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Politics : Middle East Politics -- Ignore unavailable to you. Want to Upgrade?


To: Brumar89 who wrote (5351)12/23/2003 2:11:20 PM
From: Elmer Flugum  Read Replies (1) | Respond to of 6945
 
It is incoherent to you, but that is not my fault....

"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 not axioms 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
encountered the mere mathematician who could be trusted out of equal
roots, or one who did not clandestinely hold it as a point of his
faith that x2+px was absolutely and unconditionally equal to q. Say
to one of these gentlemen, by way of experiment, if you please, that
you believe occasions may occur where x2+px is not altogether equal
to q, and, having made him understand what you mean, get out of his
reach as speedily as convenient, for, beyond doubt, he will endeavor
to knock you down.
"

The Purloined Letter, Edgar Allen Poe