Showing posts with label evolution. Show all posts
Showing posts with label evolution. Show all posts

25 Aug 2015

Somers-Hall, (5.5), Deleuze’s Difference and Repetition, ‘5.5 Individuation (244–56/305–19)’, summary


by Corry Shores
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[The following is summary. All boldface, underlining, and bracketed commentary are my own. Proofreading is incomplete, so please forgive my typos and other distracting mistakes. Somers-Hall is abbreviated SH and Difference and Repetition as DR.]



Summary of


Henry Somers-Hall


Deleuze’s Difference and Repetition:
An Edinburgh Philosophical Guide


Part 1
A Guide to the Text


Chapter 5. The Asymmetrical Synthesis of the Sensiblence

 

5.5 Individuation (244–56/305–19)

 



 

Brief summary: 

For Deleuze, we have a realm of extensity. It is our familiar world we experience, and it has spatial features and other determinate qualities. One view would say that the states of affairs in this realm of extensity are determined by other extensive factors in prior moments, in a mechanistic sort of model. Deleuze, however, thinks that something more is at work. For him, there is another layer  of reality couched within the extensive world. There are not just extensive relations, like one thing being beside another. There are also intensive ones, like the “potential differences” that physics studies. We might for example have an electrical charge in the clouds and another in the ground. We could talk about extensive relations and say that the sky sits above the ground, but this will not explain to us much about why and how the coming lightning bolt will shoot between them. The charges or “potentials” in each region are such only in their differential relation to one another. That difference itself, which is relationally “between” them but not spatially interposed between them, is an intensive difference. Many varieties of intensities are couched in the extensive world, and they help shape it. The intensive difference between the charges shapes the extensive world by sending a powerful and destructive lightning bolt through the intervening region between the clouds and the ground. This transformation of the extensive world by means of intensive difference is called “explication:” certain actualizable outcomes are implicit in the intensive situation, and they become explicit through explication, meaning that they manifest overtly in the extensive world. The way that intensive relations explicate has to do with their interactions with “Ideas.” An Idea is a network of pure differential relations that might find one actualization or another when they are explicated. Perhaps all vertebrate organisms now and going way back in evolution have skeletons that are isomorphic. One explanation is that there is a transcendental template that is merely a fixed set of relations which may manifest in a wide variety of ways in different organisms. So the template of relations is an Idea. Any of many various organisms expressing it is an explication. Now also, the physical intensive conditions surrounding the organism’s embryonic development are the “field of intensities,” which is a notion that is important when understanding how creatures develop uniquely from nearly identical embryos. In fact, the embryos are never identical, even if the DNA is. For, there are contingent features in the actual situation, like the chemical composition of the embryo’s cytoplasm. They cause one embryo to follow one path of division and another embryo to follow a different developmental course. What happens is the fixed DNA code colludes with the variable intensive relations of the actual situation, and thus the development is dramatized rather than mechanistically predictable.




Summary



SH says we may now pose two interrelated questions: 1) How does intensity explicate into extensity, when the two differ in kind? 2) What is the relationship between intensity and Ideas? (180)


2) What is the relationship between intensity and Ideas?
We begin with the second question, since it will help us answer the first one. Recall Geoffroy’s evolutionary anatomy from section 4.5 [there is a transcendental “template” of sorts for the relations that the parts of specific species may take. (Note, “template” is my term, not SH’s. It do not mean it too literally. Again see section 4.5 for the concept).  Thus a fish fin is analogous to a human leg, since each bears the same relative position with respect to the rest of its own body parts. The point here seems to be that the transcendental template is an intensive field of differential relations. It is not an extensive map or plan saying one part must reside in a particular spatial position and take on specific spatial dimensions and have specific qualities. The fin has very different properties from the human leg. Here we see how intensive differential relations explicate into particular extensive features. One danger is seeing DNA as that intensive template. The DNA implies one specific development of a certain individual, and so it is perhaps not deeply intensive like Geoffrey’s template, which implicates an infinite variety of actualizable developments.]

When we looked at the structure of the Idea in the previous chapter, we saw that one of the examples Deleuze gave was of Geoffroy’s unity of composition (4.5). Geoffroy’s intention in developing this structure was to provide a way of comparing different animals in terms of the way in which they actualised a universal set of relations between bones. Thus, the form of actual creatures differs depending on how the non-metric relationships between parts were given determinate magnitudes in extensive space. The anatomical structures of a giraffe and a bison can both be mapped onto the same unity of composition if we only consider the relationships between bones, and put to one side the sizes of the bones themselves as expressed in extensity. The Idea therefore is in some sense determinative of the structure of the organism. At this point, we encounter a potential danger in our account of the development of the form of the organism. If we see the unity of composition as determinative of the form of the organism, we risk merely reiterating the structure of the organism at a transcendental level. By doing so, we remove the essential characteristic of the Idea that it is different in kind from the structure it generates. Deleuze cites DNA as the modern formulation of the Idea of the organ- | ism, in that it presents a field of elements that are different in kind from the characteristics we find in the organism to which it relates. Despite the fact that DNA differs in structure from the structure of the organism, there is still a temptation to understand it in terms of those structures. Thus, as the biologist Susan Oyama writes, ‘though we all know that there are no hooves or noses in the genes, the accepted formulation is that the genes that are literally passed on make hooves and noses in ontogenesis’ (Oyama 2000: 43). Seeing a direct relationship between the Idea and the extensive form that it determines in fact rests on the same model of synthesis we saw in Kant’s philosophy. The Idea here would be akin to the active subject that manipulates passive extensive matter into form, and the differenciation of the Idea would be the simple expression of its structure. To turn to Oyama once again, we can see that this model of active synthesis is indeed widespread in genetic theory [the following up to citation is Oyama quotation]:

The discovery of DNA and its confirmation of a gene theory that had long been in search of its material agent offered an enormously attractive apparent solution to the puzzle of the origin and perpetuation of living form. A material object housed in every part of the organism, the gene seemed to bridge the gap between inert matter and design; in fact, genetic information, by virtue of the meanings of in-formation as ‘shaping’ and as ‘animating,’ promised to supply just the cognitive and causal functions needed to make a heap of chemicals into a being. (Oyama 2000: 14)
(SH 180-181)

 

[The next concept to deal with is individuation, but I am not entirely sure I grasp what it is. In the last section, SH perhaps defined individuation as “the emergence of the subject from an a-subjective field of intensity”  (The full sentence was: “we will also have to deal with the problem of individuation, or the emergence of the subject from an a-subjective field of intensity”) (179). In the case of development from DNA, the subject I think would be the creature that develops, and the a-subjective field of intensity would be the transcendental template. Or (as we see later) maybe otherwise it is found in the actual physical conditions of the embryo’s development. So in the Geoffroy example, I am confused what is the Idea and what is the field of intensity. Judging from the material that follows, it might be like the following. The Idea is the template. But the field of intensity is found in the physical properties of a particular explication of that Idea. So under certain conditions in the intensive differences of the situation, it will explicate one way and under other conditions it will explicate another way. Let me quote.]

Deleuze himself notes that seeing Ideas as solely responsible for the constitution of the world is a potential misstep in the philosophy of difference that we are prone to [the following up to citation is Deleuze quotation]:

In fact any confusion between the two processes, any reduction of individuation to a limit or complication of differenciation, compromises the whole of the philosophy of difference. This would be to commit an error, this time in the actual, analogous to that made in confusing the virtual with the possible. Individuation does not presuppose any differenciation; it gives rise to it. (DR 248/308–9)

Instead of the structure of the organism being governed by the operation of Ideas on passive extensity, Deleuze instead argues that it is governed by the interplay between the Idea and the field of intensity: ‘Individuation is the act by which intensity determines differential relations to become actualised, along the lines of differenciation and within the qualities and extensities it creates’ (DR 246/308).
(SH 181)

[The important point seems to be that the Idea does not act on the extensive world like a cookie cutter and directly shape it. At this point I am still missing what the interplay is between the Idea and the field of intensity, which determines the organism’s structure. Perhaps it has something to do with the idea of the dice throw, but I am not sure. The material to follow might clarify this.]


1) How does intensity explicate into extensity, when the two differ in kind?
We now examine the process of intensity’s explication into extensity (181-182). The process has a fourfold structure:  differentiation-individuation-dramatization-differenciation. 1) Differentiation: one part of the structure are the calculus differentials of the Idea, which do not resemble anything in sensibility. [Since this moment has singularities (the differentials) that have not yet been actualized or explicated,] it is structured by “pre-individual singularities”. 2) Individuation: [For this part of the structure, we need to understand intensity as a difference between two potentials. In the thermodynamics example, there was a difference of potential between the heat regions. The greater that difference, the more work the system could perform. I am not familiar with this physics terminology where we would refer to two things as potentials. It might be like saying in the case of engines, there are two regions of different temperatures, and there is a potential difference between them, meaning that the difference can potentially cause a change in the states of the system. Or perhaps in the case of lightning, we could say that the electrical charges in the cloud and on the ground are of different values. And, this could potentially cause a discharge of electrical energy, if the potential difference between the regions crosses a certain threshold.] “The second moment is the moment of intensity. As we saw, intensity is understood as a difference between two potentials. It is this difference between potentials which allows work to be done in the thermodynamic model of intensive quantities” (182). [We then turn to the example of cellular anatomy. I do not follow this example so well, so let me quote it first:]  “To return to the example of the cell, we not only have the nucleus, which contains the genetic material, but also the cytoplasm, which appears to be a homogeneous field. Nonetheless, we find that the cytoplasm contains chemical gradients that determine differences between points within the egg” (182). [This might be referring to the discussion  in section 4.12. One thing I note here is that we have two terms, the cell and the egg, and I think they refer to the same thing, the embryo, but perhaps I am mistaken. Another thing that I am not sure about is the developmental process that is being referred to. Perhaps the idea is the following (but I am making a guess here). This cellular egg will divide further and further, each time perhaps differentiating into more distinct cells. (Perhaps with each differential repetition there is another “individuation,” but I am not sure). And perhaps also those divisions do not operate merely in accordance with the DNA’s instructions. Rather, each egg will divide partly on the basis of the chemical composition of the seemingly homogenous basic fluid that fills it. Thus it is not really homogeneous, since within it is a field of intensive differences which lead to different patterns of self-division. This field of intensive differences, then, is the field of individuation. I am not sure how this works. If I were to guess, perhaps there are something acting like fault-lines in the fluid or other structural sorts of irregularities that make the divisions open to contingent factors.]

