Image of thought

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How we can understand the structure of all the knowledge? How a thinking can be understood? Its not a temporal and linear structure, even try to understand this is a dangerous challenge.

Trying to push us to start to think about that, Delouze materialize this comparing with Rhizomes, what he defines like “the image of thought”

The notion of rhizome was adopted the structure of some plants whose buds can branch out at any point. The structure of knowledge is not derived by logical means , a set of first principles , but draws up simultaneously from all points under the influence of different observations and conceptualizations, is multiple and non-hierarchical.

Delouze propose what can be divided into two types of systems : a centered and focused like the root systems and can be classified as centered , focusing on hierarchical branching structures , in which each individual recognizes only his superior neighbor. The condition is established in repeat centered system when the ramifications of its branches and roots also repeated on the leaves , are necessarily continuous systems . He point out that even when it is believed to reach a multiplicity , it may happen that this multiplicity is false. In contrast,  is a centered, and a focused, like a rhizome, a network of finite automata . The condition of this type of system is the complexity in which there is not a decal , a copy of a central order, but multiple connections that are established at all times , a constant flow of deterritorialization and reterritorialization .

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Deleuze and Guattari – A Thousand Plateaus- The Concept of the Rhizome

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In the introductory chapter of A Thousand Plateaus the authors introduce a fundamental theory that may become an answer to the numerous questions modern science is facing on its increasingly difficult road to the advancement of our progress. It is what Deleuze calls an “image of thought”, based on the botanical rhizome, that apprehends multiplicities.

The concept of a rhizome is not easy to understand on its own, but its theoretical applications become much more evident when contrasted with a more linear concept of a “tree”. A tree develops in a sequential manner, has a point of origin and its vectors collide in multiple locations to form a junction that further gives birth to a new set of vectors. The idea of a split and duality is pertinent to the concept of a tree. On the other hand, the rhizome is a much more complex unity, that has no evident origin or end. The vectors of its development are multidirectional and show no sign of termination, but rather interweave in plateaus, another fundamental component of the rhizome theory. The rhizome is like a network of roots. If one segment of it was removed, the remaining part of the body would continue on growing in an unpredictable manner, always forming plateaus that relate within each other and to the other plateaus. Hence the plateaus of a rhizome are always in the middle of the network while being preceded and followed by other plateaus. In such tightly interweaved system no element works alone. The rhizome is an anti-genealogy that does not necessarily originate from a point but rather comes from something bigger.

According to Deleuze and Guattari, when one is trying to describe a concept, be it a fundamental theory or a simple logic, he is trying to map the idea, in the mean time blocking the rhizome.  Mapping of the world and its components is a concept of duality; it is a process of tracing an original idea to recreate its mere copy. Simultaneously, building up a long-term logic one is using the “tree” approach, which the authors relate to the long-term memory rather than an infinitely short moment of “now”, which is directly correlated with an actualization of the short-term memory.

In this chapter Deleuze draws numerous examples of how the rhizome theory is not only a concept found in biology, but rather a complex system traces of which can be found anywhere from world politics, human DNA structure to quantum physics.

Astonishingly, Deleuze and Guattari managed to pinpoint the current traits of our societal development almost 40 years ago. Their vision of the rhizome predicts and explains the boom of the social networks. The fundamental mathematic function (n-1) when looked into with the bearing of a rhizomatic approach in mind, is a dimensionless unity that has no beginning and no end, yet is comprised of infinitesimally small particles of which 1 is a part of, if subtracted from the multiplicity. Intertwined with the number of directionless plateaus it forms a whole that is not a one or two, but rather a collection of multiplicities.

Deleuze and Guattari’s work has a potential to describe the String Theory of Quantum Physics. An endless dimensionless string, that forms plateaus and junctions of multidirectional vector developments, a future theory of everything.

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“On growth and form”

D’Arcy Thompson Wenthworth was a biologist who is considered the greatest scholar of the twentieth century, writing the most extensive scientific work written in prose of his time. His greatest contribution was the book “On Growth and Form”, being a sigular and creative book, expressing a critique biologists of his time which were considered overestimating the role of evolution and therefore undervaluing  mathematics as a means of study of physics and mechanics in determining the shape and structure of living things, just as proposing an answer to all the “divine elements”, saying that “the numerical precision is the very soul of science”

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Rolex Learning Center and the genesis of form.

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Speaking about the genesis of form of the, it was generated according to the boundaries and opportunities of the external physical forces. Mathematics gives the shape of the form. And to study the form you can put it in a grid, the form itself lies in it. We can say that the patios (the holes in the structure) are the spaces of energetic possibilities according to their function (the natural ventilation and illumination of the building) + the visual line between inside and outside.

In the parallel of the “Rhizome thinking” it has the different way of the appearing of the structure of the building itself. The roof and the inner spaces follow the landscape of the floor (the base). All the building is defined by the relations of its elements. Every curvature relies to its neighbor.

In the whole structure of the building we can find the principles of cartography, mapping and tracing, all the organisation is simplified to the several principals. These principals were created in a way of predefined forms which acquire physical reality as material forms that resemble them.

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Unlock the Geometry

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D’Arcy Wenthworth Thompson, On Growth And Form, 1917

Unlike the majority of biologists and naturalists of his time, that were only enthusiastic about the attributes of precedents of that particular form,  D’Arcy Thompson was working on the numerical explanations trying to define the forms of living things and physical phenomena in the light of mathematics.

On Growth and Form, notable mathematician and biologist demonstrates that the growth and form of any species of animal or plant can be interpreted through relatively simple mathematical equations. He suggests that biological growth and form has to  follow physical laws, and that one can see the materialization of these universal laws by analyzing common features in the form of different organisms. His “theory of transformation”  argues that a species evolves into another one not through a series of minor alterations in diverse body parts but through a large-scale transformation of the entire form.

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