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From the “infinite monkey theorem” to “CAD-monkey theorem” (Antonio Bernacchi)

Spam 27: E1L7N2

“El algoritmo desplaza al ritmo y se convierte en el entorno para crear, inventar, a través de la interacción, y generar así híbridos. (…) Software abierto que te permite crear plantillas para instrumentos virtuales. Entornos de edición que funcionan como mesas de disección de sonido. (…) Permiten al músico componer material proveniente de múltiples capas que contienen pistas o archivos. Como construir música mediante piezas de lego = SAMPLES.” (Jordan, Ken & Paul D. Miller, art. Freeze Frame, en Sound Unbound, Edited by Paul D. Miller, the MIT Press 2008) (C&P)

La máquina se relaciona con un flujo material continuo; Es el modo en que el hombre forma pieza con la máquina, o con cualquier otra cosa o dispositivo para formar máquina; Ésta es diferencia de intensidad y diagrama (funciones no formales opuestas al código, a lo molar); Las diferencias de intensidad es aquello por lo que la diversidad viene dada; Las máquinas operan siempre a través de dispositivos concretos; En el proceso de proyecto, la máquina puede darse a través de las tecnologías digitales, dentro del ordenador, el dispositivo concreto. Una vez construidos, los dispositivos se abren y se ponen en contacto entre sí con otros dispositivos (humanos), con lo molecular a través de devenires, formando máquina; El lenguaje maquínico es performativo, se basa en la acción frente a la significación. En arquitectura nos interesa ese mutualismo performativo, entre entorno y habitante; La máquina es autopoiética, dinámica, ligada a la diferencia, al desequilibrio y la finitud, abierta a lo exterior y a otras máquinas; Las máquinas conforman y especifican su propia organización, sus límites, actualizando sus coordenadas existenciales; La máquina responde a la filogénesis. (3m2a1e)

No se ha pretendido emitir juicios, sino proponer agenciamientos entre dispositivos aparentemente externos a la disciplina y otros más propios. Cada dispositivo porta muchos más. Están dispuestos sobre el papel (o la pantalla) listos para formar máquina con el lector, contigo. El ‘entre’ es el papel, que además de medir 210mm x 297mm y de portar texto tamaño 9, fuente frutiger, aloja múltiples dispositivos que forman rizoma. Si cortamos un trozo de este texto y lo insertamos en otro cualquiera, seguramente formará rizoma con una evolución impredecible. ¿Habrá máquina lector-conjunto de dispositivos texuales? (3m2a1e)

Map 27: from the “infinite monkey theorem” to “CAD-monkey theorem”

As she was hiding in the woods during 2nd world war, Rita Levi Montalcini, ’86 Nobel for Medicine, discovered some important things about optimization and evolution.

In fact, she noticed that bee’s brain is morphologically speaking perfect, and for this reason it didn’t evolve.

Otherwise human’s brain, due to its imperfect shape, continued developing till the present homo sapiens  form.

According to darwinism, random modifications produce some relevant variation in a x-number of stochastic reiterations; then natural selection process favors those changes that tend towards certain optimization.

Considering the “normal” range of variability inside species, these relevant modifications could be seen as “mistakes” in comparison with the “rule”. In this case we could speak about error finding, both towards optimization or desoptimization, in any case, what G.Deleuze called anomaly.

That’s exactly what is considered progress in non-linear development models.

S.Kwinter, in an article about a “general theory of models”, explains how according to catastrophe theories, as in thermodynamic systems, the possibility of escaping from the bounds of the system depends on the distance from the stationary equilibrium state of the system.

“Now it is a basic tenet of the laws of thermodynamics that in order for something to happen within a system, there must be first a general distribution of differences within the system.” 
Landscapes of Change

So probability of producing a relevant change basically depends on the excitation status of the system and on the number of reiterations or tentatives.

This leads back to Jorge Luis Borges and his fascination for Leucippus atomism (world as random combination of atoms) and Aristotle’s Metaphysics, that notes that the atoms themselves are homogeneous and their possible arrangements only differ in shape, position and ordering.

In Borges’ ’39 “total library”, later appearing in the well-known “library of Babel”, there can be found “all” the possible combination of characters, that means “all” possible books and theories, whether known or not, whether ever written or not.

This is directly connected with the infinite monkey theorem, which states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare. Directly quoted from our dear Wikipedia.

In this sense: the exquisite text of Shakespeare “popping out” from the stream of monkey typing is a kind of optimization or a kind of error??

Or maybe it’s obviously the same but it’s just (and that’s not small thing) a matter of relevance?? (….that someone, long ago, called natural selection…)

Let’s try to continue in this absurd logic to find some relevant considerations about non-linear evolution in creative processes.

The first step will be substitute infinite monkey with infinite calculator…

The next change the typewriter for a modeler…

But let’s try to build a model case with practical simplifications, such as taking a small poem instead of Shakespear’s complete work to manage it with one computer in reasonable times.

The selected poem, the smallest of italian literature, is “Mattino” (morning) by G. Ungaretti.

The whole poem is just one intense verse:

“M’illumino d’immenso”

(I shine myself of immensity)

Following the theorem’s statement the machine should try all possible combinations of alphabetical characters till, randomly, find Ungaretti’s poem after n-reitarations of the combining process.

In this case the total number of possible combinations would be :

20 (poem’s lenght) ^ 25 (alphabet+space+’) =

33 554 000 000 000 000 000 000 000 000 000 posibilities

maybe it’s a little too much for a simple example (today…)

So the program will fix each letter and step to the next one, that is much easier and…

(the working example can be found at http://www.antoniobernacchi.com/mpaa/6cinfinitemonkeys/ )

Anyway here you can find an example of the real theorem, but in an even simpler case, the web considered smallest poem ever, a phrase mis-pronounced by Mohamed Ali sentencing:


a little bit poor but….here we go:

Our simple example shows that it is still a little too difficult to try pure stochastic processes, but maybe it’s just a matter of time ……

or maybe it’s just completely absurd…..



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