Showing posts with label split-self. Show all posts
Showing posts with label split-self. Show all posts

7 Sept 2010

The Function of Cesurae. Review and philosophical application of Edwards & Penney's Calculus, Algebraic Functions, in Section 1.3

presentation of Edwards & Penney's work, by Corry Shores

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Edwards & Penney's Calculus is an incredibly-impressive, comprehensive, and understandable book. I highly recommend it.

[Your author is not a mathematician, he's just an admirer of Edwards & Penney's book. Please consult the text to be certain about anything in the summary below.]

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The Function of Cesurae



Review and philosophical application of
Edwards & Penney's
Calculus
Algebraic Functions
in
Section 1: Functions, Graphs, and Models
Subsection 3: Polynomials and Algebraic Functions



What do algebraic functions have to do with you?

During our experiences, we might feel that our decisions, or the events affecting us or happening around us, are tending in a certain direction. So we feel the pull or push that lends to how things carry-onward. Yet sometimes we make what feels like an absolutely spontaneous decision. At that moment, it is as though we are not in the process of going some specific direction, but that rather we are in a state of suspension, where anything can happen next. And yet, looking back, we see that the moment of spontaneity followed other moments, and came before those happening after. So there is continuity in how we experienced the successions of moments, and yet there was a moment where there were no tendencies, at least no clear ones or unambiguous ones. Algebraic functions are like this. Later we will see how calculus differentiation can be seen as determining the quantities of these tendencies-toward-change. An algebraic function would serve to illustrate an instance when there is continuity at a place where there is also a break (or a cesura) in there being tendencies. We could relate this as well to what Hölderlin says about Oedipus (See his remarks on Oedipus and Antigone, and Beaufret's commentary on these remarks.) Oedipus learns that he is the wanted accursed criminal, despite at first having every reason to believe otherwise. This brings him down into an absolutely deep internal reflection upon himself, which reveals himself to be different from himself. So there is a cesura or break within his selfhood. As well, there is a break in the rhythmic flow of the drama, where the pace is found to be different before and after that moment. So there is continuity in the flow of events, but a break (cesura) in the rhythmic pace. This is also a moment when time is emptied of its contents. Normally tragic characters follow a divinely dictated fate where the end of their life story 'rhymes' with how it begins, usually with such terrible crimes punished by violent death. Oedipus does not die then. It is as though the gods ceased filling his life with a fated direction. So for him, the tendencies he normally felt pushing and pulling his life's progress were in that moment suspended. There was no content to time. It was the pure and empty form of time, that emptiness that events secondarily fill. So for Oedipus, there was a continuity in the carrying-onward of the events. However, there was a break or cesura in the tendencies of development. We will visualize this with the graph for an algebraic function. Consider the one Edwards & Penney give:

Try thinking of the line as if there is movement from left-to-right. On both sides of the y axis, the line is tending a certain direction. But at the limit at 0, the motion is not tending anywhere. It seems miraculously to have turned-out to go a whole new direction, seemingly unannounced prior to the change. This suspension of tendencies in its motion will illustrate for us the continuity without tendency that we see in spontaneous decisions and in moments when we are driven so deep into our fractured selves that we are in a moment where we are not in a time that is headed somewhere, but rather in an experience of the pure empty formal condition of time.


Brief summary

Algebraic functions are power functions modified by algebraic operations. Their graphs might have corners or cusps. Although the function may be differentiable in all other places, it is not so at a cusp.


Points Relative to Deleuze
[Under Ongoing Revision]

Deleuze discuses 'the dice throw' of Nietzsche. We might consider the 'cusp' of an algebraic function's graph to be like such a point where the tendencies-toward-change are not there determined. Deleuze also makes use of Hölderlin's idea of the cesura when associating the split-self with the empty form of time. Again, algebraic functions can be thought to illustrate the cesura. This will be more evident when later we clarify ways Deleuze's work with calculus can help us understand certain other ideas of his that do not seem at first to have any relation at all to mathematics, like selfhood, freedom, and affection.


Edwards & Penney
Section 1.3
Algebraic Functions

We will discuss algebraic functions. Recall the 'function machine'.

A function is like a machine that takes-in a number from one set of numbers, and gives-out another number from another set of numbers. Consider the squaring function.

When we put the number 2 into the machine, it gives out 4.

One type of function is a power function. These have exponents, so they take the form:
f (x) = xk (where k is a constant)

Algebraic functions have formulas that we can construct by beginning with a power function, and then applying certain algebraic operations, such as:
Addition
Subtraction
Multiplication by a real number
Multiplication
Division, and/or
Root-taking
Polynomials and rational functions, then, would fit this description. One difference between these and algebraic functions is that algebraic functions may have a limited domain. Consider these examples:

Another interesting difference is this: The graphs for polynomial and rational functions have a smoothness to them, even as they change direction. However, graphs for algebraic functions can have parts that are not smooth; we might call them 'corners' or 'cusps'. Consider for example these:

Edwards and Penny write that we will discuss more what a smooth graph is in chapter 3. Here they give a graph that is like the one on the left above.

