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
In the above case the appeal to the process of production
was subsidiary, but when we come to consider the nature of
a very small succession or group this appeal becomes much
more important. Let us be told of a certain succession of
'heads' and 'tails' to the number of ten. The range here is
far too small for decision, and unless we are told whether the
agent who obtained them was tossing or designing we are
quite unable to say whether or not the designation of 'random'
ought to be applied to the result obtained. The truth
must never be forgotten that though 'design' is sure to
break down in the long run if it make the attempt to produce
directly the semblance of randomness,[4] yet for a short
spell it can simulate it perfectly. Any short succession, say
of heads and tails, may have been equally well brought
about by tossing or by deliberate choice.
13. The reader will observe that this question of
randomness is being here treated as simply one of ultimate
statistical fact. I have fully admitted that this is not the
primitive conception, nor is it the popular interpretation,
but to adopt it seems the only course open to us if we are to
draw inferences such as those contemplated in Probability.
When we look to the producing agency of the ultimate
arrangement we may find this very various. It may prove
itself to be (a few stages back) one of conscious deliberate
purpose, as in drawing a card or tossing a die: it may be
the outcome of an extremely complicated interaction of many
natural causes, as in the arrangement of the flowers scattered
over a lawn or meadow: it may be of a kind of which we
know literally nothing whatever, as in the case of the actual
arrangement of the stars relatively to each other.
Public-domain text, read in full here on John Shaqi.
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