To return to the example of the cell, we not only have the nucleus, which contains the genetic material, but also the cytoplasm, which appears to be a homogeneous field. Nonetheless, we find that the cytoplasm contains chemical gradients that determine differences between points within the egg. These differences set up potentials similar to the differences in temperature which allow the thermodynamic engine to function. This field of potentials is what Deleuze calls the ‘field of individuation’: ‘An intensity forming a wave of variation throughout the protoplasm distributes its difference along the axes and from one pole to another’ (DR 250/312).
(SH 181)

3) Dramatization: [The idea here is a bit hard for me to follow at a certain stage. The first point seems to be that one Idea can be actualized as one specific explication or as another. For example, the Idea of color can be actualized as red or as blue, etc. Whichever actualization it does take will of course exclude the other actualizations that could have found explication, even though they were there virtually in the Idea. Also, Geoffrey’s “unity of composition” (what I call the template) is an Idea that can actualize as this or that animal.]

The interaction of these two moments Deleuze calls ‘dramatisation’. If we return to the archetypal model of the Idea, colour, we can see that the Idea can be actualised in a variety of forms, each of which excludes the actualisation of other forms. If we actualise the Idea of colour, it will have to take the form of a particular colour. Similarly, if we actualise the Idea of the unity of composition, we will get a particular animal.
(182)

[I get lost, however, in the next sentences:]

It is the field of intensities which determines which form is actualised by determining the speed of development of various parts of the organism according to the distribution of intensities within the egg. Thus, the field of intensity determines how the relations between elements are determined in extensity.
(182)

[Let us stick first with the organism example. There is a field of intensities, which we said could be for example the differential relations in the cytoplasm. Somehow the field of intensities will change the speeds of development of various parts of the organism. I am not sure how that works. I can see how the in the case of the cytoplasm the heterogeneity of the composition creates potential fault lines of division, but I do not understand how they would modulate the speeds of division. There must be other factors, or I may have misunderstood what the field of intensity is (which is not unlikely). But how it is that the differences in developmental speeds between parts can determine the organism’s form is maybe something we can guess at. Perhaps for example, a giraffe egg at some point undergoes an acceleration in the division of the neck cells. And likewise, if we were to compare the development of different giraffes, some will have slightly faster speeds of division in the neck and thus result as a taller giraffe. (Although, later we learn that only secondarily would we say that they are both giraffes). Also, I do not know how this idea of the speeds of development would work with the example of the Idea of color. Perhaps it does not apply, and something else is at work in the explication of color. SH continues,] “As Deleuze noted in Chapter 4, this process of dramatisation relies on movements by the embryo that are topological – that is, understood in non-metric rather than metric terms” (182). [I do not remember if in the SH text here dramatisation was put in these terms, or if it is just that way in DR, but perhaps in SH’s text we might refer back to pages 164-165. Regarding topology, I suppose that the transcendental template (Geoffrey’s “unity of composition”) is understood topologically, since there are various deformations that preserve the relations of points of intersection of the parts. But I do not know. It reminds me of animations I have come across for “topological isomorphism”. This one is from wiki.

Mug_and_Torus_morph[3]

I am not sure if this illustrates a relevant concept, but I could imagine all the different vertebrate animal species being deformations from one another, while all maintaining the same relative connections of the parts. So using the animation as an analogy, just as the mug and the donut are topologically isomorphic without maintain metrical relations between the parts, so too is the dolphin and the human topologically isomorphic, and that is because both of our skeletons are explications of the same set of differential relations. Regarding the notion of dramatization, I am not sure if I understood it correctly to begin with. The idea might be that the developmental speed variations are not predictable, and they are complicated by the different “actors” or parts serving as variables in the development. The next example SH found is excellent and fascinating. It seems that frog DNA has, in a sense, “learned”  basic dynamic properties of fluids. Not all the information for how the organism develops is contained in the DNA. Rather, it seems that the DNA exploits the physical properties of fluids and lets those dynamics help shape the forms. So here there is an interplay between the DNA and the contingencies of the physical world. It also seems that SH’s point is that for this reason, DNA can in fact act like an Idea, on account of the dramatization of its explication into the physical world of specific extensive properties and qualities.]

As Deleuze noted in Chapter 4, this process of dramatisation relies on movements by the embryo that are topological – that is, understood in non-metric rather than metric terms. While these movements are possible within the intensive field of constitution, they are not possible within the constituted field of extensity: ‘Embryology already displays the truth that there are systematic vital movements, torsions and drifts, that only the embryo can sustain: an adult would be torn apart by them’ (DR 118/145). While it might be claimed that DNA differs from the unity of composition, in that it specifies one particular form or species, in fact, we | can note that here too, the milieu in which the genetic material expresses itself is fundamental to the form generated [the following up to citation quotes Stewart and Cohen]: Development seems to involve dynamics as well as chemical computation. When the developing frog embryo turns itself inside out during gastrulation, it looks just like a viscous fluid, flowing in an entirely natural manner. Some of the information required to make this process work may be specified by the laws of fluids, not by DNA. Brian Goodwin sees development as a combination of natural free-flow dynamics and DNA-programmed intervention to stabilize a particular dynamic form. Why should nature waste effort programming the shape of the organism into DNA if the laws of physics will produce it free of charge? It’s like programming into DNA the fact that salt crystals must be cubical. For example, the eye – a shape that puzzled both Darwin and his detractors – is dynamically very natural. Rudimentary eyes can occur naturally without any special DNA coding. Natural selection can then refine the rudimentary eye into something more sophisticated, but it is the dynamics that gives selection a head start. (Stewart and Cohen 2000: 294)
(SH 182-183)

[Recall the discussions on differenciation in section 4.8, section 4.11, and section 4.12. I might be mistaken, but differenciation seems to be the process (or result of a process) of explication whereby what is actualized has determinate features.] 
4) Differentiation: “The process of dramatisation gives us the final moment: differenciation. The result of the process of dramatisation is the extensive form. We should note, however, that the intensive does not become extensive, but rather gives rise to it. To that extent, dramatisation is concomitant with differenciation” (183). [The last point seems crucial, but I may not have gotten it well. Explication does not exhaust the intensive it seems. Or maybe we should say, what is explicated is something parallel to its intensive origins which remain intensive even while being explicated in extensity. Perhaps then the idea is that the “unity of composition” (the template of actualizable relations) is for the most part left unaltered regardless of its actual explications, which are infinite in their variety.]


SH then notes the two senses of Deleuze’s claim that the world is an egg. 1) “The first is that the milieu of individuation is not circumscribed by the boundary of the egg. In fact, we can note that the spatium (the complete field of intensity) is not made up of discrete elements. As such, the field as a whole is responsible for the differenciation of each entity, although most moments of intensity will have a negligible effect in each case” (SH 183). [I did not grasp what the idea was there. Maybe the basic idea is that the way a particular egg develops depends not just on what is contained within it but also on external factors, like with the frog egg example, and so the whole world is somehow involved in the development of any one egg. Probably it means something else, but I am missing it.] 2)  The second sense is that all phenomena can be understood on the model of the egg. [Perhaps the basic idea is that Deleuze thinks all phenomena result from this fourfold structure of explication, and thus all the world is an egg in that sense. SH then discusses the example of lightning, and I think here he is potentially bringing a lot of clarity to these ideas. But I am not sure I follow it well enough yet. 1) Individuation: A potential difference comes about in the electrical charges. There are now a multiplicity of ways the situation can develop. 2) Differentiation: this is supposed to have something to do with calculus differentials. In this example, perhaps the idea is that nature “calculates” the solutions to the problem of the differentially related charges. 3) Dramatization: the lightning takes the path of least resistance, but this is based perhaps on contingent and unpredictable factors.  4) Differenciation: the lightning takes one (branching) path and not another, and the lightning takes on all its physical properties.]

