Monday, March 01, 2010

New day. New try.

It's funny how the world works. I had started this poem a few months earlier as an experiment, trying to create a poetic analogue to a mathematical proof (Furstenberg's "Infinitude of Primes"). But although the resulting poem was somewhat interesting, the experiment was a failure on the conceptual level. So, after a while I decided to give up on the analogue idea and just edit the poem to get the best poem possible. And what do you know, just as soon as I stop trying the analogue concept and just do what's best for the poem, Bam! I stumble into a way to make the concept work.

(for Big Kenny and Little Kenny)

Let us define a topology
on the emotion L
by imagining a sub-love L1,
to be an open love
if and only if
it either contains
open kisses
or it contains
a union of emotional sequences
L(f, s),
where L(f, s)=hearts open as wounds.
In other words,
a sub-love L1,
can be open if and only if
every hesitant male heart
that is a member of L1
admits some non-hero condition F or S.
The axioms for a topology
are easily verified:
by definition,
an open mouth kiss is open;
L is just the sequence L(U, I),
and (if true) is open as well.
For any collection of open mouths
the intersection of two
(and hence finitely many)
open mouths is an open kiss:
Let the lips U and I
form open mouths,
then, let the mouths meet.
The topology is quite different
from the usual Euclidean one,
and has two notable properties:
Since any open mouth
contains infinite kisses,
no finite mouth can be open;
put another way,
the complement of an open kiss
cannot be a closed mouth.
The basis mouths {father, son}
are closed by nature,
but we can imagine L(f, s)
as the complement
of an open mouth as follows:
"There are many kinds of open
how a diamond comes into a knot of flame
how sound comes into a word . . .
. . . Love is a word, another kind of open."

Among the sounds
that are emotional multiples
of open kisses
is rain falling on a field,
i.e. [a topology of tears]
By the first property,
the mouth (raining sky)
cannot be closed.
On the other hand,
by the second property,
the mouth (fallow field) is closed.
So, if there were only
finitely many drops of rain
then the mouths (field, sky)
would be in a finite union
of closed mouths,
and hence closed.
This would
be a contradiction,
thus L(f, s) must contain
infinitely many
drops of rain
in an open field.
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