All 2 entries tagged Disjunctive Synthesis

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May 28, 2006

Academic connectors and academic dissectors

In a conversation this week, Kay Sanderson of the Warwick Skills Programme used a continuum to describe two character tendencies amongst academics and students: some people, it is said, are dissectors whilst others are connectors. Kay has much experience with getting students and researchers to think reflectively about their work. She has also had a long standing involvement with learning technology development, which for many, is tinged with a degree of dissatisfaction. I wonder if this dissatisfaction is related to the dissector/connector division?

Kay's analysis of my own work quite rightly places me towards the connector end of the line, meaning that my intellectual habits tend towards seeking out related phenomena in distinct realms, looking for connections, and searching for a common underlying dynamic. Other people tend towards the dissector extreme, they are primarily concerned with analysing a single phenomena by dissecting it continually into more fine–grained constituent parts.

The more speculative claim is that our systems of higher education are increasingly biased towards dissectors, and that this is a very bad thing indeed.

I'll leave that conjecture open and unassessed, as there are two more immediate questions that interest me:

  1. Are the two modes of operation in fact just two aspects of the same intellectual process? – inseparable;
  2. Does the application of one without the other lead to empty meaningless results?
  3. Are our learning technologies capable of supporting each mode in the right way and at the right time?
Connective synthesis and disjunctive synthesis

The notional connector person and their counterpart dissector are characterised as such because they tend to make things following one particular pattern. The product of their creativity being conceptual structure, developed within and expressed by various forms (texts, diagrams, programmes, maps).

The creation of concepts, of whatever pattern, is an act of synthesis:

Synthesis is always the addition of a further component to existing components. What gets added? A connection is created between the components, a procedure or route of exchange between the components. The connection is itself a component, a real thing. In art, these connections are often deliberately exposed and developed in new ways. However, when such a connective synthesis is turned towards a problem of understanding, we try to use connectors that are as neutral as possible. This is the rationalist deception. In other cases we claim to be merely discovering the connections that are already subsistent in the world. The components being connected are then predisposed to the connection, which bears little of the mark of human understanding, but which either is brought out through the application of the correct procedure, or alternatively suppressed. Sometimes this empiricism works well, having discovered a subterranean connection between worlds. Other times it results in foolish fantasy and fetishism. A second such synthesis is that of dissection: a disjunctive synthesis. A single component or slice of reality is decomposed into separable constituent parts, according to some arbitrary or self-evident facts of antithesis between them. It is important to understand that disjunctive synthesis is not the opposite of connective synthesis. Rather, it is a special case. A connection is always posited. The connection being the fact of difference. Breaking the world down is of course an essential part of living within and coping with it. But we must also distinguish two forms of dissector. If the difference is thought to be already and always present in the component, then no time or process is required with which to render the connection. It is ontologically apriori. Creationists are of course great dissectors. But we don't have to be mad theologists in order to dissect; in fact Nietzsche the great anti-theist claimed dissection to be of paramount importance. The difference between Nietzsche's dissection (selection/destruction/forgetting) and creationism is that for Nietzsche dissection is necessary in order to create a future world, rather than to conserve a past one. Whereas creationists imagine that there is a single blueprinted world of spatially separable identities, with his disjunctive synthesis, Nietzsche presents an active creation or engineering of reality that combines both disjunctive and connective synthesis in order to produce new additions to "all the names of history", new characters and new concepts forged through a conjunctive synthesis.

With the two syntheses defined, the inseperability of connection and dissection (question 1 above) is clear. But why should there be character types that favour one of the modes almost exclusively over the other? Surely the best approach would be to recognize the importance of each synthesis in its own time and place, whilst retaining a critical stance? There are no doubt many reasons why people become inflexible in their thinking, becoming trapped within an obsessive dissection or a delirial search for connections. I would like to raise the possibility that our learning technologies may be part of the problem.

