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
In science, on the other hand, the assumption that we know what
meanings our terms can convey is not made as a matter of course. We may
begin with roughly labelling objects of interest, and then inquiries
may be conducted into, e.g., ‘electricity’, ‘elements’, ‘life’,
‘species’, &c., in the hope of settling what these terms _shall_ mean,
and of finding out _more_ about their meaning, and without making the
assumption that whatever new facts are discovered about them must
conform to our preconceptions and confirm our nomenclature. Thus
to a man of science it will not be cogent to argue that because an
‘element’ is (by definition) an ultimate form of matter which cannot
be broken up, and ‘radium’ breaks up, ‘radium’ is not an ‘element’,
or that because ‘species’ are eternal forms, and the Darwinian theory
claims that they are not immutable, it can be dismissed as involving
the ‘contradiction’ that a ‘species’ is not a species. Thus the best
syllogisms lose their cogency so soon as a question is raised whether
the verbal identity of their terms is an adequate guarantee of the
real identity of the things they are applied to.
§ 9. (3) It is a further presupposition of the logician’s conception of
‘proof’ that absolute truths exist, and that in the ideal demonstration
they form the premisses from which the conclusion follows. This
presupposition is not stated, and is not implied in the form of the
syllogism. For a syllogism is no less ‘valid’ if its premisses are
true only hypothetically, and not absolutely. Indeed, it is not
thought to impair the ‘validity’ of a syllogism that its premisses
should be utterly false. At any rate we can _reason_ quite as well
with hypotheses and probabilities as with absolute truths, and this
is in fact what we usually do, whether or not we are aware that our
premisses are conditional and hypothetical. This ordinary practice,
however, is resented by the traditional logic. For if our premisses are
only hypothetically true, how can they lead to conclusions which can
be declared absolutely true? And if our conclusions are not absolutely
true, how can they be certain? Are they not bound to remain infected
with the doubts which beset their premisses?[383] As we value the
certainty of our conclusions, therefore, absolutely true and certain
premisses must be procured. If they cannot be procured, even the best
formal proofs will remain hypothetical, and all truth will become
dependent on experience. For if nothing is true absolutely, and every
truth has originated humbly in a guess that has grown into a successful
hypothesis, it can always be suggested that after all it may benefit by
a little more verification. It may be true enough psychologically and
for practical purposes, but it does not realize the ideal of ‘logical
certainty’.
Public-domain text, read in full here on John Shaqi.
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