The Peircean or systems view is that possible difference becomes actual difference as it is regularised by constraining habit. The further category of repetition makes sense once there is sufficient similiarity (in terms of the freedoms that have been suppressed) to talk of the the freedoms that concretely remain in play. What incompossibility weeds out becomes the definite variety that compossibility enforces.
And (tricky ain't it?) this compossible variety is itself dualised into the purposeful and the accidental. There are the acts that are desired by telos - even if it is the dilutest possible form of constraint in the being the second law's desire to entropify. And then there is - by mutual definition - all the other compossibilities that are beneath the notice of any such active law or constraint. I can buy a blue car or a red car. It makes no real difference to anything really.
Anyway, can we make any sense of the Deleuzean project to reduce existence to bare difference? Clearly - as a self-proclaimed inversion of Plato - it as least foregrounds the "other" to constraining sameness. And so it is going to sound Peircean in at least also taking difference or development as fundamental.
SX is hopeless at explaining the actual machinery that might link virtual differencing (this frozen sounding multiplicity) to actual "almost repeating" difference. It is dangerous for him to even to attempt an explanation of course as the whole metaphysic project will immediately unravel. He will start to have to talk about the dichotomous othering that is used to achieve a reductionist monism. And once you start talking openly about dichotomies, well that leads to the inevitable triadicity of a hierarchically organised relation. Holism has arrived and your dreams of monistic finality have just gone up in smoke.
So how do others handle this. I'll look at Todd May's "Gilles Deleuze, Difference, and Science" - www3.nd.edu/~hps/May=Deleuze.doc
We start - as is PoMo convention - with wisdom as paradox. We know we are really being deep when our very words contradict themselves.
...seeking to understand what Deleuze means when he says that “difference is behind everything, but behind difference there is nothing.”
Then fair enough, the issue is to get away from tales of transcendent perfect order to talk about the "imperfect" immanent order that can arise via self-differentiation (and self-integration of course). For Deleuze, this is achieved in Spinozian univocity (noting Peirce was also a big fan of Duns Scotus for the same reason).
What is the significance of embracing the concept of a single substance and thus the univocity of Being? It lies in the abandonment of transcendence. Here we might recall Nietzsche’s critique of transcendence, a critique with which Deleuze is in sympathy. The effect of positing any form of transcendence (of which the transcendence of the Judeo-Christian God would be the prime example) is to set up a tribunal, a judge that is not of this world but that nevertheless evaluates it and always finds it wanting. The transcendent is always the more nearly perfect (or the Perfect itself). It is always pictured as higher, above this world. It is the ideal toward which this world must strive through self-denial but which, because of some inherent flaw—be it the existence of the flesh or the finiteness of its creatures—it can never fully achieve.
Now note two bum notes in this reading of univocity. Already we are lapsing back into substance talk - the ontology of form materially actualised. And we are setting up an illegitimate grounds for rejecting the eternal "other".
Dichotomies are being read as always having to generate a good guy and a bad guy as thesis and antithesis. But it is a bad dichotomy that does that rather than producing two generalities that are of equal (because necessarily complementary) status. Instead of focusing on what makes a good dichotomy (as I do), this is clearing the ground to reject dichotomies in toto.
Then the sensible question...
With the embrace of the univocity of Being, however, two questions arise. First, how is it that the perceived world exists as a manifold of differences in continuous evolution when there is only a single substance that comprises them? How can the univocity of Being be reconciled with the manifoldness of existence? This, of course, is the traditional philosophical question of the One and the Many. The second question, bound to the first one, is,What is the relation between the single substance and the manifold of existence? As Heidegger might put the question, what is the relation between Being and beings?
Yes indeedy. Where is the mechanism that connects? (In Peirceanism, it is semiosis.)
And here the beginnings of a bad answer.
The first question presents no insurmountable conceptual barrier if we jettison the idea that a single substance implies some kind of identity. For Deleuze, the single substance of Spinoza must be conceived not in terms of identity but in terms of difference. Substance, Being in its univocity, is difference itself. “Being is said in a single and same sense of everything of which it is said, but that of which it is said differs: it is said of difference itself.” Difference is behind everything, but behind difference there is nothing. If substance in some sense contains or comprises the differences that manifest themselves in the world, then there is no difficulty reconciling the One and the Many. The One is many; it is difference, difference itself, or, in the later term used in the collaborative works with Guattari, it is multiplicity.
So now we are talking from the point of view of actuality - already formed materiality, or substance.
Yes, it does make sense in the usual Aristotelean fashion in that substance is actuality with attributes and properties. A dog has the characteristics of its species. It has that family resemblance than means it is quite liable to chew your shoes, piss on your fencepost, slobber on your carpet.
But this is metaphyics and the question is how does substantial being itself become? How does it develop as informed or constrained materiality? And therefore, how do we account for the sameness that is form, the difference which is material haecceity?
Peirceanism explains them by putting them at opposite ends of the spectrum. Materiality is brute firstness or potential. Form is the regularity imposed by the seiving necessity of compossibility. Each is placed at sufficient distance from the other for them to have a formally inverse or reciprocal relation. (Remember, form = 1/material, and material = 1/form.)
Anyway, this indicates why SX wants to treat the virtual as itself a species of substance. Which is also then why he cannot in fact explain anything in terms of some actual developmental relation. Difference becomes just a property of a higher level notion of substantial being. Repetition is as repetition does.
Luckily May is alert to these issue. An urgent paradox arises....
For if Being is difference, doesn’t it collapse into beings themselves? If Being is as manifold as the beings that it comprises, doesn’t Being just reduce itself to nothing more than the manifoldness of our particular world?
