« Posts tagged kant

Critique of Pure Reason

Critique of Pure ReasonCritique of Pure Reason by Immanuel Kant
My rating: 5 of 5 stars

So much has been written about Kant. Yes, he’s hard. He’s rammbly. He’s overbearing. But this is due in part to the fact that written in 1781, Kant did not have anyone to talk with. He lacked the ability to find other minds and interface. So in those ten years of silence he talked to himself. And he’s a bit disorganized.

So lets not quibble with the details. Instead let me cut to the heart of what he is saying, in a way that goes beyond any reading of him that I’ve come across yet.

The one aesthetic Kant is after, that allows him to hit a home run, is simply this: All concepts are regulatory.

What Kant is after is to understand the limits of what our regulatory reason can do. This can’t be a function to decide truth. This can’t be a function to decide reality. This isn’t an effort at wisdom. We can use reason to figure out the contours of contingency, of what is given to us. But we cannot use it alone to do anything.

Kant attempts to show us the value of reason in melding together different functions (be it imaginary or understanding or reason) and in this way seeks to highlight the vehicle by which we can come to grips with phenomenon. So weaknesses?

Yes, Alan Badiou is partially correct: Kant’s system requires that he created a negated structure, the noumenal upon which to hang his phenomenon. But Badiou is also partially incorrect. Kant was the first to recognize, through the figure of the transcendental, the necessity of having an apparatus of measurement upon which to solidify a phenomenal field. That is to say, phenomenon cannot interface at a consistent level unless there was a larger field to unify them as equivalent. Hence, this transcendental. Kant laid out the form for us, to quantize, to organize whatever we apperceptive. Historically, this is how Heidigger is able to note that Kant is Modernism Part II. Descartes introduces the need the for a transcendental field (in the form of the mental realm) but Kant completes his thought. Hegel is the application for this field to surject unto Absolute Knowledge.

So we miss the point when we quibble with his mathematics or his bad physics, or how he didn’t understand quantum mechanics. None of his examples matter in their detail. What matters is the principle behind this critique, one which reveals that concepts are regulatory.

And while it’s true, as Kristeva points out, Kant did not “discover” negation (leave this to Hegel as a way for him to bind according to the dialectical-synthesis process) Kant does reach negativity. Negativity is necessary as the limits for a given concept. And if you look at towards the end of this masterful work, and ignore his annoying repetition, you come to understand the antinomies are but examples of the limits of conceptualization itself.

Yes, Dedekind’s cut of real numbers or Badiou’s theory of points belie the same “cut” as Kant’s antinomies. By injecting reason in at various arbitrary positions, we can cut a dichotomy into a mass to differentiate positions. Such positions then become expressive of the cut, which we use as an absolute reference. This reference allows us to orient ourselves. So yes, when only we do not “extend reason beyond the bounds of experience” can we avoid these antinomies, Kant highlights these antinomies as way of showing how reason provides the extension of any given cut, which are always contingent by arbitrary parameters, be they a sensuous apperception or some inherited folly of the imagination. This section following The Ideal of Pure Reason all the way to the end of the work, gives us the apex of Kant’s reach. He was articulated much, but never brought it back around to exploding the limits of concepts themselves. He could only fumble and say, well, they are regulatory.

Not only are they regulatory but they are necessary for the organization, the quantization into phenomenon, inasmuch as the sensuous, as he calls it, is necessary for logic to take a stance. We need contingency to make a mark somewhere, otherwise we get nothing but pure logical presentation without any place for differentiation into a real context. It is this dual refractory nature that presents us with agential cuts to determine the nature of what is real, a mixture of contingent sensuousness and transcendental formalism. This mixture however, isn’t stable, it belies on the context of previous cuts, usually derived from our human need to have agency in limited domains.

This is the start of post-modern fragmentation of knowledge, as each domain acquires its own organizing cut.

But this is also well beyond the context of where Kant was going.

So if you keep in mind the “regulatory” nature of conceptualization, you’ll come to a fruitation that is far more radical than any reading of Kant that I’ve ever come across. I think you’ll find as well, that this radical negativity, necessary to cut concepts out of the larger folds, is why Deleuze found himself returning to Kant towards the end of his career. In this way Kant is still more radical than most anyone gives him credit for… and in this sense, his admiration for David Hume speaks volumes about where he’s going with this critique. In fact, he exceeds Hume in this way, by abstracting Hume’s explanation of human behavior as conventional habit into the modality of regulatory concepts. Kant finds the limit of reason but in doing so he is able to demonstrate how reason is utilized to supplement understanding beyond the bounds of experience. His four antinomies are but possibilities for unfounded regulations, many of which Hume would simply call “conventions”.

To wrap. I for one, am glad to have Kant as a guide. As staunch and “joyless” as he is, there is a core of clear direction within his thought that allows him to calibrate his awareness to a finely tuned point regardless of content. Kant turns rationality in on itself and is able to note the different vectors within rationality as a manifold, a field of its own connectivity. Kant adds these various example, these vectors together, rotates rationality as a vehicle of deployment and is able to find a navel limit within rationality, negativity on the one hand, sensuous apperception on the other, and the chimera of the transcendental dialectic on the third. This groundwork of pure formalism is the striking aesthetic consistency that belies German philosophy post-Kant, while marking the groundwork for the very abstract structural formalism that is to follow in mathematics and science in the 19th century and beyond. Without having the ability to negate all that does not logically follow, or being able to create limited phenomenon within a transcendental domain, we would not have any technological or mathematical achievements today.

This isn’t to say that Kant should be given credit for this because he “invented” this. Rather, he was simply the first to stake out the parameters for the nature of these kinds of endeavors, endeavors which continue to structure human experience and behavior today. No doubt, if Kant did not do this, then someone else would have formalized this exercise, eventually. Still, to one lonely man in Königsberg, thank you.

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The Anti-Oedipus Papers

The Anti-Oedipus PapersThe Anti-Oedipus Papers by Félix Guattari
My rating: 4 of 5 stars

In anticipation of re-reading Thousand Plateaus I thought I’d tackle this book. As a reader of Deleuze (I’ve read all his books), I always understood the progression of Deleuze’s thoughts with the turn coming after Logic of Sense. Some of Guattari’s books, such as Chaosomos enforced for me his role in bringing to Deleuze a completely different view. It didn’t help that Guattari did not publish nearly as much nor as systematically. But after reading this book, I fully acknowledge the debt to Deleuze that many do not see. Deleuze is often given credit since he is of an institution (of philosophy) but Guattari’s running amok, his ability to abstractly critique different ideas and view them from vastly different zones really hits home with his letters to Deleuze.