The second sense is that all phenomena can be understood on the model of the egg. If we return to the opening of Chapter 1, for instance, we find the example of lightning: ‘Lightning . . . distinguishes itself from the black sky but must also trail it behind, as though it were distinguishing itself from that which does not distinguish itself from it. It is as if the ground rose to the surface, without ceasing to be ground’ (DR 28/36). Here, a difference in electrical potential between the cloud and the ground (individuation) leads to a process of equalisation of charge (differentiation) along a path of least resistance (dramatisation), leading to the visible phenomenon (differenciation). Intensity expresses itself as extensity without itself | ceasing to be intensity. There are of course differences in the process of differenciation of biological, physical and social Ideas, but in each case, it is by being brought into relation with a field of intensity that the Idea becomes actualised.
(183-184)


SH says we now can interpret Deleuze’s claim that “‘‘it is not the individual which is an illusion in relation to the genius of the species, but the species which is an illusion – inevitable and well founded, it is true – in relation to the play of the individual and individuation’ (DR 250/311)” (SH 184). [The material here is a bit complicated. I am not sure, but perhaps the ideas are the following. We might think that individuation is like taking a “cookie cutter”, as DNA might be thought of being, and stamping it onto the world to give it living forms. However, we have seen that it is not so simple, as the frog egg example illustrated. In that case, there was a dynamic and cooperative interaction between the DNA’s patterns for development and the physical world of contingent factors that play vital roles in how the organism develops. Now, this means that each development is individual in the sense that it is a variation that was not pre-planned specifically. However, we might be tempted to say that for example all frogs are of a particular species, despite the particular variations of each individual. Were we to make this mistake, we would also think that perhaps the features of the species are set in advance, perhaps encoded in the DNA, and result like cutting a cookie. But this is an error in Deleuze’s view, since we are dealing with those properties after they have been explicated. We are not dealing with the dynamic factors of their origination, which do not follow a rigid plan. Instead, 1) we are looking at the differentiated properties that we predicate to an individual as a subject, and thus we are dealing with representations, and 2) on the basis of those representations, we say that a number of similar individuals are instances of the same species. I will quote, because I think I do not have it exactly right:]

As we saw in Chapter 1, species are defined by the addition of differences to an indeterminate subject. By progressively specifying the properties of an individual, we gradually limit the logical possibilities of what something can be, determining the nature of man, for instance, by addition of the properties material, animate, sensitive and rational, to substance. Given that different individuals clearly do belong to different species, we might be tempted to claim that this hierarchy of terms is what determines the nature of the individual. Thus, we saw that even though DNA differs in kind in structural terms from the organism to which it relates, there was a strong temptation to see it as straightforwardly encoding the kinds of properties Porphyry’s tree relied upon: ‘there is a tendency to believe that individuation is a continuation of the determination of species, albeit of a different kind and proceeding by different means’ (DR 247/308). Once we recognise that individuation does not simply operate on homogeneous, or at best, recalcitrant, matter, but relies on the particular potentialities within the egg, then we can no longer see it as a process of active synthesis relying on the attribution of universal qualities to a particular subject. Rather, differences are always individual, to the extent that they are determined by the reciprocal interplay of Ideas and intensity. They only give rise to these generalised properties once we draw together these individual differences according to their resemblances within the structure of representation.
(184)

[The next idea seems to be the following. We seem to have ruled out that a species pre-exists in the DNA. Rather, the individual organism comes about through the dramatized interaction of the DNA with its intensive field of differential relations in its particular physical context of development. And only secondarily by means of representations do we recognize a species, which is really an illusion, since it was never involved in the generation of the individual. But maybe we can say in the frog example for instance, that there is still a species which is the calculable combination of  the DNA’s instructions and the laws of physics, chemistry, and other factors that determine the intensive relations within and around the embryo. So in other words, perhaps we might say that we have this particular species of frog because it is built into the system of development which makes use both of genetic instructions and the intensive field of differential relations within and surrounding the physical egg. However, we are not supposed to think this way. Instead, we should think that no intensive field is identical, and thus there is no species built into any of them. I am not sure, but maybe the idea would also be like the following. Consider two genetically identical cloned animals. We will still find differences in their physiology, small ones perhaps, which resulted from them having different intensive fields in their development. So perhaps one egg had a different distribution of chemicals in its cytoplasm, which caused its divisions to take a slightly different route than its twin. Then, maybe a scientist would say that were we to control all the intensive variables which factor into the development, that we would get a matured twin who is absolutely identical even on the cellular level. Deleuze’s claim might be that this is impossible, since no intensive field is identical to another.  Perhaps the reasoning is found in the final sentences of the paragraph. I am not sure I get this, but let me make a guess using this clone example, and afterward I will quote. The intensive spatium of course does not map extensively over the extensive world. However, perhaps each point in the extensive world somehow corresponds to a place or relation in the spatium. This might be analogous to how each part of an vertebrate animal’s skeleton corresponds to the transcendental template, which does not have extensive spatial features like the resulting organisms do. But, this also means for example that even if we have eggs with identical DNA, we could not also make their intensive fields identical, since those fields correspond to different parts of the spatium.]

Now, one final point to consider is that if the individuality of the intensive field is responsible for differences being individual, then it cannot be the case that the same intensive field exists in different eggs. If that were the case, then we could talk about there being a real existence to species, although this would derive from the intensive field, rather than the Idea. It therefore has to be the case that each egg possesses a different set of intensive potentials [the following up to citation is Deleuze quotation]:

The form of the field must be necessarily and in itself filled with individual differences. This plenitude must be immediate, thoroughly precocious and not | delayed in the egg, to such a degree that the principle of indiscernibles would indeed have the formula given it by Lucretius: no two eggs or grains of wheat are identical. These conditions, we believe, are fully satisfied in the order of implication of intensities. (DR 252/314)

This condition is met by the fact that intensity is not constructed from pre-existing equal units, as extensity is. Rather, Deleuze’s claim that ‘the world is an egg’ makes explicit that the entire spatium is implicated in the potentialities of each individual egg, although different aspects of it are implicated to different degrees. As each occupies a different position in the spatium, each expresses the spatium differently.
(184-185)


SH will now discuss the fundamental differences between Ideas and intensity. [This as well gets complicated. We first recall from section 4.8 Leibniz’s pairings of clear-distinct and obscure-confused. We note that phenomenal experiences, like the perception of the roar of the ocean, are made of component perceptions, which synthesize into the organic whole. The division of component perceptions goes all the way to the infinitely small. When we hear the ocean’s roar, we are also hearing each tiny wavelet’s sound in tiny perceptions. All those tiny perceptions then add up to the whole roar. Now, the roar as a whole sound, even though it is white noise, is clear to us, because it is distinct from other composite sounds, like maybe music or traffic noise. But do we hear it distinctly? We do not hear all its distinct component parts when we hear the composite whole. Were we to do so, we would somehow hear those sounds individually, but we would lose the clarity of the whole that the little sounds compose. Perhaps that is because we lose the organic unity of differentially related tiny sounds. Maybe we can look at it this way. Consider the ocean’s white noise and the traffic noise. They are clearly different sound experiences. Now consider instead if in each case we heard each tiny component in its distinction. We would be so focused on the parts that we would lose “sight” of the whole, and thus the clarity of the experience is lost, since we would not be able to differentiate the experience of the ocean roar’s tiny parts from the experience of the traffic’s tiny parts. So thus we have the other pairing, the distinct-obscure. Now we will apply these concepts to Ideas and intensive fields. The Idea is a set of differential relations. All of them are distinct. But, the Idea could actualize as one thing or as another. It is not clear which. So the Idea is distinct but it is obscure in how it relates to its explications. Yet, when we look at its actualized explications, it expresses some relations in the idea clearly, but others it also expresses in a less obvious way, and thus these other expressions get confused with the obvious ones. For that reason, from the side of explication, it is clear but confused. Let us consider a possible way of seeing this. Recall from section 4.5 the diagram we looked at.

Morgan. Geoffrey homology p8 or so

“Fig. 3. Limb skeletons of extinct and living animals, showing the homologous bones: 1, salamander; 2, frog; 3, turtle; 4, Aetosaurus; 5, Pleisiosaurus; 6, Ichthyosaurus; 7, Mesosaurus; 8, duck. (After Jordan and Kellogg.)” (Morgan p.8)

Now consider for example numbers 1 and 6. Perhaps we might clearly see that the “f” bones are both expressions of a differential relation in the transcendental “template”. However, in 6, we have a very different distribution and shape to the other bones. So while particular relations to the Idea are clear, on the whole, very many of the relations are confused with one another.]

At this point, we can note the fundamental difference between Ideas and intensity. When we looked at Descartes’ method at the opening to Chapter 3, we saw that Descartes based his method on clear and distinct ideas. The lack of separation between these two terms is, for Deleuze, a fundamental failing of representation [the following up to citation is Deleuze quotation]:

the weakness of the theory of representation, from the point of view of the logic of knowledge, was to have established a direct proportion between the clear and the distinct, at the expense of the inverse proportion which relates these two logical values: the entire image of thought was compromised as a result. (DR 253/315)

Now, as we saw in the previous chapter (4.8), the terms clear and distinct do not need to be associated with one another. If we consider the noise of the sea, we can conceive of it clearly, in that we can recognise it. Nonetheless, we do not perceive the differences which make it up (the noise of the individual drops of water that make it up and are below our threshold of perception). In this case, our perception of the noise of the sea is both clear and confused. If we instead focus on the noise of the individual waves, we can conceive of these distinctly, even though we cannot form a clear idea of them as they are too small to perceive. Thus, in this case, we either focus on the waves, which are distinct, but obscure, or the sea, which we perceive clearly but confusedly. Similarly, the pure Idea, is distinct, in that it is completely determined. Nonetheless, in so far as it is only in relation to a field of intensity that it can determine how it relates to an actual organism (whether it will instantiate a bison or a giraffe), it is obscure. Conversely, intensity expresses some relations clearly only at the expense of other aspects of the Idea which, while still present in the organism, are only present confusedly, on the basis | of the domination of certain intensive potentialities. Thus, the process of differenciation can be seen as the movement from a distinct-obscure Idea to a clear-confused field of intensity.
(185-186)

[The next idea I do not grasp so well. I apologize, but I have to quote it, since I will botch any attempt to interpret it.]