Later we will discuss differentiation. The idea is that we will be able to say where a line is tending to go at a particular place (a limit). What is notable here, Edwards & Penney seem to be saying, is that there is a continuous progress even as the line crosses the y axis. All before the limit at 0, and all after it, the line is tending a certain direction. However, at the 0 limit, it is not tending anywhere. Nonetheless, the line (the function) is continuous. So algebraic functions can be continuous even at places where we cannot determine its tendencies (that is, differentiate it, in the calculus sense of the term).



from Edwards & Penney:
Calculus. New Jersey: Prentice Hall, 2002, pp. 3; 31-31; 137.

3 Sept 2010

Heaven Vacated. Jean Beaufret. Summary of "Hölderlin et Sophocle", pp.16-26


by Corry Shores
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Image credits given below.]


Heaven Vacated


(Thanks pileface.com)

Summary of
Jean Beaufret
"Hölderlin et Sophocle"
pp.16-26



What's This Commentary Got to Do with You?

In our lives, dramatic unpredictable events happen which change the course of events in our lives, but also change us ourselves in a very profound way. What is that moment like? It is as though the normal flow of time evaporated. We are left without the ability to expect what is to come, or to make sense of what has happened. It is as if time is emptied of all its contents. We are purely in the moment. And the immediate moment is unfilled and undetermined, and unconnected with the past and future which now seem to originate from this middle-point, as though we now will understand the past in relation to this current moment, and as well we now will see all future events following from this moment too. Yet maybe these moments are not so rare. Perhaps it is more of a matter of degree. That is to say, the future and the past are always originating now, although maybe only more-or-less explicitly to our awareness. And this is because the immediate moment is one of unpredictable and undetermined variation, from which we secondarily define the past and future. What would make the immediate situation a state of pure variation would be if it were constituted by differences and paradox. So the more intensely we feel the difference which makes the immediate situation what it is, the less we are living in a pre-drawn line-of time. We instead are always shooting out intensively like the differential tangent on a continuously varying curve. This is time at the heart of time, upon its grounding bedrock. This means that we are not fundamentally ‘in’ time. We need not see ourselves as being determined by a past and as determining a future. We could see ourselves more primarily as being immediate difference on the inside, in contact immediately with the differences in the world. When we more clearly see how we are constituted by difference, we can better grasp the reasons for why we are continuously changing.


Brief Summary

Jean Beaufret discusses certain Kantian influences in Hölderlin’s Remarks on Oedipus and Antigone. Hölderlin identifies a rhythmic point in the stories where the pace shifts. This break he calls the cesura, and it happens when the seer Tiresias predicts a future that is not implied from the story’s beginning. Oedipus for example should not be blamed for his crimes, so his suffering might seem unjust. In a way, the gods abandon time itself, because they cease to make time have an internal consistency; the end will no longer ‘rhyme’ with the beginning. But humans too need not act as though their actions will bring about a correspondence with their past. They need not at all view time as a story-line laid-out in advance. Instead, humans can be at the heart of time, in the a priori conditions of time and space. When the gods abandon us by no longer determining a content to the progress of time, it is like them vacating the heavens, leaving behind them a vast vacuum, a pure emptiness of time and space.


Points Relative to Deleuze
[Under Ongoing Revision]

For Deleuze, our split-self is what explains the basis of time. And also, temporality in its rawest form is ‘rhythm’ for Deleuze, and in an even more basic form, time is void of all contents. Deleuze elaborates these ideas by looking at Hölderlin’s Remarks on Oedipus and Antigone, where he explains the disruptive rhythmic cesura when human-kind falls into an a priori pure and empty form of time. Oedipus Rex, for example, has two main parts, divided according to the pace of dramatic development unfolding in each section. The breaking point, the cesura, which balances the two unequally weighted sections, is the moment that Tiresias declares a past and future unknown to Oedipus. In fact, he declares Oedipus to be a person completely contrary to who Oedipus thought himself to been throughout his past. For all his life, Oedipus tried not to fulfill his prophesy of killing his father and marrying his mother. So in his mind, he absolutely is not such a person who would do these things. As it turns out, he in fact did do these things, but completely without knowing it.

1) So in the first place, we note that at the moment of the prophesy, Oedipus faces himself as a self completely foreign to himself. The next thing we note is that there is a lot of dramatic density and intensity at the beginning of the play. After the prophesy, it is a tortured gradual process of Oedipus self-unraveling. This means, at the point of the prophesy, we are experiencing a pure variation of speed. This makes it like an instantaneous change, which we see for example in physics’ instantaneous velocities. Before and after this moment we might regard their being extents of dramatic unfolding with their own general pace. But at the moment of change, in between these extents, is a quantity that indicates the tendency toward change. If we consider terms from the physics example, we could imagine this quantity as being like the relation between an infinitely small amount of time to an infinitely small amount of dramatic development. What we get is a value telling us the tendency toward changing in dramatic pace. But this tendency does not extend in space or time (it is based on vanishingly small values). It is non-extensive, and in fact, it would be intensive. The prophetic moment is an intensity, a piece of reality that is full of reality, but is not expressed explicitly in the actuality of the extending world birthed from these intensities. So in a sense, it is a pure quantitative variation, a pure difference, a difference without terms.


