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
ascertain that these acted as often in one direction as in
the other; what we should then find was that the quoit
tended to fall short of the mark as often as beyond it.
But owing to these little causes being mostly independent
of one another, and more or less equal in their influence,
we find also that every _amount_ of excess and defect presents
the same general characteristics, and that in a large number
of throws the quantity of divergences from the mark, of any
given amount, is a tolerably determinate function, according
to a regular law, of that amount of divergence.[2]
8. The necessity of the conditions just hinted at
will best be seen by a reference to cases in which any of
them happen to be missing. Thus we know that the length
of life is on the whole tolerably regular, and so are the
numbers of those who die in successive years or centuries
of most of the commoner diseases. But it does not seem
to be the case with all diseases. What, for instance, of
the Sweating Sickness, the Black Death, the Asiatic
Cholera? The two former either do not recur, or, if they
do, recur in such a mild form as not to deserve the same
name. What in fact of any of the diseases which are
epidemic rather than endemic? All these have their causes
doubtless, and would be produced again by the recurrence
of the conditions which caused them before. But some of
them apparently do not recur at all. They seem to have
depended upon such rare conditions that their occurrence
was almost unique. And of those which do recur the course
is frequently so eccentric and irregular, often so much dependent
upon human will or want of will, as to entirely
deprive their results (that is, the annual number of deaths
which they cause) of the statistical uniformity of which we
are speaking.
The explanation probably is that one of the principal
causes in such cases is what we commonly call contagion.
If so, we have at once a cause which so far from being fixed is
subject to the utmost variability. Stringent caution may
destroy it, carelessness may aggravate it to any extent. The
will of man, as finding its expression either on the part of
government, of doctors, or of the public, may make of it
pretty nearly what is wished, though against the possibility
of its entrance into any community no precautions can absolutely
insure us.
Public-domain text, read in full here on John Shaqi.
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