Likewise, the thinker, as an individual, is an intensive field. The thought he expresses, however, is the distinct-obscure of the Idea. What gives unity to the thinker is this intensive nature. Just as we cannot divide an intensity without changing its nature, a thinker cannot give up their unity without ceasing to be the particular thinker that they are. Nonetheless, as we saw in Chapter 2, everything thinks. Thus, the death of the thinker is not the end of thought, but merely a change in thinking’s nature.
(168)

[I want somehow to take something away from this. I get the impression that there is an Idea or a network of Ideas that all thinkers are expressing some part of. But also it seems maybe that each thinker is somehow shaping that Idea or network of Ideas. Also somehow thinking itself in this or in some other more general sense is like an intensive multiplicity, such that were we to divide it or subtract from it, we change the nature of the whole. Thus, when a thinker dies, thinking itself keeps going, perhaps in the minds of other thinkers, but the overall Idea or network of Ideas has somehow changed. And maybe this spills over into how each particular thinker thinks. So perhaps we could say that when Derrida died, something in the way all of us did our thinking has changed somehow, since Derrida himself no longer was shaping the overall Idea or network of Ideas that we all express parts of and also help to shape.]

 

 

 


Citations from:

Somers-Hall, Henry. Deleuze’s Difference and Repetition. An Edinburgh Philosophical Guide. Edinburgh: Edinburgh University, 2013.



Or if otherwise noted:


DR:
Deleuze, Gilles. Difference and Repetition, trans. Paul Patton, New York: Columbia University Press, 1994/London: Continuum, 2004.


Oyama, Susan (2000), The Ontogeny of Information: Developmental Systems and Evolution, Durham, NC: Duke University Press.


Stewart, Ian, and Jack Cohen (2000), The Collapse of Chaos: Discovering Simplicity in a Complex World, London: Penguin Books.

 

Morgan, Thomas Hunt. A Critique of the Theory of Evolution. Princeton/London: Princeton University Press / Humphrey Milford Oxford University Press, 1916.
Available at the Internet Archive:
<https://archive.org/details/critiqueoftheory00morgrich>


Mug topological isomorphism animation:
https://en.wikipedia.org/wiki/Homeomorphism

 




 


 


 

 




 

19 Aug 2015

Somers-Hall, (5.2), Deleuze’s Difference and Repetition, ‘5.2 Thermodynamics and Transcendental Illusion (222–9/280–8)’, summary


by Corry Shores
[Search Blog Here. Index-tags are found on the bottom of the left column.]

[Central Entry Directory]
[Deleuze Entry Directory]
[Henry Somers-Hall, Entry Directory]
[Henry Somers-Hall’s Deleuze’s Difference and Repetition, Entry Directory]

 

[The following is summary. All boldface, underlining, and bracketed commentary are my own. Proofreading is incomplete, so please forgive my typos and other distracting mistakes. Somers-Hall is abbreviated SH and Difference and Repetition as DR.]



Summary of


Henry Somers-Hall


Deleuze’s Difference and Repetition:
An Edinburgh Philosophical Guide


Part 1
A Guide to the Text


Chapter 5. The Asymmetrical Synthesis of the Sensiblence

 

5.2 Thermodynamics and Transcendental Illusion (222–9/280–8)

 



 

Brief summary: 

For Deleuze, difference is difference in intensity. We see in Carnot’s thermodynamic ideas, particularly the second law of thermodynamics, the energetic power of intensive differentials. A thermodynamic system has more power to perform its work when there is a greater difference of temperature between its input heat and its output or environmental cold. However, in other ways, thermodynamics is fundamentally incompatible with Deleuze’s metaphysics. Thermodynamics thinks there is entropy in thermodynamic systems whereby heat differentials tend to equalize over time as systems tend toward a state of homogenized disorder. But Deleuze notes that there is another factor that thermodynamics is missing, which is the generation of the intensive differentials. Thermodynamics cannot for example explain the generation of life, in which there is movement toward more and greater differentials as the organism diversifies and becomes increasingly heterogeneous and organized rather than homogeneously disordered.



Summary



Deleuze opens chapter 5 of DR with a discussion of thermodynamics, which “deals fundamentally with the properties of heat” (SH 167). Carnot is the founder of this field. “His main discovery was that the efficiency of even an ideal frictionless engine was dependent on the difference between its hottest and coldest parts: the greater the difference, the greater the efficiency” (167). SH will “explore Deleuze’s engagement with thermodynamics by looking at three questions. First, what is the transcendental principle that thermodynamics embodies? Second, why does this transcendental principle reinforce rather than overturn good sense? And third, why does Deleuze consider this transcendental principle to be a transcendental illusion?” (167).


So we begin with the “transcendental principle of thermodynamics” which is the second law of thermodynamics. [It seems to be saying that heat always moves from warm to cold places, unless another factor intervenes:]  “The transcendental principle of thermodynamics rests on the second law of thermodynamics. This is, in Clausius’ formulation, the claim that ‘heat does not pass from a body at low temperature to one at high temperature without an accompanying change elsewhere’ (Atkins 2010: 42)” (SH 167). What interests us is the insight of Carnot’s underlying this law.  In order to increase a thermodynamic system’s ability or power to conduct its work, we can either increase the temperature of for example the steam going into the system or else we may decrease the temperature outside it. [I am not sure I understand how this works. Let us just quickly look at some diagrams of a Serling Engine that I have found online. The first one is from Chris Woodford at ExplainThatStuff!:

how-stirling-engine-works

Here is quotation of Woodford’s explanation:

1) Heating and expansion: The gas starts off on the left in the hot end of the cylinder. It's heated by the fire (or other heat source) so its pressure rises and it expands, absorbing energy. As the gas expands, it pushes the work piston to the right, which drives the flywheel and whatever the engine is powering. In this part of the cycle, the engine converts heat energy into mechanical energy (and does work).

2) Transfer and cooling: The displacer piston moves to the left and the hot gas moves around it to the cooler part of the cylinder on the right. Both pistons now move to the right together, so the volume of the gas remains constant as it passes through the regenerator (heat exchanger), giving up some of its energy on the way.

3) Cooling and compression: Now the gas arrives in the coldest part of the cylinder, by the heat sink. Here it cools and contracts, giving up some of its heat, which is removed by the heat sink, and both pistons move inward.

4) Transfer and regeneration: The displacer piston moves to the right and the cooled gas moves around it to the hotter part of the cylinder on the left. The volume of the gas remains constant as it passes back through the regenerator (heat exchanger) to pick up some of the heat it previously deposited. The gas is now back where it started and the process can repeat.
(diagram and text taken gratefully from: Chris Woodford at ExplainThatStuff!)

Here is another animated diagram of a Stirling Engine from the course webpage of David Wallace’s and Douglas Hart’s MIT course, Mechanical Engineering Tools.

engine

Here is quotation from their webpage:

Stirling engines are unique heat engines because their theoretical efficiency is nearly equal to their theoretical maximum efficiency, known as the Carnot Cycle efficiency. Stirling engines are powered by the expansion of a gas when heated, followed by the compression of the gas when cooled. The Stirling engine contains a fixed amount of gas that is transferred back and forth between a “cold” end (often room temperature) and a “hot” end (often heated by a kerosene or alcohol burner). The “displacer piston” moves the gas between the two ends and the “power piston” changes the internal volume as the gas expands and contracts.

Air in the engine is cyclically heated (by an alcohol burner) and expands to push the power piston (shown in blue) to the right. As the power piston moves to the right, the yellow linkage forces the loose-fitting, red "piston" (on the left half of the machine) to displace air to the cooler side of the engine. The air on the cool side loses heat to the outside world and contracts, pulling the blue piston to the left. The air is again displaced, sending it back to the hotter region of the engine, and the cycle repeats.

The Stirling engine cycle can also be used “in reverse”, to convert rotating motion into a temperature differential (and thus provide refrigeration).

(Image and text taken gratefully from David Wallace’s and Douglas Hart’s MIT course, Mechanical Engineering Tools, webpage)

Perhaps the idea here is that we can make the engine work harder by increasing the heat that pushes the piston. Or, consider also if on the other side the gas in the chamber were cooler. Perhaps that would mean that the tendency for the heated air to expand and push the piston to the colder side would be greater, and thus with the same amount of heat input there would be more force to the expansion. Or, perhaps what we should be interested in is the third step of cooling and compression, when “The air on the cool side loses heat to the outside world and contracts,” and so were the outside world colder, perhaps this contraction would be more forceful. Probably I have this wrong, but what we are looking for is the work being greater were the difference between hot and cold to be greater. What is important here philosophically is that difference in intensity, that is in this case, the difference between two temperatures, is what is responsible for the work. Deleuze also claims that intensity is difference, perhaps because for example temperature is already a matter of difference or variation, but I am not sure.]