I’ve always understood Anti-Oedipus as a failed work in the sense that although they reject a metric by which to organize thought they still in interject a methodology (Marxism) by which to organize meaning. Part of this is due to the extension of their rejection of Lacan and psychoanalysis. By rejecting the normalization that psychoanalysis employs, D&G also end up rejecting all normalisations. In this manner they unwittingly step very close to Kant’s “all concepts are regulatory”. While I fully agree with Kant, I think Deleuze’s love of conception forces him to reject Kant’s systematization of thought on aesthetic grounds. In a way, Deleuze’s work ends up being very close to Kant in aesthetic but very different from Kant in method and content.

Again, reading this book allowed me to see that Guattari really pushed Deleuze, who was already pretty out there, to really refocus on how one should approach the problem of multiple-domain knowledges. There are many gems here, to be found. Various extensions of thought that may have gotten lost in Anti-Oedipus, various and of course, a seemingly lack of coherency on the part of Guattari to systematize a presentation that was not rambling. In a way, what Guattari brings to Deleuze is a grasp of normalicy that should be rejected. Guattari allows Deleuze to understand the effects of concepts outside of conception — the role they play on one another and society. In a way Deleuze already understood the way concepts match one another. He does this frequently, and to an extreme, as with Difference and Repetition. But what he failed to include was the political angle that concepts have on people, on subjectivities and logics of peoplehood.

Obviously this book would never have been published if D&G were not as popular as they are. Obviously this is not a complete work on its own because it references other works that you may not have read, that are not included in this volume. Still, if you like the other stuff, this provides another inflection point so that you can begin to understand what Deleuze and Guattari both brought to the table, and how their co-production was a unique synthesis that was necessarily a combination of their personalities, outlooks and backgrounds.

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Logics of Worlds: Being and Event

Logics of Worlds: Being and Event, 2Logics of Worlds: Being and Event, 2 by Alain Badiou
My rating: 5 of 5 stars

On the onset, Badiou’s materialist dialectic seems fairly obscure. But while he doesn’t speak much about it throughout his book, it becomes clear that his materialist dialectic is predicated on the same kind of formalization that has swept up modernist thought: the creation of formalism in order to express relations in thought.

While you can tell that Badiou doesn’t want to dismiss his previous work, Being and Event in this one he seeks to engage with the non-philosophical more. On this end, while the previous was on ontology this book it seems far more about presentation, or existence. Having sublimated the formalisms of mathematics into philosophical though, Badiou would introduce to us a more specific (and thus generalized) logic on which to understand the various collections and connections we witness in our everyday lives.

This formalism can be understood as the result of the Cartesian method of synthesis. One breaks down a situation into constituent atoms and then patches those atoms back together to come up with a composite world. The various different situations provide little input as to the method of the formalization, although the success of the formalization requires a method of atomization — “chunking”. How we decide to decompose a situation into unchunks will in reverse allow us to assemble them back together.

Part of Badiou’s genius, especially with this previous book to this, the first Being and Event relied on his insight that mathematics at its root was conceptual, not formal (despite how we in post-industrial education are introduced to mathematics, as pure formalism). By grasping the concepts, we can then also understand that mathematics is philosophical in its nature, although it is of a different kind. Math follows the inductive “analytical” side of the method. The missing piece is the synthesis. Much of philosophy post-ancient Greece, had to do with the presentation of the synthesis side. As Irme Lakatos notes, Descates realized their methods, and speculates that their “secrets” had to do with the method of analysis. The synthesis portion was given publicly and that’s why the Euclidean method is nothing but synthesis. We get the conclusions of their philosophy, but not their analysis. The end result of their analysis however, are their axoims. And so that’s what is missing in their method. This is also, incidentally, why mathematics and physics meld together so well. Two dissolve a situation via a formalism and then to patch it back together allows one to continually create new models, new methods of dissolution and then synthesis. The main impetus that arises from this the cherishes “occult hypothesis” by which one is able to grasp the missing “influx” that arranges the atoms and then sets the stage for how these atoms are to be stitched back together. For Newtonians, this occult hypothesis is gravity. The various other “conclusions” that theorists and scientists can come up with are varying but they consist of the “excluded middle”. Slavoj Zizek for example, in Less than Nothing has the occult hypothesis of less than nothing, the theory of two vacuums.

What is perhaps wonderful about Badiou’s approach, as well, is that he sidesteps the traditional jargon that Zizek has to deal with. Badiou can talk about past philosophers, and but Zizek, in order to make his point, MUST. This injection of mathematics is perhaps Badiou’s greatest contribution. It is a great strength as well, for he is able to introduce new relations on their own, rather than having to continually modify language we are already familiar with.

What is weak about Badiou however, is that he adds little content to a situation. His formalism is a tool that can be used to recompose existing worlds and relate them to one another. While he dismisses Kant in this book, he misses Kant’s greater understanding. As stated in his Critique of Pure Reason: mathematics is another synthesis. While math can be used analytically, and often is, its incompleteness in its axoims results from the fact that as a methodological field, math is stitched together through a variety of methods connected by sheer formalism. There is no one conception that rules mathematics in the same way that there is a singular conception that may rule Lacan or Descartes. So while formalism can be method to note new connections, it cannot replace the intuition of thought itself. In fact this is not an explanation what so ever.

Two additional weaknesses to Badiou

1. He critiques Deleuze heavily in claiming that his fourfold thesis is a reversal of Deleuze’s. This misses the point as both he and Deleuze understand that negation is not a rebuke of a logic but rather the emphasis of a missing totality. Badiou’s own method of formalising a transcendental envelope is predicated on the minimum gesture of negation of a missing piece. In fact, Badiou ends his book by noting that the presence of a body (or a grouping of conceptions as a topological family) is wholly subsisted on the missing of a minimum. His other critique — that Deleuze reduces everything into a monotonous elan vital, similiar to Spinoza’s lack of a transcendental distinction of substances and subjectivity is well taken, however.

2. His main value in the conversation is his ability to provide surjection between the domains of math and philosophy. This theory of points (book IV) is a pretty good aesthetic, only missing Dedekind’s cut of real numbers. While his analysis of what points provides to the conversation could have been (and should have been) interjected into his first book for the purpose of clarification, he misses out on providing an internal definition of knowledge even in this following book. One creates knowledge only when one can mark it, that is, surjectively translate it into a point. In fact, Weierstrass’s genius at the end of the 19th century relied on solifying what Descartes started: the overlay of points onto numbers in the form of analytic geometry. This move by 19th century mathematicians following Weierstrass’s reluctant but compelling argument for what eventually comes modern day set theory thus taken as being unequivocally true by Badiou and absorbed into his approach. Now, having explained the value of this formalistic surjection, Badiou misses the fact that the immanence of his theory is useless in itself.

