(2^
(64) - 1 )
Epigraphic Note: For those of you with the advanced mathematical
ability required to solve the above equation, you know that the sum it equals
out to is an incredibly large one. In
fact, the computational effort required to solve the above equation has a great
deal to do with my topic for this week’s post, but for those of us who are only
able to see the above written numbers as so many arbritary symbols embedded on a
page, just know that this equation just serves as one more cultural scheme in
the interest of codifying legend...
We will return to the
equation momentarily, but for now I’d like to discuss some of the reasons that
this type of formula is so vitally important to human understanding. Katherine Hayles lays out a very informative
and convincing discussion on the subject of code’s proper placement within the
framework of the formerly recognized communicative legacy systems of speech and
writing. There were some particularly
interesting moments in her writing when she compared binary digits (the
smallest meaningful units of computer code in this case) to Derrida’s gram (the
smallest meaningful unit of written language).
Here, Hayles discusses the material constraints of the sign and points
out a sort of standard deviation for meaningful units that can be arrived at by
discerning the range of significance a particular sign can convey. The binary number makes for a good example
here because, as she points out in her example of the transistor to transistor
logic chips that used 0 for no voltage and the digit 1 to signify five
volts, the range for error here can be
very vast when dealing with complex computations. This really works to bring home the idea of
how slippery the slope of signification actually is, and it is quite
fascinating. After reading Hayles, I
stumbled onto a certain Indian legend that seems to further emphasize some of
her points, and I think its interesting to think of this little myth as a
provocative supplement to Hayles groundbreaking scholarship.
Here’s a link to the Wikipedia version of the
legend. This version is very brief but
sums the myth up well. Please click the
link and read the brief passage under the heading “Legend of the Ambalappuzha
Paal Paayasam”
<a href=http://en.wikipedia.org/wiki/Ambalappuzha>Wiki
(The above image is of a Chaturanga board. This is the game the ancient Indians would have been playing and represents what experts beleive to be the oldest existing of all chess-type games. The board is the same as a normal chess board but notice the different pieces. All of them are pretty much the same except the elephants that are right beside the knights on each side have replace the more modern game's bishop piece)
And so, the mystery of the equation is revealed, and
isn’t it ironic that the critical importance of this type of computational
skill would be written long before the equation in our epigraph was ever
originally conceptualized. Isn’t it
amazing that within the phase space of a simple 8 square x 8 square board, 64
total space, such variance and potential immensity can be observed by applying
that most confounding and awe-inspiring variable: human thought in the form of
an applicable quantitative theory.
The more interesting thing here, however, is at how
many levels this codification works.
This is just one code within many, so to speak. Consider, the doubling
equation used to dupe the king in the story as a device that the author embeds
for the sake of furthering an intent, which makes up the second code I’d like
to identify. The authorial intent here would be a codified system of symbolic
values constructed in the human mind to convey the themes of the text being
written. The third code, would be found
within the attachment of the myth to the nutritional material of the special
rice pudding. The fact that the sage
(Krishna) provides sustenance to the villagers (pudding) by utilizing vastly
complex computational skill (the 64 square doubling equation), which suggests
an epistemological argument of knowledge as power. In this case, skill at calculation equates to
the citizenry’s most valuable skill, at least when it comes to them gaining the
upperhand in situations where governmental authority is dominant.
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