The Logic of Chance, 3rd edition: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to StatisticsVenn, John
Philosophy
The Logic of Chance, 3rd edition: An Essay on the Foundations and Province of the Theory of Probability, With Especial Reference to Its Logical Bearings and Its Application to Moral and Social Science and to Statistics
Venn, John
Chance; Logic, Symbolic and mathematical; Probabilities; Science -- Methodology
If we do not do this, it should be observed that we are
detaching Probability altogether from the study of things
external to us, and making it nothing else in effect than a
portion of Psychology. If we refuse to be controlled by
experience, but confine our attention to the laws according
to which belief is naturally or instinctively compounded and
distributed in our minds, we have no right then to appeal to
experience afterwards even for illustrations, unless under the
express understanding that we do not guarantee its accuracy.
Our belief in some single events, for example, might be correct,
and yet that in a compound of several (if derived merely
from our instinctive laws of belief) very possibly might not
be correct, but might lead us into practical mistakes if we
determined to act upon it. Even if the two were in accordance,
this accordance would have to be proved, which would
lead us round, by what I cannot but think a circuitous
process, to the point which has been already chosen for
commencing with.
12. De Morgan seems to imply that the doctrine
criticised above finds a justification from the analogy of
Formal Logic. If the laws of necessary inference can be
studied apart from all reference to external facts (except
by way of illustration), why not those of probable inference?
There does not, however, seem to be much force in any such
analogy. Formal Logic, at any rate under its modern or
Kantian mode of treatment, is based upon the assumption
that there are laws of thought as distinguished from laws of
things, and that these laws of thought can be ascertained and
studied without taking into account their reference to any
particular object. Now so long as we are confined to necessary
or irreversible laws, as is of course the case in ordinary
Formal Logic, this assumption leads to no special difficulties.
We mean by this, that no conflict arises between these subjective
and objective necessities. The two exist in perfect
harmony side by side, the one being the accurate counterpart
of the other. So precise is the correspondence between
them, that few persons would notice, until study of metaphysics
had called their attention to such points, that there
were these two sides to the question. They would make
their appeal to either with equal confidence, saying indifferently,
'the thing must be so,' or, 'we cannot conceive its being
otherwise.' In fact it is only since the time of Kant that
this mental analysis has been to any extent appreciated and
accepted. And even now the dominant experience school of
philosophy would not admit that there are here two really
distinct sides to the phenomenon; they maintain either that
the subjective necessity is nothing more than the consequence
by inveterate association of the objective uniformity,
or else that this so-called necessity (say in the Law of Contradiction)
is after all merely verbal, merely a different way of
saying the same thing over again in other words. Whatever
Public-domain text, read in full here on John Shaqi.
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