Of course, he realizes this implicitly, but he does not seem to understand, as Karl Marx and Immanuel Kant did, that navigating the interstice is what brings a formalism its value. Kant’s genius lay in realizing the synthetic nature of phenomenon. His transcendental dialectic surpassed the different singular (“logically independent worlds” qua) faculties to give us a method of relating phenomenon together, stitching together a world through the continuance of their parts. Likewise, Marx explains exchange value through the various different use values of products. That the connected use values of these products is what creates value for money, and that different kinds of money are in a way, different kinds of sublimated use values. In his approach here, Badiou continues to wrap different worlds as increasingly complex localizations that appear to one another, but in the process of doing so always presents it within an absolute envelope (m) that is routely defined as the mode by which these different atoms can interrelate and be associated with one another. And while he states early on that there is no Being that covers all being, like there is no Body that can cover all, I do not think he realizes that by sublimating presentation as a formalization within these sets, he at all is able to step outside of the pure multiples themselves and wrap all of being as only that which appears under immanent logic. At the end of this book, he laments the dismissal of concepts, quoting Descartes that mathematics is eternal. And yet, hasn’t he contradicted himself? He defines early on that there is no Being — that it there is no way one envelope can wrap all of the different worlds, and then he defines it through sheer nominalization (m) and then acts as though this nominalization surpasses the physical presentation of the logics of worlds, stating that there are worlds in which we cannot have access to because their presentation is too baroquely different from our own.

This is the same entrapment that thinkers that the great Roger Penrose, or even Richard Dawkins falls into. Their sublime ability to create complex and yet fantasically concise occult hypothesis allows them the decompose and recompose with such sheer mastery that they have forgotten the reality of their own methods. They are hypnotized by their own defined immanence, forgetting that even in this present world there are points that lie outside of the rigor of their own presentations. Badiou follows this routine, coming to the conclusion to speak of the totality of Idea as an absolute shield. Nevermind the fact that such methodology did not exist for all time, and that the formalism of our own knowledge is a fragmentary creation of the conditions of what we accept to be knowledge. If our knowledge is fragmentary it is because we reject the interstices which gives each world of knowledge value, value which exists wholly outside of each field but is understood as immanent to that fields own internal non-sense.

This tact understanding is also Deleuze’s greatest insight which I think exceeds Badiou. Deleuze’s own language: the conceptions of territoriality, plateaus and the like, consist of Deleuze and Guattari’s genius at producing traces (rhizomes) by which different machinic assemblages influence one another. (Un)fortunately, Deleuzean language either leads people to reject it outright as being non-knowledge, as there is no “point” by which one can make heads or tails of it, books which review Deleuze and only write about a few of his concepts as though this is the great aspect that is to be gleamed, or books which abandon Deleuze but are “about” Deleuze and seek to create their own immanence. Badiou’s method does allow for some greater control in adjusting and decomposing with greater control, but I think that Badiou himself misses the larger aesthetic of Deleuze by pursuing too recklessly the desire for validation. On the one hand, Badiou understands that his philosophy only has value if he is able to connect it to real life situations (thus his talking about life and death) but on the other hand, he wishes for the most obscure concepts in order to be recognized with his heros, as a philosopher).

Having gone this far in the review, I do wish to pull back a little and return to the material dialectic. This insight is profound on its own, but Badiou misses stating it explicitly in his text because he is too enamored of his mathematical rigor: this point is simply that all creation of knowledge (analysis and the synthesis) is predicated on procedure. The truth of mathematics as a rigorous activity and the formation of knowledge as points wholly subsists on the exteriority of various groups that are able to formulate their knowledge as a logical consistency of their profession/activity. That is to say, the pure immanence of a specific approach requires the route nullification of external connections in-itself. Worlds become whole when they eschew other worlds, and nullify the influence of exterior factors. This pure modeling becomes all the more valuable when it is connected to a process which then is able to modify one another. Professions like attorneys and architects are gatekeepers to officiated activity, activity which is inflated because of the formalism of capitalism… but that in itself, is to encroach on an entirely different subject.

I gave this book 5 stars because it’s a tight piece of world. It’s flawed for the reasons I point out, but it’s still wellworth the read.

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The Death and Life of Great American Cities

The Death and Life of Great American CitiesThe Death and Life of Great American Cities by Jane Jacobs
My rating: 4 of 5 stars

What Jane Jacobs is really responding to, and criticizing is the spreading of the capital through what John K Galbraith calls the technostructure. Since capitalism’s main drive is technology, as technology reduces cost, affords greater material agency through large capital investments, this is no small subject, although it is a somewhat hidden angle. The megalopolises that exist today are really only possible because of major advances through technology, major investments in infrastructure and major innovations through technological advancement. For this reason, it makes sense that the planners of cities will also invest in the aesthetic of knowledge the technostructure affords us: expression of good design.

Design is really only the highlighting of a particular axis of an independent logical relationship. That is to say, if there are three mutually exclusive choices, their presentation in design as three separate but equatable types is good design. Good design allows us to equalize non-differentials by allowing their containment within logically more important groupings. If we are looking at a series of individuals, it makes sense to present information about these individuals in such a way that highlights through equitable features of however the information is being presented so that these individuals can be arranged to be easily sortable. So that we can make decisions about these individuals. It would make less sense to cram the information together in logically independent relations that have very little to do with our ability to make decisions.

In this sense, much urban design as criticized by Jacobs holds along the axis of decision making for individuals, or at least from the planning perspective, to equate logically independent relationships that have little to do with the ability for common urbanites to make decisions about their environment. For Jacobs, which may be dated these days, urban designers thus, have little understanding of the walkable experiences of urbanities for community building, community strengthening. In short, their knowledge is based more on aesthetically “cold” principles from a bigger view. There’s a good quote from this book: That a region “is an area safely larger than the last one to whose problems we found no solution” In other words, such bureaucracies are too abstract to understand small problems, thus their knowledge and their creation of models is based on these “cold” aesthetically split models that do not demonstrate interactions that stand outside of their modeling. They “average” out too much data, and end up with an impoverished but clear picture that is unsustainable as it is not supported by an exterior topology their model cannot account for.

Galbraith uses the term techostructure in order to denote the melding of planned economies with technologies. This means that administrators and managers need to be able to organize their information according to technologies and functional uses. While regional governments will lag behind the development of new technologies, their division along previous lines of technological influence, their division according to technological functionality will deny the collected effects of their management. Such administrative bodies deny confluence. Early on in the book, Jacob goes to argue that it is in the intermix of diversity, technologies, and mixed uses (where an area is used one way by a population for a time, and then later on, has a different use at a different time) that creates a strong community, enriches its citizens and promotes good economic and social growth.

