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
1. Some of my readers may be familiar with a very striking digression
in Buffon's Natural History (_Natural Hist. of Man_, §VIII.), in
which he supposes the first man in full possession of his faculties,
but with all his experience to gain, and speculates on the gradual
acquisition of his knowledge. Whatever may be thought of his
particular conclusions the passage is very interesting and
suggestive to any student of Psychology.
2. See also Dugald Stewart (Ed. by Hamilton; VII. pp. 115-119).
3. Required that is for purposes of logical inference within the
limits of Probability; it is not intended to imply any doubts as to
its actual universal prevalence, or its all-importance for
scientific purposes. The subject is more fully discussed in a future
chapter.
4. As particular propositions they are both of course identical in
form. The fact that the 'some' in the former corresponds to a
larger proportion than in the latter, is a distinction alien to pure
Logic.
5. The reason is obvious. The healthiest English lives in Madeira
(viz. the consumptive ones) have now ceased to be reckoned as
English; whereas the worst consumptive lives there (viz. the
English) are now increased in relative numbers.
CHAPTER X.
_CHANCE AS OPPOSED TO CAUSATION AND DESIGN._
1. The remarks in the previous chapter will have served
to clear the way for an enquiry which probably excites more
popular interest than any other within the range of our subject,
viz. the determination whether such and such events are to
be attributed to Chance on the one hand, or to Causation or
Design on the other. As the principal difficulty seems to
arise from the ambiguity with which the problem is generally
conceived and stated, owing to the extreme generality of the
conceptions involved, it becomes necessary to distinguish
clearly between the several distinct issues which are apt to
be involved.
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