Now, this statement rests on a central insight by Carnot that, when we look at a system, the work that the system is able to do is not dependent on the heat entering the system, but rather on the difference between the temperature entering the system and the temperature leaving the system. Thus, if we wished to improve the efficiency of, say, a steam engine, we could do this either by increasing the temperature of the steam that powers it, or alternatively we could reduce the temperature of the environment surrounding the generator (although only the first of these alternatives is in general really practical). The important implication of this is that what allows work to be done by a system is not intensity (temperature in this case), but rather difference in intensity (and in fact Deleuze makes the stronger claim that ‘intensity is difference’ [DR | 223/281])
(SH 167-168)

[I do not follow the next points so well. The next one seems to be that because difference in temperature is needed for the engine to work, difference is needed for anything whatsoever to happen or to appear. “Carnot’s work shows that if the input and output energies of an engine were equal, the efficiency of the engine would drop to zero. Thus, difference is fundamentally implicated in ‘everything which happens and everything which appears’ (DR 222/280)”. But I do not know how to draw that inference yet. Perhaps the idea is that for something to appear or to happen, there needs to be a change, and for there to be a change, there needs to be imbalance and thus difference in intensity like between hot and cold. This also holds for phenomenal appearing. The next idea seems to be that were thermodynamics to stop here at the second law, then it would be compatible with Deleuze’s metaphysics of difference. But thermodynamics has other notions which are not compatible with Deleuze’s philosophy, namely, entropy and the equalization of differences.]

Carnot’s work shows that if the input and output energies of an engine were equal, the efficiency of the engine would drop to zero. Thus, difference is fundamentally implicated in ‘everything which happens and everything which appears’ (DR 222/280). In line with Deleuze’s distinction between the transcendental and the empirical, Deleuze draws from this the principle that ‘every phenomenon flashes in a signal-sign system’ (DR 222/280). Just as the difference in the intensity of temperature gives rise to work, Deleuze’s claim is that more generally, differences in intensity manifest themselves as qualities in the phenomenal world. If this were the final result of thermodynamics, then clearly it would provide a model of physics commensurate with Deleuze’s metaphysics. Deleuze claims, however, that thermodynamics betrays its own principle of difference through the introduction of entropy, and the concomitant equalisation of differences.
(168)


But such thermodynamic systems are never perfectly efficient, since some energy will always be lost rather than put to work. For example, a steam engine heats its surrounding air, which is heat lost outside the system. [I am not sure I completely follow the next point about refrigeration. The important idea seems to be that refrigerators are open systems, since they exchange heat with the environment (I am not sure how they work, but perhaps what they are doing is keeping the inside cold by pushing the heat out of the system). The other important idea here seems to be that it maintains a temperature differential, I suppose between the inside of the system and the outside, where instead of heat going to the cold, that is, moving from outside to inside, it instead moves from cold to hot, that is inside to outside. I am not sure why that is important, but maybe the idea is that the refrigerator seems to act against forces of entropy. However, the whole universe, which is a closed system since it has no outside to it, will not be able to maintain temperature differentials, since they will all tend to equalize. This means eventually all temperatures will homogenize. It also means that time is moving in the direction toward this ‘heat death’.]

If we return to Carnot’s engine, we can see that useful work cannot be done with total efficiency by the engine (except in the impossible situation of a difference between absolute zero and an infinite temperature). What happens to the heat that isn’t converted into work by the engine? Well, this energy is introduced into the output reservoir as heat (just as a steam engine heats the environment as well as moving the train). Thus, in the process of doing work, the system reduces the difference between the two temperatures. It is possible to reverse this process within the system itself by doing work (a refrigerator, for instance, is able to reduce the temperature of objects placed within it), but this work itself will not be totally efficient. We can see this in the case of the refrigerator if we take into account its environment. In order to create a temperature differential, it requires a flow of energy from outside of it. So while the refrigerator allows heat to flow from bodies at low temperature to bodies at higher temperatures, this is only as a result of an interaction with its environment whereby energy is supplied to it by equalising a temperature differential elsewhere (the power station, for instance). In this case, a temperature differential is maintained in the system because the system exchanges heat with its environment (it is what is known as an open system); but if we look at the universe as a whole as a system, we can see that in this case, there is no further environment with which it can exchange energy (it is a closed system). Now, given the first law of thermodynamics, which states that there is a fixed quantity of energy in the world, then, over time, as various processes in the universe do work, more energy will be lost as heat as a result of inefficiency. Eventually, | the differences in intensity that make work possible will themselves be equalised by this loss of heat, leading to what Boltzmann called the ‘heat death’ of the universe, as it becomes a homogeneous field of constant temperature. This, according to thermodynamics, is what gives the ‘arrow of time’ a direction: time only moves in one direction because certain processes are irreversible.
(168-169)


Deleuze will now relate these notions to the good sense and common sense. [I do not follow this part very well. For this we need to recall that “common sense refers to the indeterminate structures of the subject and the object.” But I do not remember what this indeterminacy is, so I am missing most of the reasoning here. Maybe the idea is that the world we encounter, and we ourselves, are not determinate but secondarily obtain determinations through our faculties’ cooperating to recognize objects and ourselves. The basic idea (the reasoning behind which I do not grasp at all) seems to be that if we regard the world as being made of indeterminate objects and subjects, then we will also think that the world is made of properties which are differential relations that dissipate, equalize, and homogenize like heat is thought to do in thermodynamics. Let me quote it so we have it right:]

Deleuze relates this result to the structures of good sense and common sense. As we saw, common sense refers to the indeterminate structures of the subject and the object. Now, we never actually encounter indeterminate objects, but rather a field of objects, each with diverse properties. It was good sense that related these various properties together into a hierarchy, such as the tree of Porphyry, affirming their ordered relation to the object as an instance of an object in general. Here, thermodynamics provides a physical instance of this process. If the properties of objects are defined by differences in intensity, then thermodynamics shows that over time, these differences, and hence the properties they sustain, will be cancelled out. The heat death of the universe, with its model of total homogeneity, is the final affirmation of the true nature of the world as grounded in indeterminate subjects and objects, despite the transient appearance of diversity that appears to signal otherwise [the following up to citation is Deleuze quotation, and the bracketed text to follow is SH’s].

[Good sense] ensures the distribution of that difference in such a manner that it tends to be cancelled in the object, and because it provides a rule according to which the different objects tend to equalise themselves and the different Selves tend to become uniform, good sense in turn points towards the instance of a common sense which provides it with both the form of a universal Self and that of an indeterminate object. (DR 226/285)

Thus, organised systems tend to fall into disorder over time as the intensive differences that allow structure and useful work to take place give way to a disordered field lacking in any organising differences in intensity.
(SH 169)


Deleuze thinks this thermodynamic model is a transcendental illusion. This is because it assumes that the differences in intensity are pregivens rather than needing to be generated and distributed in the first place. These theories were invented by people whose interest was in isolated systems that are brought into interaction with other systems, like engines brought into relation with their environment as they are put to work. [The next idea seems to be that when you link up two systems, disorder increases because you have more variables and factors interacting.] But we also find that systems tend to isolate themselves from their environments and instead of increasing entropy, decrease it, as in the case of living beings and their evolution. Thermodynamics cannot account for the emergence of life, which acts contrary to entropy, [since it generates more differentials, heterogeneities, and variations rather than decrease them into a state of disordered homogeneity.]

Finally, why is this model considered by Deleuze to be a transcendental illusion? As Deleuze notes, the theory of thermodynamics is a partial truth, but it becomes a transcendental illusion when we attach ‘the feeling of the absolute to [this] partial [truth]’ (DR 226/284). This partial truth operates within the framework of ‘forms of energy which are already localised and distributed in extensity, or extensities already qualified by forms of energy’ (DR 223/281). As such, it assumes the differences in intensity as already given as preformed. What is missing | from the thermodynamic model is an account of the genesis of these intensive differences in the first place, and their localisation in particular regions of extensity (space). As Deleuze puts it, ‘perhaps good sense even presupposes madness in order to come after and correct what madness there is in any prior distribution’ (DR 224/283). Stewart and Cohen argue similarly in their study of complexity theory that the classical model of thermodynamics works well for the kinds of systems its inventors were interested in (Stewart and Cohen 2000: 258). These situations were where we have an individuated, isolated system that is brought into interaction with another system (the engine being brought into relation with its environment, or in Boltzmann’s classic example, the mixing of two gasses). In these cases, the amount of disorder increases because the number of systems has reduced, just as ‘a children’s party with ten children is far more chaotic than two parties with five each’ (Stewart and Cohen 2000: 258). If we move away from the mechanical models of the nineteenth century, we find that frequently systems are not just put into relation to their environment, but are also capable of isolating themselves from this environment. Life, for instance, is a process of individuation whereby new systems emerge, and with this emergence, decrease the amount of entropy present in the world: The features that are of interest when studying steam engines, however, are not particularly appropriate to the study of life . . . For systems such as these, the thermodynamic model of independent subsystems whose interactions switch on and off is simply not relevant. The features of thermodynamics either don’t apply, or are so long-term that they don’t model anything interesting. (Stewart and Cohen 2000: 259) While thermodynamics provides an account of processes affecting preconstituted systems, qualities and extensities, it does not account for the emergence of these systems, qualities and extensities in the first place. Much of the remainder of the chapter will attempt to show how intensity is central to this process of constitution.
(SH 169-170)






Citations from:

Somers-Hall, Henry. Deleuze’s Difference and Repetition. An Edinburgh Philosophical Guide. Edinburgh: Edinburgh University, 2013.