One of the geniuses of Immanuel Kant and Karl Marx was their recognition that value and phenomenon are created synthetically. This is to say that all topographies are determined by their exterior. As Jacobs notes, communities are generally held around a few key socialites who are able to navigate the interstices of different circles of interest that are geographically aligned by otherwise do not mix. These key individuals carry with them an excess of value since they provide the nexus to which communities and built around and attain cohesion of vision, value and identity. These individuals, like key spaces, be it a park, a mall or otherwise, are not the product of a singular focus, but a mix of logically related cues that deploy individuals together, forcing them to interact, create friendships and build trust.

In a technostructure kind of language we can claim that the very thing any technologically influenced management structure — that relies on the creation and management of specific “expert knowledge” — must necessarily miss the very object they are attempting to manage as a whole. There is department of community, or department of individuals — there is no management of human interaction (socially or economically) as these are the very values that a techostructure wishes to maintain. Rather, this element is destroyed by a technostructure as it is split between departments that have conflicting authority to manage their immanent spheres. The result of this, is understood as chaos as each sphere of influence manages its immanence but in the process of doing so impacts (through the excess of its immanence) other spheres as this influence organizes parts of society that impact other spheres of influence. This excess of planning can only be understood as chaos in reference to the rigorous “planning” of each sphere… what is unplanned is the outside impact.

While Jacobs does not talk about society and cities too much at this abstract a level — her book is more examples of various principles along separate dimension (each chapter is a meditation on each logically independent feature, such as streets, parks, sidewalks, age of buildings, and so on) I think her book would have been more cohesive if it were able to address the issue from a large standpoint of aesthetic philosophical division, as a concept like technostructure would afford. Nonetheless, while dated in some examples, and in use of language, Jacob’s book remains a good marker for the consideration of the interstices that make up society, that any logically independent axis is in fact not truly independent in how that value is created even if we organize it along lines of presentation that appear to be wholly independent. Cities die and grow by chaos, even as this chaos is technologically created through capitalism, forming new social alignments all the while, it is poor understood by existing bodies that use dated models. One wonders how this would have played out should Jacobs had written this in the present age of the internet.

So the 4 stars is really only because she lacks a unifying feature of the book explicitly, even though it is beautifully thought out, and written with rigorous passion. This book is somewhat dated and will be even more so in the near present.

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Transcritique: On Kant and Marx

Transcritique: On Kant and MarxTranscritique: On Kant and Marx by Kojin Karatani
My rating: 5 of 5 stars

Kojin Karatani argues for the formal equivalence of Kant and Marx as for Karatani, both thinkers critique their fields of study (Kant in philosophy and Marx in economics) by positioning themselves in the interstices. For both, all knowledge is a constructive difference, a synthesis of different transcendental fields. For Kant, we have empiricism and metaphysics suspending the transcendental apperception. For Marx, money weaves a field from which surplus value can perpetuate capitalism through the extension of merchant capital. This reading relies on the understanding that different spheres of money, different cultural, geological, economic and semiotic values allow merchant capital to attain surplus value through what is basically arbitration. Karatani then expands on Marx, applying him in various ways up to the current consumerist state. This reading by itself isn’t enough — Karatani emphasizes that such disparate spheres are created through the metaphoric union of the capitalist-nation-state. Much of Karatani’s chapters on Marx are devoted to arguing for this articulation while correcting much simpler readings of Marx as perpetuated by Engels. Of course, Marx and Kant are both difficult thinkers to read. Kant is notoriously erudite, and Marx is notoriously long winded. Yet Karatani manages them both, along with various supporting thinkers and their various positions, to illuminate Marx and Kant while maintaining a slender volume just over 300 pages in text.

I highly recommend this book. This is my second time reading it. The first time, I was a little lost, better read on Kant but not very well read on Marx. This time around, about ten years later, I ate this book up. Karatani proves to be a close reader while being a precise reader, a difficult task. He brings up details when details are needed and illustrates broad topics when overviews are to be given. If I were to characterize his approach of transcritique, it is less about utopia (both Kant and Marx are prone to be understood as utopic thinkers) and more about understanding the context by which the logic of their fields of study are arranged. Marx did so in his volume 3 of capital, understanding the state’s irrational role in supporting and promoting capital in relation to other states. This is much like how Kant, according to Karatani, in his 3rd critique moved forward to speak of a “plural subjectivity” often thought of as his thoughts on aesthetics.

It’s strange that Marx and Kant can be read against one another with such similar structures.

In a way, I wish for Karatani to have included at least a conclusion, to tie both of these guys together, as he did so in the beginning. What have we to gain from this methodology of transcritique? It’s true that his last chapter on Marx moves forward to provide alternatives and reasons as to why capitalism should not be allowed to persist, and why it will inevitably fail. Still, he leaves this methodological approach behind, and the first third of his book (on Kant) without mention in the conclusion. His big take on bracketing as being necessary for knowledge leaves me wondering — what does this method of transcritique bracket, and where are Karatani’s antinomies? What assumptions does he see himself making? Technology for Karatani is in pure service of capitalism’s ability to create organic unity in production and capital as well as the creation of new temporary values in the form of lifestyles. He brackets the possibility for technology to create relations outside of the 4 social relations as he espoused by Marx.

In a way though, this book could stand a third section, one on information, knowledge and money together. This section would combine these two points and statistic a new domain of examination, namely that of the internet… with bitcoin and the like. Coming out in 2003, it’s surprising that only 10 years later, transcritique could stand to be updated in this way. Technology has surly surpassed our ability to grasp what we are doing as it extends much more quickly how we can do it.

Still, a great book. It’s amazing how little Marxists, even staunch communists, have read of Marx. They get too caught up trying to solve the problems of capital that they don’t seem to appreciate or understand what capital is, and how it allows for much more than just problems. If you’re on the fence about this book I would recommend reading it. Nearly every page has something worth taking away from, and that means you probably have to reserve two hours to read 50 pages. The time is well spent.

