Studies in the History and Method of Science, vol. 1 (of 2)
Religion
Studies in the History and Method of Science, vol. 1 (of 2)
Medicine -- History; Science -- History
The traditional logic, however, cannot treat the matter so lightly.
For the plasticity of words may always engender a conflict between
the old meaning and the new, between the scientific use of terms and
the traditional conventions about their use. And this can always
be represented as a defiance of the ‘laws of thought’. For if the
meaning of ‘_A_’ may be altered by the growth of knowledge, it will
no longer be true that everything once called ‘_A_’ is truly _A_,
nor that what was once incompatible with _A_ will continue to be so
for all time. Hence it is no longer necessarily true that ‘_A_ is
_A_’, and that _A_ cannot both be and not be _B_. It may be both in
different senses, and in what sense ‘_A_’ and ‘_B_’ should be taken
may be precisely the point at issue. Thus verbal contradiction ceases
to be a clear proof of error; it may be only a much-needed warning
that our terms have been developing new meanings. Hence, the ‘laws’
of Identity and Contradiction lose their last claims to be regarded
as statements of fact, and have to be conceived as ideal postulates
of just so much stability of meaning as is requisite for effective
understanding.[402] They can be applied to reality only hypothetically,
i.e. experimentally, to discover whether in a given situation the
natural growth in the meaning of the terms may _rightly_ be treated as
irrelevant, and does not vitiate the conclusion which the reasoning
forecasts. Now this problem can never be settled _a priori_ by
reasoning, but only by subsequent experience. Reasoning may forecast a
result which experience fails to confirm; when we discover that comets’
tails are not attracted by the sun but repelled, we do not declare
the facts ‘contradictory’, but modify our notion of ‘gravitation’,
and conceive it as inferior to ‘light pressure’ in its effects upon
particles of a certain minuteness.
It follows that no merely logical scrutiny of the terms of an
argument can ever settle a scientific question. If a ‘contradiction’
is real, it means either a difference of opinion between those
who make the incompatible assertions, or, in the case of a real
‘self-contradiction’, the uttering of ‘nonsense’ and a failure to
propound a meaning at all. But even the most glaring ‘contradictions’
may only be apparent, i.e. verbal: when we inquire into their actual
meaning we may find that they refer to a context in which its terms are
perfectly compatible. Thus the existence of a ‘round square’ may be
predicated of London, and a ‘triangle’s’ angles may equal or may exceed
two right angles, according as it belongs to Euclid’s geometry or to
Riemann’s.
Public-domain text, read in full here on John Shaqi.
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