole of the conceivable combinations of
the alphabet. This key in fact obliterates the conditions impressed
upon the machine by moving back into their ordinary places those
combinations which had been rejected as inconsistent with the premises.
Before beginning any new problem it is requisite to observe that the
whole sixteen combinations are visible. After the Finis key has been
used the machine represents a mind endowed with powers of thought,
but wholly devoid of knowledge. It would not in that condition give
any answer but such as would consist in the primary laws of thought
themselves. But when any proposition is worked upon the keys, the
machine analyses and digests the meaning of it and becomes charged with
the knowledge embodied in that proposition. Accordingly it is able
to return as an answer any description of a term or class so far as
furnished by that proposition in accordance with the Laws of Thought.
The machine is thus the embodiment of a true logical system. The
combinations are classified, selected or rejected, just as they should
be by a reasoning mind, so that at each step in a problem, the Logical
Alphabet represents the proper condition of a mind exempt from mistake.
It cannot be asserted indeed that the machine entirely supersedes the
agency of conscious thought; mental labour is required in interpreting
the meaning of grammatical expressions, and in correctly impressing
that meaning on the machine; it is further required in gathering
the conclusion from the remaining combinations. Nevertheless the
true process of logical inference is really accomplished in a purely
mechanical manner.
It is worthy of remark that the machine can detect any
self-contradiction existing between the premises presented to it;
should the premises be self-contradictory it will be found that one or
more of the letter-terms disappears entirely from the Logical Alphabet.
Thus if we work the two propositions, A is B, and A is not-B, and then
inquire for a description of A, the machine will refuse to give it
by exhibiting no combination at all containing A. This result is in
agreement with the law, which I have explained, that every term must
have its negative (p. 74). Accordingly, whenever any one of the letters
A, B, C, D, *a*, *b*, *c*, *d*, wholly disappears from the alphabet,
it may be safely inferred that some act of self-contradiction has been
committed.
It ought to be carefully observed that the logical machine cannot
receive a simple identity of the form A = B except in the double form
of A = B and B = A. To work the proposition A = B, it is therefore
necessary to press the keys--
A (left), copula, B (right), full stop;
B (left), copula, A (right), full stop.
Public-domain text, read in full here on John Shaqi.
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