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Where Mathematics Come From: How the Embodied Mind Brings Mathematics into Being

Where Mathematics Come From: How the Embodied Mind Brings Mathematics into BeingWhere Mathematics Come From: How the Embodied Mind Brings Mathematics into Being by George Lakoff
My rating: 5 of 5 stars

Cognitive linguistics has at its underlying aesthetic the very literal understanding that how we think of things is what they are. This follows post-structural rhetoricians like Paul Ricoeur who argue that the connective tissue of language is metaphor — where metaphor is the substantiation of the naked copula form is through content. We forget the form of the copula in metaphors and thus experience the content as a variation of the copula form instead of being the actual connection. In other words we understand our world through representations, never understanding that an ontologically reified point of view is only possible because metaphors position the copula through its latent content so that the form of the copula becomes seen as the “ding as such”. In other words, representations only appear to be representations because one of the formal representations comes to represent nothing but the pure presence of its own linguistic connectivity.

Having said this, I was surprised (but also not surprised) by the comments below. Many people were confused by this book, blaming either the psychologists for not living up to their expectations (of not being neurologists), or blaming the thickness of the mathematical concepts presented. We often think of the pure formalism of math as being objectively isometric (as one reviewer said) to the proposition that reality is always present beneath our representations. One key connection that Lakoff and Nunez being up repeatedly is that many mathematical formalisms (such as zero, negative numbers, complex numbers, limits, and so on) were not accepted even long after their calculatory prowess was proven effectual… what made these concepts acceptable wasn’t their caculatory significance, but rather their introduction to the cannon of mathematical concepts via metaphoric agency. For instance, we take zero for granted as being “real” even though we understand it to not be a true number. It only was after a new metaphoric concept was presented for zero to be sensible (numbers as containers and origin on a path) was then zero incorporated into the cannon of what was acceptable. This understanding proves to be the very “twist” needed for Lakoff and Nunez to write this book. While many of the concepts are perhaps difficult for some of us non-mathematicians to grasp, I found their presentation to be concise and illuminating. Their tabulatory presentation of metaphors side by side allow us to grasp the mapping of logically independent factors from one domain into another. This basic movement is in fact a methodology they may have picked up from analytic geometry as invented by Rene Descartes: the translation of continuums into discrete points.

While it is understandable that they trace the building of conceptual metaphors via simple to the more complex, I did find their delay of speaking of analytic geometric to be confusing. When a topic is presented I want it to be explained, rather than having to wait half a book to read on it again. This is really my only possible complaint.

Overall, this book helped me connect the observation of formalism being prevalent as an organizing feature of pretty much all procedure and knowledge formation today with the root of that formalization, being the atomization of discrete epistemes of knowledge, whether that knowledge is granular or point or vector, or some other kind of rigor. We can also thus understand mathematics as being synthetic, contrary to what most philosophers in the west (excluding the great Immanuel Kant, Alain Badiou and Gilles Deleuze) understood.

Today, through our rockstar mathematicians and physicists we revisit the old Platonic hat that math is somehow natural, only apparent in our minds and yet more real than anything else this world has to offer. This is a troubling and definitely cold and etymologically naive sentiment. It’s mysterious that anything in this world is the way that is, let alone consistent as though following laws, but that isn’t any reason to be hypnotized by our own intellectual conceptions. As Lakoff and Nunez point out, while some math is applicable in the physical world most conceptual math remains beyond application of the physical world, as there is no physical correlation with those domains. Such application may be possible in alternate universes, but such universes remain the sole conception of our mind.

In other words, how we think of something is what we understand it to be, that is true, but it’s also how we experience what we understand to be to be what it is. To get into that deeper thought requires an unpacking of the most erudite philosophical concept of all — that of the number One, arguably the only number there ever has been and in fact the only thing there has ever been. Understandably this is beyond the scope of mathematics itself, or at least beyond the tenants of what most mathematicians are willing to go. I don’t want to belabor the point here, but I will state that the case study at the back of the book is quite compelling. If Euler’s equation may work in formal procedure alone, but as Lakoff and Nunez point out, the construction of that equation is only possible through the discrete projections of layered metaphors to understand equivalence of conception regardless of the different construction domains these metaphors originate from (logarithms vs trigonometry, vs Cartesian rotation vs complex numbers)… ultimately a unity is made possible because such closure is driven by the singular domain of our minds. In our minds, with their ornate metaphors, their clearly trained disciplines and their innate mechanisms of spacial orientation, we are able to combine complex concepts into the most brilliant of abstractions.

As such this book may be too difficult for most of us to read, because it requires we re-orient our thinking along different parameters, different assumptions about who we are and what we are doing when we study and create math. This probably won’t jive with most people, as it seems for most people, knowledge is less about reworking what they already know into a new arrangement, and more about filling in gaps in the arrangements they already have.

I’m not saying that this cognitive linguistic approach is equivocally true, I’m saying that truth is more than how we arrange something, but the entire range of what we can conceive of to be a relation that brings to light new connections. In the end, I think for most of us, the only legitimatizer of reason remains one’s singular emotions, of what feels to be acceptable. To get around this, requires the most stern of discipline and the most unabashed eagerness to learn something new. This is also a reminder that math is not formal procedure as we learned long division in our elementary grades. Rather, math is the unabashed conceptualization of formal arrangements in their absolute complexity. In this way, even understanding how highly educated mathematicians think of math is illuminating to how you and I can understand something (ourselves and the universe) in new light. That alone is worth reading this book.

So do read this book because it’s beautiful, but also read this book because it’s another way of considering something you already think you know. After all, learning isn’t a matter of facts. Facts are boring; the world is full of facts we can never memorize (such as where your car was on such and such date and time. Kind of useless, except in special cases, such as in the immediate). Learning is the mastery of how to conceptualize, how to arrange information and how to further that arrangement through metaphor of what is.

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Religion within the Limits of Reason Alone

Religion within the Limits of Reason AloneReligion within the Limits of Reason Alone by Immanuel Kant
My rating: 4 of 5 stars

In his late age, Kant presents a final last word on religion, as seen from his phenomenonal system. It’s kind of amazing that even though he was an old man when he wrote this, the church didn’t try and kill him after he wrote it.

Despite his many pleas that he isn’t writing about scripture, that this is best left to the experts in church, and he only uses this as an example for philosophy, Kant ends up writing a very damning view indeed on how religion fits in with everything else he’s already written about; ethics, subjectivity to name two subject areas.

Kant basically proposes that reason itself is insufficient to account for religion. That God and ethics are beyond reason, although reason itself plays an important part in constituting the right path to religion. While he can’t find any real natural state of man internally that is the root of good or evil, because man has free will, Kant does admittedly find that man can be evil if he chooses to be swayed by the opinions of others, to follow a sensuous path, to satisfy his own animal desires, or if he chooses to have dominion over others. In fact, Kant basically finds all forms of contingency to be evil; all ways of man to limit his focus to things in the here and now, the earthly pleasures, to be sure, but also in terms of religious rituals, in what he calls “historical faith”… that time tested ways of being faithful can be ways in which the very hierarchy of a religion can be antithetical to what ethics and morality is about.