The day is saved by capitalisation - or dichotomisation that conceals its "othering" by using the same term, just discretely denoting generality by using a big B (while continuing blithely to undermine generality's ontic connection to formal cause by treating Being as already formed Univocal Substance!).
Deleuze denies this reduction, claiming instead that the kind of difference associated with substance or Being is distinct (different) from the kind of differences associated with beings.
Then follows a Bergsonian analysis of time vs space which we can skip as I sort of agree. Let's get on to where there is some attempt to account for an interaction between virtuality of differencing and actual substantial differences.
;)
The relation between the virtual and the actual is, however, very different from that between the possible and the real. As Deleuze uses these terms, the real is the mirror of the possible; it has the same structure as the possible, with the sole but ontologically crucial exception that it is real and not merely possible. So there are two ontological realms, a realm of the possible and a realm of the real. By contrast, the virtual does not lack the reality; it is part of the real. There is only one reality, comprising aspects that are at once virtual and actual. The virtual actualizes itself in order to become actual, but in actualizing itself it does not gain in any reality it had lacked before, nor does it stand outside or behind the actuality that is actualized. It is not part of the actual, but it remains real within the actual.
OK. So does this work, anyone?
The virtual contains the structure that produces difference. Then material difference is what gets actualised.
So far, so Platonic.
But then the virtual is a substance. It "actualises itself". So not only is the virtual the general form or the general structure of difference-generation, it seems to possess its own material means too.
Where I would have a more traditional conception of the virtual as a principle of formal necessity - expressing the telos of the least action principle in interaction with the material restriction that is the complementary principle of generalised compossibility - Deleuze wants simply a tale of a "ground difference" that substantially exists as a generating mechanism (a hopper complete with the materiality to fulfil its desires) and only needs to be turned on so that it starts spitting out actual instances bearing a family resemblance to the originating seed (or - snort - rhizome).
So we see why SX strains so hard to find a generating seed difference in calculus. Materiality is the obvious issue for this Deleuzean scheme (as it is for all metaphysical schemes I agree - even Peirceanism). If you duck into maths - the science of patterns, the conjuring with pure immaterial forms - then you can simply sideline the very issue that your metaphysics must address. You can appear to be speaking about substantial actuality when really - in shifting into the register of the model - you most definitely ain't.
(How does Peirceanism answer the foundational question of materiality or primal action - the question of "why anything?". Well as I say, it doesn't in the final analysis. But it does make it explicit that it is a different kind of question and does not try to subsume in into a substance ontology like SX/Deleuze. Instead, it set it out apophatically - it approaches it via a model of vagueness or firstness.)
OK, so having emphasised some differences, let's look for some reconciliations....
In his discussion of Spinoza, Deleuze utilizes the term “expression” to indicate the relationship between the virtual (substance) and the actual (attributes and modes). In contrast to medieval creationist or emanative theories of causality, in which God is said to cause the beings of this world either by explicit authorship or by emanation, Spinoza holds an expressive view of causality, in which that which is expressed is not ontologically distinct from its expression. Attributes and modes may explicate, involve, and complicate substance, but they do not emerge from it on a distinct ontological plane.
Again, this is utterly wrong (
:) ) from a fully holistic point of view - the synchronic view of a development of regularity out of vagueness. But it is - in Aristotelean hylomorphic fashion - quite reasonable once understood diachronically as a slice across temporal development (so as a slice not across a moment in time, as such, but across the transition from vague to crisp "coming into being").
Once substantial being arises, it can of course host further development in the usual hierarchically complex fashion. Physics - in closing off one set of possibilities or differences, as it does with describing some universal telos like entropification - then itself creates the further possibility of its own counter-action. In the case of life and mind - or even just dissipative structure in general - that reaction is of course negentropy as a counter-telos.
But anyway, this hierarchical logic holds as a generality. It is precisely the system's take of constraints and the further freedoms they can't help but create. In - via compossibility - imposing a limit on free variety, that produces the now far more definitely defined freedoms which can start to do their next level of interacting and habit formation.
So yes. Examine reality at any particular level (look at it either side of some "singularity" or symmetry breaking critical point) and you will find that substantial being is "intrinsically" dual. An object is both a species of a genus (it has attributes due to a context), and it itself possesses further properties or freedoms of actions (as that is why we would indeed distinguish it as a concrete object - it has been transformed into the context for new happenings, or novelties.)
But what do you do when faced with the need to make substantial Being univocally fundamental still....
First, the virtual is not a mirror of the actual, as the real is of the possible. In Difference and Repetition, Deleuze marks this by saying: “We call the determination of the virtual content of an Idea differentiation; we call the actualization of that virtuality into species and distinguished parts differenciation.”
...you quietly change the spelling of the word just a little bit to hide how big an explanatory gap you want your fanboys to vault.
A proper dichotomy is one that openly proclaims the absoluteness of its reciprocal transformations.
If you invert the continuous, you bloodly well get the discrete. You don't just get the discontinuous, let alone the continious, or some other rat-swallowing circumlocution. You get an upfront assertion of a proper categorical difference.
In contrast to the possible/real distinction, the virtual/actual distinction involves three kinds of difference. First, there is the difference in itself of the virtual; second, there are the specific differences of the actualization of the virtual; finally, there is the difference between virtual and actual difference, between differentiation and differenciation.
Oh hold up! Not triadicism to the rescue?
Does this sound like 1) vague difference - the raw possibility, 2) reactive difference - actual particulars now having actual reactions, and 3) habitual difference - the stably broken asymmetry of a hierarchically developed organisation between globalised or general differencing vs localised or particular differences to you?
Well yes indeedy. Got there backwards, but that is now where this line of thought has arrived.
I think we can leave it there for the moment. SX - being the tough samurai kid he is - is probably doing the honorable thing of self-evisceration right about now.