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Geometric Combinatorics

Generally the web knows just two answers to complexity. On the one side simplification and on the other side information filtering. Both strategies are valid and useful but are they really appropriate to the emergent phenomena and challenges of today's global internet?Without a doubt, doubt is indicated for one specific reason: avoidance strategies often lead to defensive behaviour.  The "price" of efficiency of active avoidance within systems is always determined by the necessity of more activity  during learning of new habits. As a result every system has to put more and more efforts ( energy, information, ressources) into the development of innovation which makes innovation more and more unlikely.

Basically and essentially on the web simplification and information filtering are security technologies which should protect us of  "destructive" information. The same moment they are a signs of the inability to cope with complexity or at least they show us the lack of advanced tools to turn complexity into the driving force of innovation and creativity.

Where's the way out of this lose-lose situation?  First we need more information, then we filter more information, then we lose more and more our capability to work with information.  Do we have to build an algorithmic immune system to the digital world or do we have simply to avoid digital media at all? Neither, nor!

Not long ago we were used to call the web cyberspace. We expected it to be one huge data highway. So, in the beginning the web was not considered to become an abstract "literal space",  instead everybody expected it to become a 3D counterdraft to the world itself.  Today, whereever you look  the web is particularly about text, be it HTML, E-Mail, Instant Messaging, XML, RPC, RSS etc. The web is indeed so deeply based on text that it makes us wonder how  anybody ever could believe in the pure multimedia vision of the internet. All the important aspects of the web, content, protocols and algorithms are finally text based. At least this is the common collective impression. The web as a literal medium.

At this very moment and at a much deeper level of understanding of the medium internet we have to realize that these assumptions are simply false. What really happens is a continuous and ongoing process of transcoding semantics into a geometrical space; a constant change of semantic entities into mathematical ones. How many people know that most of the sophisticated search-, similarity- and profiling tools they use everyday are based on term frequencies that are mapped into vectorial space, where relationships are represented by trigonometric functions, especially the cosine. Paradoxically the more the representatives of the semantic web talk about topologies and ontologies, what they are really reflecting on are the topographical aspects of binary data.

I'm convinced that another ongoing paradigm shift is going to make this visible. It's the increasing importance of graph structures which are going to be the central nervous system of the upcoming intelligent semantic web.

The intelligent reasoning proactively done by machines then becomes  some kind of  geometric combinatorics, where computer and algorithms travel along the simulated edges and nodes of polytopical structures to find and create meaning.

3 comments on this yet, add yours.
Saturday on the way home i heard a brilliant sentence: "Our employees have to become authors, so that we can glue together the information".

So i think that in order to the steps you described (inferencing etc.) well, the missing link within companies are indeed wikilogs and semistructured microformats (and most important the perspective on their usage), because the traditional unstructured content Information Retrieval uses as basis seems to be insufficient.

Webfountain weblog crawler, Google (Blogger, Base), all this points in this direction. Notice that the quote above is from a mid-forties woman in a non-technical HR management position of an austrian corporation.
Note that the search space for organizational decision is no longer a technology to bring forth reliable products but a communication dynamics to bring forth imaginations of what consumers may want. That communication frames the technology which comes second. This gives geometric combinatorics its scope. Employees become authors, yet this demands that they learn to read and to argue as well. Rhetorics and hermeneutics become basic skills, which means that we will have to reverse almost two thousand years of history in the West that tried to undo their invention due to alleged sophistry. Ontologies, however, are couched in sophistry. Platon, of course, knew that, witness his dialogue "Sophistes": sophistry is inventive imitation (mimesis). It is only when imitation turns into conceit that traditional suspicion towards sophistry is justified.
But it will be special kind of rhetorics that is needed, suited for semi-structured microformats (like the typical blog post). It will be "rhetorics" in a special sense, because it will have to rely on the new pseudo- orality of the Web -- and new digital media in general.

My experience: That's a very sophisticated ability, and the average Austrian worker, as well as the average student, cannot do this. There have to be rhetorical patterns that can be imitated: specific tones and voices. Maybe we should collect and review good examples of German microtext-rhetorics ...

Pseudo-orality: Because it is written, but in an "oral" style. US-bloggers are brilliant at this. I'm not, being a member of the suhrkamp-generation of the early 80Ts, and neither is the System One Journal.

(In fact it is somehow more complicated: New media produce a new language that is neither literal nor oral. Complementary emerging are the new microweb' pseudo-oral literacy and the audiovisual media's quasi-iteral orality.)


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