When Kant talks about the role of the state, he means that we need an overarching state (of Being) in order to unify us, so we can be good neighbors. This seems right and fair. This primarily second point of view on us, the small other, is a way in which we can get along with one another. And yet this is not enough. He introduces a 3rd point of view, that is, religion, because we need universal principles that can objectively tell us where the boundaries of our relationship with our neighbors lie. That is to say, it’s not enough for people to negotiate the boundaries of their own social interaction, people need a third position, one that supercedes the second point of view (but does not limit it or replace it) in order to have a true ethics. This point of view is religion itself.

What’s interesting about this book is that Kant is speaking about something beyond the boundaries of what he can speak about. The limits of reason on religion is that reason itself can only service religion, it cannot define it. Instead, Kant uses this tool of reason to demonstrate (conclusively or not, up to you) how corrupt our faith can get, how “beside the point” everything can be. If God and religion are beyond us, and that’s something that seems obvious, then we can only adhere to the strictest purest point of worship, to follow the guidance of religion for its own sake. He says this pretty clearly… and it may as well be from the Bhagavad Gita: 1) do your duty (with no thought of the fruits of labor) and 2) love everyone else as your self…

With this, he lists false conclusions that corrupt these two principles. For instance, while reason is instrumental to sorting out sensuous (visible) distractions, reason itself cannot run the show, for it cannot replace the binding that religion and God can afford us, to each of us individually, and to all of us collectively.

In this sense, this book is built on the same principles of intangible, inexpressibles such as his Critiques are; understanding which cannot be expressed but through the sensuous, for example. Or the legislative law of desire, which also cannot be expressed but through the sensuous. In each, but especially here, Kant seems to say that the way to have a taste of the completeness of Being lies solely in reasoning that directs us towards a sublime. Like as in Critique of Judgement, we turn our attention outwards, towards a position in the suprasensible that cannot be felt through ecclesiastical faith, unlimited and non-contingent (unlike historical doctrine).

If anything this makes Kant a kind of neo-Plato.

Overall I thought the book was well written (or at least also, well translated). In particular, Kant writes these long sentences because he’s being very particular. He needs to outline what that particularity is, so he asks that we keep one thought in our head, while he detours it with examples, and asides. Then, we can return to the idea that has transgressed itself, and continue on (Hegel does this in extreme). So if you can get used to his unadorned language, his lengthy sentences and his complex but very specific thought, you’ll find that this book isn’t so hard to read. Kant is thorough too. He has a slight sense of humor but its always in service of this dogmatic reason, getting to the edge of what can be thought. This time, to bring us to the font of religion itself, right on God’s doorstep.

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Less Than Nothing: Hegel and the Shadow of Dialectical Materialism

Less Than Nothing: Hegel and the Shadow of Dialectical MaterialismLess Than Nothing: Hegel and the Shadow of Dialectical Materialism by Slavoj Žižek
My rating: 5 of 5 stars

What is “less than nothing” is what is lost in order to maintain the relationship between subject and object. This nothing sustains the dialectic, but it’s also the ground that is synthesized in Hegel’s dialectical project. But really, this nothing is also the “form” by which phenomenon is understood. That is to say, coming from Kant, understanding or the law of desire is the pure nothingness that imposes the order we see in the chaotic world.

It’s actually pretty simple. The universal, the a priori, is the emptiness that is lost in understanding the Real. This is because we can’t apprehend understanding directly; we can only see it through the empirical world. The closest we get to understanding itself, so to speak, is the petit object a, the pure signifier that is its own lack necessarily: without this particle of necessary being we wouldn’t be able to see being in the world at all. As Zizek says, for Heidigger, we wouldn’t have Sein without Das Sein.

Zizek goes to great lengths to demonstrate the post-structural condition: that how we read comes before what we read. Borrowing from Karen Barad, we can separate how we read from what we read, because we can use how we read to discover what we read — or we can use what we read to discover how we read – but we cannot discover their entanglement, that is the border between the two. To paraphrase him, in order to find out how the two go together, we need to realign the objects so that we, the viewing apparatus and the object in question, are tested against a third thing…which is impossible. There is no third point of view, in the theory of relativity. Results always come from the position of the viewing apparatus, as it cannot be outside itself. Philosophically, there’s no third view either. We may try to step out of this understanding, out of the metaphysician’s realm, but all attempts to determine the root of discourse find themselves mired in the failure to fully explain the framing of that discourse. To put it another way, Zizek notes that antiphilosophy is at the heart of philosophy. With each failure to explain antiphilosophy, we get more philosophy. With this line of reasoning, Zizek, as usual, goes through a huge nest of thinkers to demonstrate how their different philosophies circumambulate various centers of discourse:

The basic motif of antiphilosophy is the assertion of a pure presence (the Real Life of society for Marx, Existence for Kierkegaard, Will for Schopenhauer and Nietzsche, etc.) irreducible to and excessive with regard to the network of philosophical concepts or representations. [. . .] The great theme of post-Hegelian antiphilosophy is the excess of the pre-conceptual productivity of Presence over its representation: representation is reduced to the “mirror of representation,” which reflects in a distorted way its productive ground (841).

Of course, Zizek wants to say that Hegel was the first to reach this irreducible ground, as the synthesis of consciousness – and he traces this through a variety of manners that is both entertaining and enlightening. But Barad’s point remains; whatever language Zizek adopts, we see the mysterious Presence continually being shuffled from point to point, which reduces all discourse to a manner of tautology:

The mistake resides in the fact that the limit pertaining to the form itself (to the categories used) is misperceived as a contingent empirical limitation. In the case of cognitivism: it is not that we already have the categorical apparatus necessary to explain consciousness (neuronal process, etc), and our failure to have yet done so pertains only to the empirical limitation of our knowing the relevant facts about the brain; the true limitation lies in the very form of our knowledge, in the very categorical apparatus we are using. In other words, the gap between the form of knowledge and its empirical limitation is inscribed in this form itself (284).

So while we understand the mysterious Real though our a priori categories, these categories give us an incomplete view. In order to mirror ourselves with the exterior, to be “appropriate” to reality, we create a standing social order, a consistency within discourses (or many discourses themselves) each of which approach the mystery of the world from another angle. These discourses are always defractions, which are in themselves incomplete, hinging on one another but only shuffling pure Presence about. Spoken through Fichte: this absence can be expressed as antoss, or as Lacan liked to say about the Self: “I think where I am not.” This can be unpacked to mean that the self is simply what mediates itself. In this way, Hegel remains for Zizek the genius that first notices how what we read is how we read:

In this sense, it is meaningless to call Hegel’s philosophy “absolute idealism”: his point is precisely that there is no need for a Third element, the medium or Ground beyond subject and object-substance. We start with objectivity, and the subject is nothing but the self-meditation of objectivity (144, original italics).