Or if otherwise noted:


DR:
Deleuze, Gilles. Difference and Repetition, trans. Paul Patton, New York: Columbia University Press, 1994/London: Continuum, 2004.


Atkins, Peter (2010), The Laws of Thermodynamics: A Very Short Introduction, Oxford: Oxford University Press.


Stewart, Ian, and Jack Cohen (2000), The Collapse of Chaos: Discovering Simplicity in a Complex World, London: Penguin Books. Tomarchio, John (2002), ‘Aquinas’s Concept



Engine text and diagrams taken gratefully from:


Chris Woodford at ExplainThatStuff! “Stirling enginges.”
http://www.explainthatstuff.com/how-stirling-engines-work.html


David Wallace’s and Douglas Hart’s MIT course, Mechanical Engineering Tools. http://ocw.mit.edu/courses/mechanical-engineering/2-670-mechanical-engineering-tools-january-iap-2004/study-materials/




 


 


 

 




 

17 Aug 2015

Somers-Hall, (4.5), Deleuze’s Difference and Repetition, ‘4.5 Second Example: The Organism as Biological Idea (184–5/233–4)’, summary


by Corry Shores
[Search Blog Here. Index-tags are found on the bottom of the left column.]

[Central Entry Directory]
[Deleuze Entry Directory]
[Henry Somers-Hall, Entry Directory]
[Henry Somers-Hall’s Deleuze’s Difference and Repetition, Entry Directory]

 

[The following is summary. All boldface, underlining, and bracketed commentary are my own. Proofreading is incomplete, so please forgive my typos and other distracting mistakes. Somers-Hall is abbreviated SH and Difference and Repetition as DR.]



Summary of


Henry Somers-Hall


Deleuze’s Difference and Repetition:
An Edinburgh Philosophical Guide


Part 1
A Guide to the Text


Chapter 4. Ideas and the Synthesis of Difference

 

4.5 Second Example: The Organism as Biological Idea (184–5/233–4)

 



 

Brief summary: 
There are three critical features of “the Idea”: 1) its parts by themselves are undetermined, but 2)  become so through and by their reciprocal relations, of which 3) there is a great variety of possible spatio-temporal actualizations. The second of Deleuze’s three examples is Geoffroy Saint-Hilaire’s homological model of evolutionary anatomy. In Cuvier’s comparative anatomy, parts that are similar have similar names, but when they have dissimilar form and function, they get different names. Yet, as species evolve from other species, they will have certain parts whose form and function have altered, but which maintain the same relational place in the entire system as their prior instantiation did. So when we only classify the parts based on form and function, we lose a sense of their evolutionary descent. Geoffroy’s alternative model of anatomy, however, keeps these evolutionary links. For him, there is a transcendental structure, which is a template not for the parts themselves but rather for their relations. Each instantiation in different species will have different forms and functions, but the parts will also maintain the same relations to the other parts. So for Cuvier, the fin of a fish and the arm of a man are different anatomical parts, given that they look very different and they serve different roles. However, for Geoffrey, they are analogous in their structural relation to the rest of their respective skeletons, and thus his model allows us to see the evolutionary descent. Geoffrey’s model also exhibits the three traits of the Idea, since 1) the parts have no sensible or conceptual determination on their own in the abstract “transcendental” template, but 2) they gain determination when understood in terms of the basic relations between parts, and 3) many possible instantiations of these relations have and still can actualize in the evolution of species. Deleuze thinks that Geoffrey’s model is still too tied to actual instantiations, but that genetics is an improvement, since it is less so.

 

 



Summary

 

Previously Deleuze gave his first example of the Idea. The second example

is derived from a nineteenth-century debate over the nature of the organism. This was the debate as to whether comparative anatomy should understand the structure of organisms in terms of what are known as analogies or in terms of homologies
(SH 144-145)

[For more on this topic, see these very excellent sections of Somers-Hall’s Hegel, Deleuze, and the Critique of Representation. Dialectics of Negation and Difference: Pt3.Ch8.Sb6 ‘Deleuze, Geoffroy, and Transcendental Anatomy’ and Pt3.Ch8.Sb7 ‘Teratology and Teleology’. Selected parts and more elaboration can be found in the comments section to the entry for section 1.8 of Deleuze’s Difference and Repetition.] SH explains:

For traditional (and pre-evolutionary) comparative anatomy, the names of the parts of animals are, to a certain extent, derived analogically from other animals, archetypally with man. On a model dating back to Aristotle, we define what an organ is by looking at the functional role it plays in allowing the organism to perpetuate itself. Parts are thus defined by their relationship to the whole. The importance of this relationship is made clear by one of the most important comparative anatomists of the nineteenth century, Georges Cuvier, who claims that ‘it is in this dependence of the functions and the aid which they reciprocally lend one another that are founded the laws which determine the relations of their organs and which possess a necessity equal to that of metaphysical or mathematical laws’ (Cuvier, quoted in Coleman 1964: 67). When the function or form of the parts differ, however, a different term must be assigned to the part in question. Thus, although there is a similarity between the fins of a fish and the arm of man, on a teleological account, the functional and structural differences mean that different terms must be applied to each. This teleological account proves itself to be problematic in terms of evolutionary theory, since evolution often involves the change of function of the same structure between different creatures.
(145)

[I might be missing the point, but it seems to be that an evolutionary theory needs to be able to account for the chain of development from one species to another, with (at least some of) the anatomical parts of the descendent being evolutionary variations on those of its ancestor. And, those variant parts may also serve a completely different function. In Cuvier’s system, we would give that anatomical part a different name, but in doing so, we lose a sense of the evolutionary descent from its ancestor. What we  need instead is model of anatomy which allows us to better grasp the lines of evolutionary development despite the stark differences in function and form of the parts from one species to its evolutionary descendent. Geoffroy St. Hilaire had a different way to understand the evolution of the anatomical parts, which proves better for this task. For him, we are to think of a basic template of a structure not for the parts themselves but instead for their relations. Many animals then are variations of this basic template, with drastic variations in the form and function of the parts, while still these parts are analogous to one another. Let us look at a diagram from a book that is making a similar point.

“The hand and the arm of man are similar to the hand and arm of the ape. We find the same plan in the forefoot of the rat, the elephant, the horse and the opossum. We can identify the same parts in the forefoot of the lizard, the frog (fig 3), and even, though less certainly, in the pectoral fins of fishes. Comparison does not end here. We find similarities in the skull and back bones of these same animals; in the brain; in the digestive system; in the heart and blood vessels; in the muscles” (Morton p.8).

Morgan. Geoffrey homology p8 or so

“Fig. 3. Limb skeletons of extinct and living animals, showing the homologous bones: 1, salamander; 2, frog; 3, turtle; 4, Aetosaurus; 5, Pleisiosaurus; 6, Ichthyosaurus; 7, Mesosaurus; 8, duck. (After Jordan and Kellogg.)” (Morton p.8)

In this original text, the author is making a point about comparative anatomy, which it seems is different from Geoffrey’s model. However, we still see in this diagram how the anatomical parts each themselves are different in form and function, but their overall relations to one another are maintained in each case. Thus, the same part that becomes a fin on a fish also becomes an arm or leg on a human.]

Now, one of the key conceptual developments that made the theory of evolution possible was Geoffroy St. Hilaire’s positing of homologies between different parts of organisms. Rather than seeing an organism as defined by the form or function of parts, Geoffroy, a contemporary of Cuvier, saw it as defined by the relations between parts. By focusing on relations rather than functions, Geoffroy was able to provide an account that explains one of the key results of evolutionary theory – that the same structure can change its function in different organisms (fins becoming arms, for instance). Geoffroy didn’t relate organisms to one another directly to generate his account of homologies, but rather posited a transcendental structure of an ideal organism that other organisms were instantiations of (he called his approach ‘transcendental anatomy’).(SH 145)


[SH then moves to what Deleuze sees in Geoffroy’s model. I do not follow it perfectly well, so I will quote it below. It seems the point is that the transcendental structure is somehow like a field of differential relations, and as a whole the model has the three traits of an idea: 1) On the abstract level of the “transcendental structure,” each of the “parts” is really like a juncture of relations between possible instantiations. So in the transcendental model there is a relation which would be between parts that in the instantiation of the human is the relation between the arm bones and the rest of the skeleton, while in the instance of the fish the relation stands between the fin and the rest of the skeleton. But these abstract place-holders in the transcendental structure have no meaningful “content” by themselves. Thus the parts are indeterminate on their own, but have some sensible meaning when understood in terms of how they form relations. And so, 2) the elements are determinable only in their reciprocal relations. And 3) there are countless evolutionary variations of these same differential relations. The last point about genetics I am not grasping so well. It seems that Deleuze is saying that for Geoffroy, since the homologies are always actual, that they are too much about the actual to constitute a good example for the Idea. However, the field of genetics perhaps is somehow more about the field of differential variation on the level of coding and thus is a better example for the Idea. Please read to be sure of the meaning:]

