A Philosophical Essay on ProbabilitiesLaplace, Pierre Simon, marquis de
Philosophy
A Philosophical Essay on Probabilities
Laplace, Pierre Simon, marquis de
Probabilities
states of the universe by a curve, of which time would be the abscissa
and of which the ordinates are the divers states. Scarcely knowing an
element of this curve we are far from being able to go back to its
origin; and if in order to satisfy the imagination, always restless from
our ignorance of the cause of the phenomena which interest it, one
ventures some conjectures it is wise to present them only with extreme
reserve.
There exists in the estimation of probabilities a kind of illusions,
which depending especially upon the laws of the intellectual
organization demands, in order to secure oneself against them, a
profound examination of these laws. The desire to penetrate into the
future and the ratios of some remarkable events, to the predictions of
astrologers, of diviners and soothsayers, to presentiments and dreams,
to the numbers and the days reputed lucky or unlucky, have given birth
to a multitude of prejudices still very widespread. One does not reflect
upon the great number of non-coincidences which have made no impression
or which are unknown. However, it is necessary to be acquainted with
them in order to appreciate the probability of the causes to which the
coincidences are attributed. This knowledge would confirm without doubt
that which reason tells us in regard to these prejudices. Thus the
philosopher of antiquity to whom is shown in a temple, in order to exalt
the power of the god who is adored there, the _ex veto_ of all those who
after having invoked it were saved from shipwreck, presents an incident
consonant with the calculus of probabilities, observing that he does not
see inscribed the names of those who, in spite of this invocation, have
perished. Cicero has refuted all these prejudices with much reason and
eloquence in his _Treatise on Divination_, which he ends by a passage
which I shall cite; for one loves to find again among the ancients the
thunderbolts of reason, which, after having dissipated all the
prejudices by its light, shall become the sole foundation of human
institutions.
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