Unpacking this thought, lets realize that not only is the self “less than nothing” but “less than nothing” is also the pure Presence mediating the discourse itself. We get the symbolic reality through the loss of pure Presence. Its lack allows us to read through it to get discursive reality as a full blown immersive social environment of culture.

I rather enjoyed this lengthy and inspired book. To be brief, Zizek does philosophy to hide the fact that philosophy no longer works, that in Heidegger’s language, philosophy has been suspended while capitalism contemplates itself. In this sense, capitalism tries to say what reason cannot (in this sense, capitalism occupies the same position as Art for Kant, that of a second nature). No wonder then that Zizek says philosophy stopped with Hegel, that the many guises of Hegel are in fact not-Hegel or a stunted Hegel so that we can continue on with postmodernism, with the avant garde, because we haven’t learned Hegel yet… so we hide him away while we continue on in endless jouissance. So to cut to the chase:

In every discourse, in every sense-making, we either sacrifice completeness or we sacrifice contingency. Master discourses (like that of Gods) generally sacrifice contingency to create completeness, to wrap us in universals, to guarantee the universe be stable for us to live in. But in all of these cases (and you can go on ad infinitum), you will end up asking, why is there necessity? As in is there a “necessity particle” that makes existence be (as existence itself is without cause)? Why are things even necessary? Is there pure being somewhere? Zizek’s answer is to locate the split of symbolic reality (necessity) and the Real together within the subject, that only through a split subject do we get contingency as the only necessity. Our ability to understand is then only supplemented through both Reason and an encounter with the Real that stands in to verify the completeness of discursive truth. For Zizek the subject’s being split is another way of saying that necessary to subjectivity is the provision of what needs to be included within its view, of what cannot be compromised. Zizek provides the example where some Christians replied to Darwinism by insisting that the world was 4,000 years old, that fossils were placed in the Earth to test faith. Zizek doesn’t believe this to be true but he cites this example to show that the “grain of truth” in the Christian example is their

impossible-Real objectal counter-part which never positively existed in reality – it emerges through its loss, it is directly created as a fossil. [T]he exclusion of this object is consistitutive of the appearance of reality: since reality (not the Real) is correlative to the subject, it can only constitute itself through the withdrawal from it of the object which “is” the subject [. . .] What breaks up the self-closure of transcendental correlation is thus not the transcendent reality that eludes the subject’s grasp, but the inaccessibility of the object that “is” the subject itself. This is the true “fossil,” the bone that is the spirit, to paraphrase Hegel, and this object is not simply the full objective reality of the subject [. . .] but the non-corporeal, fantasmatic lamella. (645).

This is another way of encountering the symbolic Real, the meaningless floating signifier that would guarantee completeness, that is the subject in its actualization. Be this ontology, money, or joy, fear, anxiety, love, mana or luck, such signifiers often allow discourse to hinge on these terms in order for that discourse to continue to be relevant, a kind of antiphilosophy in the heart of philosophy or antilaw at the heart of law. Zizek writes

Every signifying field thus has to be “sutured” by a supplementary zero-signifier, a “zero symbolic value, that is, a sign marking the necessity of a supplementary symbolic content over and above that which the signified already contains.” This signifier is “a symbol in its pure state”: lacking any determinate meaning, it stands for the presence of meaning and such in contrast to its absence, in a further dialectical twist, the mode of appearance of this supplementary signifier which stands for meaning as such is non-sense [. . .]. Notions like mana thus “represent nothing more or less that floating signifier which is the disability of all finite thought. (585, original italics).

So is there any way to get out? The only meaningful answer is no, as to escape pure Presence is to fall into non-sense, or at least a difference sense that is non-sense from where we current are. Even attempt to transgress the limits of the law end up invoking the law in its transgressed form, simply because those forms are how we understand. This is how the Real becomes mirrored within the symbolic as the pure form of the symbolic. The symbolic Real, which is what Zizek would call meaningless encodings necessary to moor our consistency (our discourse, so to speak), operates through the contingencies qua Real, a maneuver of the subject to mediate itself and actualize.

At this point, to recognize a new thing, like a new world order, or a solution from our capitalist dilemma, means coming to new coordinates, a new phenomenon, a new axis. Zizek locates this between drive and reason, to have the two come together. You can read this like the unification of money with language, but he leaves it open, because after all, these are metaphysical terms. Directly speaking, such terms are always beyond our understanding, lacking substance, even as they are always within the area delineated by our pure understanding, but completely impotent to interrupt our world and realign it. All we need is the right content to come along, the right void to allow us to rename it, and recognize it as the new event, in the language of Nietzsche, “the eternal return.” With that, we could have a new epoch, a new pure Presence emerging from nothingness itself, and that new Presence would be a new world order, a new symbolic Real to realign our world, to remake our world. Compared to anything in or current state it would be more than anything, a new nothing from which there would never be any possibility of return as we would irreparably be someone else.

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Kant’s Critical Philosophy: The Doctrine of the Faculties

Kant's Critical Philosophy: The Doctrine of the FacultiesKant’s Critical Philosophy: The Doctrine of the Faculties by Gilles Deleuze
My rating: 5 of 5 stars

Deleuze is perhaps the best reader of texts that I know of. In this short work, he presents the immanent critique hidden within Kant’s philosophical product.

In doing so, Deleuze shows both how Kant is not a rationalist or an empiricist, and how Kant is the anti-philosopher. Although Kant today is considered to be the epitome of modern philosophers, at that time Kant sought to break through the limits of Descartes’ subjectivity to achieve a deeper understanding of the human condition one not founded on false or speculative reasoning.

As Deleuze points out, Kant’s methodology works in this way by highlighting the structural points of inflection within his philosophy. These structural features exist immanent within each of the conditions Kant outlines within empirical reason — ultimately to exist as a faculty that stands on its own. In other words, Kant notices what is the same within each relation despite empirical difference. Each of the three domains of experience (feeling, desiring and knowing) balance out the others to provide the higher immanent vehicles that together legislate human balance (judgement, understanding and reason). As Kant analyzes types of experiences encountered within empirical reason, Deleuze shows how Kant points to the suprasensible as the beyond that grounds Kant’s philosophy (and humanity) as being that is both good and moral in the face of Law immanent within transcendental reasoning.