Deleuze’s interpretation of Geoffroy’s work rests on what he calls Geoffroy’s dream, ‘to be the Newton of the infinitely small, to discover “the world of details” or “very short distance” ideal connections beneath the cruder play of sensible and conceptual differences and resemblances’ (DR 185/233). He claims that what Geoffroy is aiming at with his emphasis on connections is a field of differential elements (the ideal correlates of the bones) forming specific types of relations (the connections | which are central to Geoffroy’s account). On this basis, Deleuze claims that Geoffroy’s transcendental anatomy functions like an Idea, with its three characteristics. The elements of the Idea ‘must have neither sensible form nor conceptual signification’, and transcendental anatomy fulfils this requirement due to the fact that what is important is not the sensible properties of the bones, which vary in different creatures, but their relations. Second, ‘these elements must be determined reciprocally’, which means that what is central is not the bones themselves, but the connections they hold with other bones, what Geoffroy calls the ‘unity of composition’. Third, ‘a multiple ideal connection, a differential relation, must be actualised in diverse spatio-temporal relationships, at the same time as its elements are actually incarnated in a variety of terms and forms’. Deleuze emphasises that homologies do not exist directly between actual terms, ‘but are understood as the actualisation of an essence, in accordance with reasons and at speeds determined by the environment, with accelerations and interruptions’ (DR 184/233). That is, we discover a homology between two creatures by recognising that the actual parts of both organisms are actualisations of the same transcendental essence, the unity of composition, rather than by an analogical correlation of actual terms, as in comparative anatomy. As Deleuze notes, this approach finds its parallels in genetic theory, where genes gain their significance from their relations to one another. In fact, genetics represents an advance over Geoffroy’s account in that for him the transcendental correlates of bones, according to Deleuze, ‘still enjoy an actual, or too actual, existence’ (DR 185/233–4). The Idea in this case therefore allows us to determine in what way diverse phenomena (different organisms) are related to one another.
(145-146)






Citations from:

Somers-Hall, Henry. Deleuze’s Difference and Repetition. An Edinburgh Philosophical Guide. Edinburgh: Edinburgh University, 2013.



Or if otherwise noted:


DR:
Deleuze, Gilles. Difference and Repetition, trans. Paul Patton, New York: Columbia University Press, 1994/London: Continuum, 2004.



Somers-Hall, Henry (2012) Hegel, Deleuze, and the Critique of Representation. Dialectics of Negation and Difference. Albany: SUNY.

 

Coleman, William (1964), Georges Cuvier: Zoologist, Cambridge, MA: Harvard University Press.



Morgan, Thomas Hunt. A Critique of the Theory of Evolution. Princeton/London: Princeton University Press / Humphrey Milford Oxford University Press, 1916.
Available at the Internet Archive:
<https://archive.org/details/critiqueoftheory00morgrich>

 

 




 

13 Jan 2013

Somers-Hall’s Hegel, Deleuze, and the Critique of Representation. summary


by
Corry Shores
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[Note: All boldface and underlining is my own. It is intended for skimming purposes. Bracketed comments are also my own explanations or interpretations.]


 

Henry Somers-Hall

 

Hegel, Deleuze, and the Critique of Representation.

Dialectics of Negation and Difference


 


Very, Very, Very  Brief Summary:

Deleuze’s subrepresentational self-differentiation is superior to Hegel’s infinite representational self-differentiation in solving the problems that self-identity causes in Kant’s and Aristotle’s (likewise Russell’s) representational systems.

 

Very, Very Brief Summary:

Self-identity in representational systems leads to problems in explaining the highest part, the lowest part, and the compositional principle of Kant’s, Aristotle’s (and Russell’s) representational systems. Hegel’s and Deleuze’s principles  of self-difference can solve them. Hegel’s productive self-contradiction and sublation suffices logically but not in application to evolution. Deleuze’s non-oppositional subrepresentational difference however does suffice in this regard.

Very Brief Summary:

A strict view of logical identity leads to problems in Kant’s and Aristotle’s representational systems. The unities of and between concept and intuition that enable our subject-predicate judgments of the world for Kant are based on the unity of a transcendental self. But Sartre shows this is merely a convenient assumption, because for him the unity of consciousness of the object is based on the continuous unity of the object’s givenness. For Deleuze the grounds for our judgments are based on neither the unity of the subject, of the concept, nor of the object, but rather on the unity of incompossible undetermined predicates implying a subject with virtual variations. As it is made of the integration of incompossibilities, it lacks the coherence of self-unity necessary for representation. Another question regards the representational nature of the categories we use for judgment. Aristotle and Russell have hierarchies, but because they exclude self-reference and excluded middle, the very foundations (largest parts), compositions of individuals (smallest parts), and method of composition (division/class inclusion) of their representational systems are problematic and unrepresentable within the systems themselves. Hegel and Deleuze have different ways of solving this by incorporating self-difference into their systems. Hegel’s productive self-opposition creates a genetic line of sublated categories. Deleuze’s Bergsonian continuously integrated heterogeneous multiplicity allows a plurality of differentially related incompossible actualizations to coexist virtually. Hegel’s and Deleuze’s interpretations of differential calculus show us that for Hegel there are ultimately determinate parts that are not finite but make finite values when differentially related; where for Deleuze there are ultimate undetermined parts that are nonetheless determinable as extensive finite values when differentially related. For Hegel the unconditioned (dialectic) and the conditioned (categories it creates) are on the same ontological plane, but for Deleuze the unconditioned (genesis of virtual differentials) and the conditioned (actualization of extensities) are on two different planes, the virtual and the actual, so they cannot succumb to Hegel’s system by being sublated. However, Hegel’s dialectic can be seen within Deleuze’s system as a secondary movement to the genesis of difference. Hegel’s theory cannot explain the creation of variation needed in evolutionary theory, but Deleuze’s can.


Brief Summary:

Deleuze and Hegel offer solutions to the problems of representational systems, which are philosophical systems based on self-unity, identity, and the law of excluded middle. For Kant, our judgments of things have a subject-predicate structure that is parallel to the subject-predicate structure of concepts and intuitive objects (having the subject-property structure). What unifies each themselves and all with each other is the a priori unity of a transcendental self. Sartre thinks the unity of objects precedes that of the self. Deleuze’s transcendental empiricism posits neither the unity of the self nor of the object; things obtain something like a subject-predicate form from incompossibilities being various and indeterminate, but the thing taking these possible predicates is the subject of the judgments. A strict adherence to the principle of identity and the law of excluded middle causes problems in Aristotle’s and Russell’s logical systems of classification. For Aristotle, the highest genus is being or unity. But, as it has no genus above it, it cannot be defined according to the structure of this system of division (the problem of the large) and yet all beings under it are characterized by this unrepresentable classification. The species gives the essence, and under the species is the individual, which is distinguished from other individuals not by essential but by accidental traits. But in moments of change, something with one essence has contradictory accidents, and also we don’t know until after the change what was essential and what was accidental. So the individual cannot be represented properly in this system (the problem of the small). Also there are cases in the natural world, ring species, which cannot be classified using Aristotle’s system of division (the problem of division). Russell also has the problem of the large. He must ban self-reference from his system of set classifications so to avoid the paradox of the set of all non-self-including sets. Yet self-reference is needed to establish identity. Hegel’s dialectic and Deleuze’s philosophy of difference are competing solutions to these problems with representational systems. Deleuze’s system is based on Bergson’s continuously integrated heterogeneous multiplicity. We can understand it using Riemann topographical space. Deleuze’s virtual/actual relation is like topographical phase space portraits, where we can see all possible actual ways a system can behave. All the incompossible actualizations are differentially related yet are continuously integrated. Hegel’s internal dialectic makes use of productive contradiction: from out of a concept arises its contradiction, and from out of that opposition arises a new concept not implied in the first ones. So contraries are located within one another, and there is a genetic chain of production of the categories of understanding. Finite thought like that used in Kant’s and Aristotle’s systems would find such contradiction unthinkable, but Hegel’s infinite thought can think these contradictions. Hegel’s and Deleuze’s interpretations of the differential calculus help us elaborate their positions. For Hegel, the differential is a relation between vanishing values, they are caught in the act of the sublation of the finite and infinite: the values are vanishing and hence are not finite, but their differential ratio is a finite value; and each is constitutive of the other. For Deleuze, the differential values are not determinate, yet they are determinable in differential relation to one another. For, they are subrepresentational, meaning that they are on a level where parts are not externally exclusive like in extensity, so they are not self-identifiable. The important distinction is that for Hegel the terms are representable and determinate, but are only thinkable using infinite thought. In examining Kant’s antimony of the beginning or beginningless of the world, we see that for Kant, we have this antinomy because we mistakenly think the unconditioned is among the conditioned, when in fact it is noumenal; for Hegel the antinomy indicates the sublation of finite (the necessity for a limit) and infinite (the necessity for all limits to be surpassed), and for him the conditioned and unconditioned are on the same level; yet for Deleuze, the conditioned (actual) is on a different level than the unconditioned (virtual) but the virtual is not outside our knowledge, rather it is only knowable outside representational thinking. Hegel could subsume Deleuze’s virtual and actual by sublating them, but that would fail since they are two tendencies of the real and are not really opposites. Deleuze could subsume Hegel’s dialectic by saying it is a secondary movement to genesis of pure difference that happens on the level of actuality and representation. But Hegel could say that from the perspective of logic there is no such thing as Deleuze’s difference. So we test them by seeing how their theories of the composition of the organism suffice in evolutionary theory. Hegel is like Cuvier in thinking that the organism’s parts are matters of how they function in service of the whole (teleological); organ and organism, individual and species are like sublated opposing terms. But this means that deformations are deteriorations in structure and thus cause deficiencies in functionality. But evolutionary theory depends on a positive account of anatomical variations; natural selection needs to pick the best from a variety of mutations. Geoffroy’ s and Deleuze’s view sees variations as different actualizations of a transcendental model, so their view is more compatible with evolutionary theory. Because Hegel’s anatomy is representational, we can see one superiority in Deleuze’s subrepresentational response to representational philosophies as opposed to Hegel’s infinite representational approach.

