"Edgar Allen Poe - The Works of Edgar Allan Poe Volume 2" - читать интересную книгу автора (Poe Edgar Allan)

not have reasoned at all, and thus would have been at the mercy of
the Prefect."

"You surprise me," I said, "by these opinions, which have been
contradicted by the voice of the world. You do not mean to set at
naught the well-digested idea of centuries. The mathematical reason
has long been regarded as the reason par excellence."

" 'Il y a а pariиr,' " replied Dupin, quoting from Chamfort, " 'que
toute idйe publique, toute convention reзue est une sottise, car elle
a convenue au plus grand nombre.' The mathematicians, I grant you,
have done their best to promulgate the popular error to which you
allude, and which is none the less an error for its promulgation as
truth. With an art worthy a better cause, for example, they have
insinuated the term 'analysis' into application to algebra. The
French are the originators of this particular deception; but if a
term is of any importance - if words derive any value from
applicability - then 'analysis' conveys 'algebra' about as much as,
in Latin, 'ambitus' implies 'ambition,' 'religio' 'religion,' or
'homines honesti,' a set of honorablemen."

"You have a quarrel on hand, I see," said I, "with some of the
algebraists of Paris; but proceed."

"I dispute the availability, and thus the value, of that reason which
is cultivated in any especial form other than the abstractly logical.
I dispute, in particular, the reason educed by mathematical study.
The mathematics are the science of form and quantity; mathematical
reasoning is merely logic applied to observation upon form and
quantity. The great error lies in supposing that even the truths of
what is called pure algebra, are abstract or general truths. And this
error is so egregious that I am confounded at the universality with
which it has been received. Mathematical axioms are notaxioms of
general truth. What is true of relation - of form and quantity - is
often grossly false in regard to morals, for example. In this latter
science it is very usually untrue that the aggregated parts are equal
to the whole. In chemistry also the axiom fails. In the consideration
of motive it fails; for two motives, each of a given value, have not,
necessarily, a value when united, equal to the sum of their values
apart. There are numerous other mathematical truths which are only
truths within the limits of relation. But the mathematician argues,
from his finite truths, through habit, as if they were of an
absolutely general applicability - as the world indeed imagines them
to be. Bryant, in his very learned 'Mythology,' mentions an analogous
source of error, when he says that 'although the Pagan fables are not
believed, yet we forget ourselves continually, and make inferences
from them as existing realities.' With the algebraists, however, who
are Pagans themselves, the 'Pagan fables' are believed, and the
inferences are made, not so much through lapse of memory, as through
an unaccountable addling of the brains. In short, I never yet