Does anyone know how Godelian loops give rise to semantic content?

I beg your pardon?


A strange loop is a case of self-reference which affects (or even damages) the original item, possibly causing a paradox. The concept of a strange loop was proposed and extensively discussed by Douglas Hofstadter in Gödel, Escher, Bach.


For example, Abbie Hoffman once wrote a book called Steal This Book, which thereby tried to undermine its own sales in bookstores. The band System of a Down had done the same with the album Steal This Album!. The liar paradox and Russell's paradox also involve strange loops. In art, M.C. Escher's Drawing Hands is an example of a strange loop, as is René Magritte's The Treachery of Images.





Strange loops often involve violation of hierarchies, in which, for example, a computer program (rather than a person) writes computer programs. This, by itself, is not enough to be a strange loop (it is merely self reference, and is common practice for a compiler). An example of a strange loop in software is a quine, which is a program that produces a new version of itself without any input from the outside. Metamorphic code is similar.





Strange loops are frequently intriguing or even humorous. A sketch on Late Night with Conan O'Brien once had Conan (seemingly spontaneously) become upset with a cue-card holder and tell him to leave the set; immediately, the cue-card holder was shown, holding a card with Conan's "you'd better leave" line written on it.





The semantic content would be autopoiesis.


Autopoiesis literally means "auto (self)-creation" (from the Greek: auto - αυτό for self- and poiesis - ποίησις for creation or production) and expresses a fundamental complementarity between structure and function. The term was originally introduced by Chilean biologists Francisco Varela and Humberto Maturana in 1973:





"An autopoietic machine is a machine organized (defined as a unity) as a network of processes of production (transformation and destruction) of components which: (i) through their interactions and transformations continuously regenerate and realize the network of processes (relations) that produced them; and (ii) constitute it (the machine) as a concrete unity in space in which they (the components) exist by specifying the topological domain of its realization as such a network." (Maturana, Varela, 1973, p. 78)


"[…] the space defined by an autopoietic system is self-contained and cannot be described by using dimensions that define another space. When we refer to our interactions with a concrete autopoietic system, however, we project this system on the space of our manipulations and make a description of this projection." (Maturana, Varela, 1973, p. 89)


The canonical example of an autopoietic system, and one of the entities that motivated Varela and Maturana to define autopoiesis, is the biological cell. The eukaryotic cell, for example, is made of various biochemical components such as nucleic acids and proteins, and is organized into bounded structures such as the cell nucleus, various organelles, a cell membrane and cytoskeleton. These structures, based on an external flow of molecules and energy, produce the components which, in turn, continue to maintain the organized bounded structure that gives rise to these components. An autopoietic system is to be contrasted with an allopoietic system, such as a car factory, which uses raw materials (components) to generate a car (an organized structure) which is something other than itself (a factory).





More generally, the term autopoiesis refers to the dynamics of a non-equilibrium ( or non-equilibrium thermodynamic (NET) (Dyke, Charles, 1988, ch. 9)) system; that is, organized states (sometimes also called dissipative structures) that remain stable for long periods of time despite matter and energy continually flowing through them. A vivid example of such a non-equilibrium structure is the Great Red Spot on Jupiter, which is essentially a gigantic whirlpool of gases in Jupiter's upper atmosphere. This vortex has persisted for a much longer time (on the order of centuries) than the average amount of time any one gas molecule has spent within it.





From this very general point of view, the notion of autopoiesis is often associated with that of self-organization.





An application of the concept to sociology can be found in the Luhmann's system theory, while the autopoïetic approach of Limone and Bastias was popularized at the Commercial School of the Catholic University of Valparaiso, starting from the thesis of Aquiles Limone (published in 1977) and model CIBORGA (popularized of 1998) with the collaboration of Luis Bastias, Cardemártori and others.



myspace