What makes Kant so difficult to approach is his rejection of speculative reason. Bad philosophy has a habit of legislating positions as filters for experience, using a top-down approach to the field of experience. Kant sticks strictly to the thinnest difference within each domain, using the form of language to describe immanent relations of their predicates within itself… in a sense noting the universal form inherent within each field as the criteria for what a faculty is, what is an immanent vehicle within human processing. In other words, Kant finds the universal arising within our navigation and arrangement of phenomena as a spontaneous law grounded within our consciousness, what is the same no matter what, and how those samenesses inter-relate.

The point of all this is to show the reason for reason, to show how the structure of reason itself from the immanent faculties that operate as transcendental reason becomes its own reason, the accord of which reveals for us our place in the world. We are made to be reasonable, and our reasonableness itself is what provides the grounds for our existence, and the meaning of our existence, which Kant insists is the natural product of our natural and good synthesis with nature… not for the goal of fulfilling instinct/nature but for incorporating the beyond, a limit we ourselves cannot understand:

When imagination is confronted with its limit by something which goes beyond it in all respects it goes beyond its own limit itself, admittedly in a negative fashion, by representing to itself the inaccessibility of the rational Idea, and by making this very inaccessibility something which is present in sensible nature.

For through the imagination, no doubt, finds nothing beyond the sensible world to which it can lay hold, still this thrusting aside of the sensible barriers gives it a feeling of being unbounded; and that removal is thus a presentation of the infinite. As such it can never be anything more than a negative presentation – but still it expands the soul.

Deleuze does all this in this breathtakingly short book. Deleuze places Kantian desire as the organizing feature, in the synthesis of feeling, rationality and understanding within the free ‘accord’ of the faculties and how pure relation forms the immanent critique of human experience; bringing to light the clear synthesis of the transcendental method and the three faculties… and in this sense, conjoins with Deleuze’s own readings of philosophers, as Deleuze can rightly be said to be a philosopher who only practices immanent critiques.

The only thought I have; what I wished Deleuze focused on as well, was Kant’s question of freedom. Towards the end of his life, Kant had an answer, an undesirable answer to how our freedom comes about, one which tortured him in his last days. This issue, was not brought up. But perhaps this was because Kant never wrote a specific work to outline this issue.

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on nil

(from twitter)

what’s odd about nothing is that there are 3 kinds of nothing: 1.absence of anything, 2.absence of change and 3.absence of a particular x.

in programming terms, this analogizes to 1. null, 2. loops and 3. zero.

what’s further odd about zero is that in languages like php, zero can be the value zero, empty, null or one.  this 0 = 1 is a 4th kind of zero.

i think this overlap has to do with either specific content, the context of expression or the structure of expression —

all of which may be nil.

the most basic nil is in the structure of expression — which is the kantian negativity. context of expression is hegelian negation (zizek)

and of course specific content is what we are most familiar with and deal with everyday. in culture finding the hegelian negation is akin

to finding the “species which is its own genus” as zizek says, the primary case. something i think south park keeps trying to hit.

of course that’s also philosophy’s goal too, to explicate the zero point of structure, find the root of being all that jazz.

the purest case with the simpliest move. we can always tailor our structure to support other items “a priori”, in theory.

 

Zeros in numbers are a purely expressive entity but as such refers to what would otherwise be uncaptured substance.

Saying that is like making digital analogue. An mp3 recorded on vinyl.

The inexpressible is expressible by virtue of the concept of the negative, by voids in expressive structure.

This is not to confuse a deployed camera’s negation with the negativity of blackness on a movie screen.

Where hegel abuts universality in force is like law taking onto account violations by being more strict than necessary.

Or like good design swallowing common human error.

This is what theoloticians may mean by taking about human freewill made compossible with god’s supreme will VIA Jesus, god as man.

 

(post-twitter)

god’s will must encompass everything, including that which is free of god.

that’s where determinism and freewill intermix, in a figure like jesus.  jesus acts as the central binding agent on the way to universality, as petit objet a, the stain of god on man, a stand in for the subjectivity/godhood.

but if jesus is the stand in, and jesus is negative, how can god be negative?  not just in terms of not-man and not-god but also as zero qua one (as stated above).

what’s particularly interesting in this is that in the fullest level beyond universality, hegel still insists on the emptiness of the notion beyond the traditional readings of dialectics.

in a very real way, negation for hegelian dialectics is necessary — one can’t have universality without taking into account that which is not explicated.

joan copjec in her brilliant essay ‘body as viewing instrument or the strut of vision’ takes heed of this when she explains how renaissance painting isn’t simply a field.  the field from the subject projects an idealized viewing point just behind the head of a viewer situated squarely before the painting.  the ‘final’ negative acts as the last suture, by taking into account that final kernel of understanding — rooted from the subject.

this brings us beyond negation into universality — but the step beyond negation qua universality is to consider the totality itself as self-determining — that Emptiness is Godhood itself which can only be expressed as the zero-sum of structure.

once again, we find ourselves enwrapped in a kantian lock-box of phenomenon — only this time there isn’t a noumenality by which we cannot know, for the noumenal is included as part of the structure itself like how phenomenon is structured.

if anything, at this point we’ve aligned the first three nils on one another: content, expression and structure like an empty structured database, or a spread sheet or pivot table without data, devoid of content.  virtually there but inexpressed.  what we’ve ended with is the last kind of zero, where it acts in a higher level as one.

this is simply because while one is a totality when viewed from the outside –from a position of immanence, one is needed as zero to establish metaphysics of presence, marking a structural change from pure absence to a structured presence.  in terms of programming, a zero is already one bit.  a nothing wouldn’t even show up and cannot be considered.

an interesting consequence of this concept of zeroth-ing is to understand that subjectivity itself is the zero point sum, the empty category that establishes the modal structure of renaissance order.  this seems to suggest that we understand others as a consequence of our own singularity.

but this grasp of subjectivity as zero misses the point, for we have a totality as one in subjectivity already.

so where is the nil point that is pre-subject?

copjec talks of the gaze as the field that cleaves and binds; for if the subject is us, what does our presence guarantee?  how does being one equate to being zero?  it is in the consequences of getting to be one that we already assume a zero — in Lacanian language it is the Other that bounces off subjectivity in so as subjectivity requires others.  what copjec calls the gaze guarantees both subject and object and acts as the originary marking place.  they are dual views of the same situation.

therein lies the structural difference by which noumenal and phenomenal are cleaved, inexplicable but also nil.  the ground of being separate must be established before being can be, a crux of psychoanalysis from motherandchild to i and you.  in each point epistemologically, we must have the empty container-notion which can contain it all, and is rightly not anything.  The set of all sets is not really a set, it is the empty set par excellence.