A Philosophical Essay on Probabilities — John Shaqi
A Philosophical Essay on ProbabilitiesLaplace, Pierre Simon, marquis de
Philosophy
A Philosophical Essay on Probabilities
Laplace, Pierre Simon, marquis de
Probabilities
It follows again from this theorem that in a series of events
indefinitely prolonged the action of regular and constant causes ought
to prevail in the long run over that of irregular causes. It is this
which renders the gains of the lotteries just as certain as the products
of agriculture; the chances which they reserve assure them a benefit in
the totality of a great number of throws. Thus favorable and numerous
chances being constantly attached to the observation of the eternal
principles of reason, of justice, and of humanity which establish and
maintain societies, there is a great advantage in conforming to these
principles and of grave inconvenience in departing from them. If one
consult histories and his own experience, one will see all the facts
come to the aid of this result of calculus. Consider the happy effects
of institutions founded upon reason and the natural rights of man among
the peoples who have known how to establish and preserve them. Consider
again the advantages which good faith has procured for the governments
who have made it the basis of their conduct and how they have been
indemnified for the sacrifices which a scrupulous exactitude in keeping
their engagements has cost them. What immense credit at home! What
preponderance abroad! On the contrary, look into what an abyss of
misfortunes nations have often been precipitated by the ambition and the
perfidy of their chiefs. Every time that a great power intoxicated by
the love of conquest aspires to universal domination the sentiment of
independence produces among the menaced nations a coalition of which it
becomes almost always the victim. Similarly in the midst of the variable
causes which extend or restrain the divers states, the natural limits
acting as constant causes ought to end by prevailing. It is important
then to the stability as well as to the happiness of empires not to
extend them beyond those limits into which they are led again without
cessation by the action of the causes; just as the waters of the seas
raised by violent tempests fall again into their basins by the force of
gravity. It is again a result of the calculus of probabilities confirmed
by numerous and melancholy experiences. History treated from the point
of view of the influence of constant causes would unite to the interest
of curiosity that of offering to man most useful lessons. Sometimes we
attribute the inevitable results of these causes to the accidental
circumstances which have produced their action. It is, for example,
against the nature of things that one people should ever be governed by
another when a vast sea or a great distance separates them. It may be
affirmed that in the long run this constant cause, joining itself
without ceasing to the variable causes which act in the same way and
which the course of time develops, will end by finding them sufficiently
strong to give to a subjugated people its natural independence or to
unite it to a powerful state which may be contiguous.
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