Current learning technologies are good at either linear instructional exposition, communicating a topic by dissecting it, or the un-constrained expansion of connections. What they fail to do effectively is combine both strategies, dissection and connection. Consider how, on any given topic, the web contains a few linear texts, each presenting a constrained perspective on the topic. Each text makes assumptions about basic elements, about how the world is dissected. These dissections serve the particular narrative or connectivity of the text. From the perspective of content packages delivered within a VLE (virtual learning environment), the connections are even more linear and the dissections even less open. Such environments are constructed according to a pedagogy of instruction and completeness, with very clear and quantifiable start and end points to every topic. This is not the whole story with regards to that single topic. The web is also populated with many thousands of pages that relate to aspects of the topic in more or less direct ways. These thousands of other possible connections may act to dissect further, or to expand our understanding of existing dissections. However, most current learning technologies do not support any kind of non-linear relationship between the analysis of a topic into a well structured narrative (of connections), and the exploration and revision of the dissections from which that narrative is formed.

To that conjecture, I added the clause 'most current learning technologies'. I do believe that there are a couple of technologies that do encourage this kind of non–linearity, namely wikis and concept maps. Both of these tools allow us to do the following:

  • Create a set of topics in relative isolation from each other (the MindManager concept mapping tool even includes a 'brainstorming' tool to assist with this).
  • Create a proposed structure drawing upon these topics.
  • Extend the structure with new topics, or old topics further dissected.
  • Create new connections between the topics.
  • Revise topics without drastically effecting the overall structure of connections.
  • Revise the structure without drastically effecting the individual topics.
  • Track revisions and authoring actions.

In these ways, wikis and concept maps actually work to promote a more effective combination of the three syntheses (connection, disjunction, conjunction), and open that process up to the critical view of both students and tutors.

In order to encourage more complete and effective thinking and learning processes, we must teach students to reflect upon and exploit the different aspects of their conceptual activity. Current learning technologies may work against this. However, there are at least two emerging technologies that are designed to effectively combine connective and dissective activity.


July 15, 2004

The Four Ontological Functions Diagram

Warning! This won't make any sense to you if you haven't read a substantial amount of work by the philosophers Gilles Deleuze and Felix Guattari. That's why it's in the 'philosophy' category. I've posted it because for a few months now i've been trying to understand the diagram in Guattari's Chaosmosis, which is clearly an attempt to summarize his work with Deleuze such that he can use it in his work in psychiatry, education, and cultural practices. I post it as public as I know there are many D&G experts out there who might want to comment and say "you've just got it entirely wrong".

  • The whole diagram represents the connective synthesis. Present within it at all points is both the body without organs and the plane of consistency, the composer and the composed of desiring-production. (1)
  • The actual column is the always present, active disjunctive synthesis of striated space. (2)
  • The virtual column is the always presupposed, passive conjunctive synthesis of smooth space. (3)
  • The possible row is formed by organisational strategies that make the repetition of an organisation more likely, projecting the past into the future, a composing force tending towards the body without organs, towards an absolute difference. (4)
  • The real row is formed by the absolute difference between past and future states, the composed fact tending towards the plane of consistency. The possible drives this absolute difference.

Every activity involves all four ontological functions. The critical project of Deleuze and Guattari is to demonstrate that separate activities, such as art and science, have mistakenly been placed in relations of subservience to each other. This has been done by associating an activity with a single ontological function, locating it in just one sector of the matrix, whilst another activity is placed in a complementary sector. Instead, we need to recognize that each activity itself involves all four ontological functions simultaneously. Both art and science, for example, are independently operational connective syntheses, and neither is ontologically dependent upon the other. Similarly, the ‘models’ described in A Thousand Plateaus (technological, musical, mathematical, maritime, aesthetic) are all different instantiations of the connective synthesis.

Notes:

  1. The Connective Synthesis of Production. (Anti-Oedipus p.68).
  2. The Disjunctive Synthesis of Recording. (Anti-Oedipus p.75).
  3. The Conjunctive Synthesis of Consumption and Consummation. (Anti-Oedipus p.84).
  4. For Deleuze and Guattari, signification is distributed across the disjunctive synthesis (the movement to expressive dissipation) and the conjunctive synthesis (the movement to enunciative concentration): the sign does not produce fantasies, it is a production of the real and a position of desire within reality. (Anti-Oedipus p.111). Lack does not figure in this as both the possible and the real already presuppose all three syntheses: the concentration, the dissipation and the connection. The restriction of an activity to one sector of the diagram introduces lack. The positioning of a complementary activity in another sector of the diagram offers a solution to that lack, hence the relationship of subservience between the activities (e.g. art and science).