A Philosophical Essay on ProbabilitiesLaplace, Pierre Simon, marquis de
Philosophy
A Philosophical Essay on Probabilities
Laplace, Pierre Simon, marquis de
Probabilities
I count again among illusions the application which Liebnitz and Daniel
Bernoulli have made of the calculus of probabilities to the summation of
series. If one reduces the fraction whose numerator is unity and whose
denominator is unity plus a variable, in a series prescribed by the
ratio to the powers of this variable, it is easy to see that in
supposing the variable equal to unity the fraction becomes ½, and the
series becomes plus one, minus one, plus one, minus one, etc. In adding
the first two terms, the second two, and so on, the series is
transformed into another of which each term is zero. Grandi, an Italian
Jesuit, concluded from this the possibility of the creation; because the
series being always ½, he saw this fraction spring from an infinity of
zeros or from nothing. It was thus that Liebnitz believed he saw the
image of creation in his binary arithmetic where he employed only the
two characters, unity and zero. He imagined, since God can be
represented by unity and nothing by zero, that the Supreme Being had
drawn from nothing all beings, as unity with zero expresses all the
numbers in this system of arithmetic. This idea was so pleasing to
Liebnitz that he communicated it to the Jesuit Grimaldi, president of
the tribunal of mathematics in China, in the hope that this emblem of
creation would convert to Christianity the emperor there who
particularly loved the sciences. I report this incident only to show to
what extent the prejudices of infancy can mislead the greatest men.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account