 




Summary


Henry Somers-Hall will examine how Deleuze and Hegel respond to the shared problematic of representation in philosophy. He then pits them against one another, and applies them to the role of the structure of the organism in evolution, to evaluate them with respect to one another.

 


In the first part, we begin by seeing how the history of philosophy contains tendencies toward building theories and systems on the basis of representation. This means that they make use of principles of self-unity, identity, and the law of excluded middle. There are problems with these approaches. Deleuze and Hegel offer solutions. There are two cases under investigation. The first is the transcendental grounds of our knowledge, specifically, what principle allows us to make judgments of the world? Kant offers a representational theory. It is representational, because it is based on a self-identical a priori unified self that is represented in all inner acts, in their accompanying ‘I think’. This unity unifies the empirical world into things with a subject-property structure, it unifies our concepts into subject-predicate structure, and it unifies our concepts and our intuitions into representable judgments with the subject-predicate structure. Sartre’s critical stance would say that it is really the unity of objects, and not subjects, that comes first and the unity of the self comes secondly. For Deleuze, a unity neither of consciousness, of self, nor of the objects, is what grounds our subject-predicate knowledge of things. Rather, each moment, events can go many different ways, so the same subject now has many various undetermined predicates, and they are incompossible. Because they are contradictory, the predication of a subject is not representable, even though the subject-predicate structure is there. This is Deleuze’s transcendental empiricism. Another case of representation in the history of philosophy is the use of the principle of identity and excluded middle in Aristotle’s and Russell’s theories of classification. For Aristotle, we define species on the basis of their differences. But the highest genus, being or unity, has nothing to differentiate from, no genus above it or species beside it, so it is indeterminate. However, it is the basic principle saying that all beings are self-unified and have identities (and thus also the system is thoroughly representational). The very representational basis of his system is not itself representational. Russell’s theory of class inclusion is also representational. Things are strictly categorized and defined by their groupings. There cannot be contradiction in the system, or instances when something’s identity contradicts its classification. So it cannot have the paradoxical class of all non-self-inclusive classes. Such a class is meaningless, it cannot be represented in the system. And yet, such a class is based on the same notion of inclusion as all the others. Hence class inclusion, as a universal concept that forms the basis of all instances of classification in his system, is not representable in this system. So somehow the nature of inclusion for each level is distinguishable, when in fact it is the same sort of inclusion each time. Also, identities and essences are representable, but moments of self-contradiction do not fit into such representable systems. This means that when something is changing, we cannot represent what is happening in the phase of transition when contradictory properties are coincident (like being both wood and fire in the action of ignition). Hegel’s solution is to make contradiction productive, using internal dialectic, where some concept brings about its own self-contradiction, and out of it comes a new concept not implied in the first. For Deleuze, this solution still has the problems of representation, as we will later see. Deleuze’s solution is a non-oppositional concept of difference.

 

 

In the second part, we formulate Deleuze’s and Hegel’s alternate proposals. Deleuze’s is based on Bergson’s duration, which is a continuously-integrated heterogeneous multiplicity, unlike the discrete multiplicity of externally related extensive parts characterizing homogeneous space. Bergson’s heterogeneous multiplicity better explains living systems.

Deleuze then uses Bergson’s continuously integrated heterogeneous multiplicity to characterize the Idea, the problem, and the concept. In all cases, they are terrains of virtual differential incompossibly-actualizeable paths of developmental explication. We can understand them with the model of topographical phase space portraits. They indicate all the tendencies for a system’s development using terrain features. This describes the system’s behavior on a whole, but in each instantiation only one possible line of development indicated in the map is actualized, because all the lines are incompossible yet coincident in this virtual form. They explicate into extensity. And any one actualization implicates the totality of the whole ‘problematic’.

Hegel’s dialectical movement brings contraries within one another, and also unites them on the basis of their genetic productions of one another. This allows him to go beyond Kant’s finite thought, and also to have totality to his system and an account of change, which is lacking in Aristotle’s system.  Kant cannot go beyond finite thought, because it cannot think contraries together, like Hegel’s infinite thought can. And because Hegel’s concepts are united genetically, differences are inherently linked, and thus he can have totality to a system of differences without the need of some generic category to encompass them all, which was a source of a problem for Aristotle. Rather, their genetic process of unfolding is the glue uniting the differences. Thus Hegel can also explain the process of change, as he has accounted for the process that generates and unites the diverse contradictory changes when something alters.

 

Now in this final part, we examine how Deleuze and Hegel propose theories that try to overcome the problems of representational theories like the ones we saw in the first part, and we pit the theories against one another and apply them to evolution so to better evaluation them. First we examined how Deleuze’s and Hegel’s responses to classical representationalist philosophical can be compared on the basis of their different interpretations of differential calculus and Kant’s antinomies. We found that for Deleuze we have an unconditioned ground of sensible and intelligible things that is subrepresentational, and for Hegel it is representable, using infinite thought. The calculus differential determines the varying relation between variables that vary with respect to one another. Leibniz saw it as the relation between infinitesimal magnitudes but there are formal problems with this. Newton saw it in terms of vanishing values. Hegel regards the vanishing values as being determinate values that combine finite and infinite, and being and nothingness. This contradiction is only thinkable with infinite thought. For Deleuze the terms of the differential relation are undetermined and subrepresentational, but they are determinable in relation to one another and are the unconditioned condition of conditioned actual determinations. Kant thinks we arrive at antinomous theories regarding whether there is a temporal beginning to the world because our understanding is unable to grasp the unconditioned, the thing in itself, with its categories. Hegel thinks the antinomies go together. Together they express the genuine infinite, because they affirm both that there is a limit and also that it is surpassed. For Hegel the unconditioned, the dialectical contradiction, is representable with infinite thought. Deleuze thinks that the unconditioned is thinkable but not using representational thought but rather using the logic of incompossibility.

We then saw how Deleuze’s philosophy of difference is more resilient to attack than Hegel’s, when both are pitted against one another. If Hegel wanted to critique Deleuze’s philosophy of difference, he would show how Deleuze’s virtual and actual as contraries dialectically sublate, which collapses the basic distinction of Deleuze’s ontology. However, because Deleuze’s virtual and actual are two tendencies of the real and not contraries, such a Hegelian critique would not hold. From a Deleuzean perspective, Hegel’s dialectic could be viewed as a false movement, with Deleuze’s genesis of difference being the real movement. Yet Hegel purely from a logical standpoint might say that Deleuze’s difference does not exist.

So we then applied Deleuze’s and Hegel’s responses to representation to evolutionary theory to see which one is more compatible and also to see if Deleuze’s three criticisms of Hegel still hold: [1] Hegel’s is a false movement, [2] Hegel’s logic revolves around a single center, and [3] Hegel’s dialectic does not provide enough precision for characterizing the world. For Hegel, nature is the one totality and it externalizes into multiplicity, but these form unified systems where parts and their whole are reciprocally determining. Hegel’s dialectic is  not temporal, so it does not describe an evolutionary progress through time. The structure of the organism is the reciprocally determining relation between organism and organs, which are opposing dialectical pairs like the one and the many. Individuals and species bear this organ/organism relation too for Hegel. Hegel’s structure of the organism is more closely tied to Cuvier’s anatomy, which is functional and teleological, meaning that organisms’ anatomical structures can be understood in terms of their functional purposes. Geoffroy’s homological theory of the unity of composition does not identify anatomical parts on the basis of their functions. Rather, he looks to see if the relations between the parts are isomorphic to a transcendental model which is so abstract that it can actualize in a wide variety of forms, such that a fin can be identified with an arm. This is compatible with Deleuze’s transcendental empiricism and theory of the virtual, which sees there being a transcendental level that is actualized in various ways. Cuvier’s and Hegel’s theories, as teleological, regard deformations or mutations in negative terms, as degradations of the organism’s structure and thus functioning as well. But evolutionary theory needs a positive view of aberrations. Geoffrey’s and Deleuze’s theories see variation positively, because variations are considered novel actualizations of the virtual model. Thus Deleuze’s response to the problems of representational theories is better than Hegel’s at least with regard to its application in evolutionary theory. We also see that Deleuze’s three criticism’s hold, because [1] Hegel’s movement is a matter of (infinite) representation, but because it cannot explain novel evolutionary variations, there is no real evolutionary movement involved. [2] Hegel’s structure of the organism has a teleological unity, and so there is a ‘monocentering of circles’ [around the organic unity of the organism.] [3] Hegel’s account is not precise enough. Because it understands the differentiation in the natural world in terms of determinate oppositions, Hegel’s dialectic too strongly divides the world rather than seeing the blurrings of boundary that allow for evolutionary variation.

 

 

 

 

 

 

Somers-Hall, Henry (2012) Hegel, Deleuze, and the Critique of Representation. Dialectics of Negation and Difference. Albany: SUNY.