2) We normally consider rhythm as a regular pattern. But we could also think of it as being a feeling of change. A rhythm too steady would homogenize with itself. Our attention fades when a rhythmic pattern is too regular, like how we struggle to pay attention to every tick of a clock. So rhythm instead can be thought of as having a continuous variation. Rhythm could be the pure feeling of change. This then places the cesura at the heart of the dramatic rhythm of the tragedies.

We will see that for Deleuze, temporality in its rawest expression is a continuous quantitative variation in how things are given to us, that is, how they appear to us. In other words, the raw experience of the motion of time is an experience of rhythm, and at the heart of rhythm is an immediate break in our experience of the world and in our experience of ourselves.

3) The parts before and after the cesura do not ‘rhyme’. In Aeschylus’ tragedies, for example, it could be apparent to the characters that their actions will obviously bring tragic consequences. Oedipus story, however, does not fit this. He is punished even though he should not be held responsible for his crimes. And also, his tragic end is not the expected sort. Usually the characters suffer a painful death at the end of the story. Oedipus, however, goes on living. He wanders until eventually making a peaceful, painless, and glorious transition into the afterlife. So the beginning and the end do not rhyme, in his story. There is not the accordance like in Aeschylus where the initial crime finds its mete end. So at the cesura, it is like a poetic modulation. It is like writing a new poem in the middle, so that the next line does not rhyme, but seems like it should, because it caries-on from where the poem was previously developing. Deleuze regards this as the unbending of the circle of time into a line. We might find that this line is like the tangent line which could illustrate an instantaneous velocity, for example. It is a non-extending line of time. Not time as a linear continuity, like our historical time-lines. But time as a direction and tendency for development in that direction, expressed immediately and not over an extent of time. This would be time unraveling down upon its immediate a priori conditions, it being made of pure differential relations.

4) This pure form of time is empty. Beaufret makes this point very nicely. Normally in Greek tragedy, there is a fated path our lives follow, and it is dictated by the gods. But after Oedipus’ self-punishment, he is left to wander. So there is no longer a determinate content laid-out before him, at least not one that is clear in his moment of realization. And also, he had his own past pulled from underneath him like a rug. In that moment of disorientation, no past is clear to him, because at that moment when his own self becomes unclear, different pasts become equally believable and doubtable to him. So there is a complete suspension of the future and the past. And without future and past present to him, even the present loses its temporal meaning. We would not even say that he is in the present, because 'present' has little meaning without relation to past and future. Instead, we would say he is in pure immediacy. It is a non-temporal experience. Nonetheless, this experience demonstrates what lies at the heart of our experience of time. Hölderlin says that it brings us to the a priori conditions of space and time, their being pure and empty. It is not that time ceases to exist for Oedipus in his moment of realization, but rather that time is emptied of all its actual content. He experiences just the emptiness of time, what secondarily gets filled by actual events of change. Beaufret puts this very nicely. The gods reside in the heavens. When they ceased filling Oedipus’s life-time with fated content, it is like they vanished from the heavens. This leaves just the pure emptiness of the sky. This is like how he faces time not as filled by change or as flowing-by, but as the pure conditions of emptiness which allow secondarily for change to find its temporal relational ‘space’ of occurrence.




Jean Beaufret


(Thanks encreuse.com)

Summary of
"Hölderlin et Sophocle"
pp.16-26

A main theme in Sophocles' Oedipus is the gods’ turning their backs on humans. So it is not atheist in the sense of us not believing in god. Rather, it is godless, in the sense of the gods existing while yet also ceasing to involve themselves in dictating the events of our lives. Oedipus is not struck-down by the gods. Rather, he is condemned to wander the earth. (16) Normally a tragic character dies from his crimes. In Oedipus’ case, he somehow survived. His death is delayed. His destiny then is no longer imposed on him. However, the indeterminacy of his destiny makes it more profound, and also more like our modern sense of the tragic, which is not violent death as in the classic Greek, but more of an abandonment to an indeterminate fate, with no recourse to divine determination. (17)

In a way, this is a shortcoming in the gods ability to interfere in Oedipus’ human life. We are no longer bound into a line of development in our lives that leads to a fate predetermined by the gods. Rather, we live entirely in the moment, but for that reason we forget ourselves. The gods usually represent a justice in time. They normally punish grave crimes with a tragic painful death. But Oedipus does not end this way. So time for him is different now. And there is infidelity both in time and in humanity. Because there is no fated divine justice in Oedipus’s life-story, there is no cyclical return of restoration and atonement. Instead, the beginning and end do not correspond to each other; they do not ‘rhyme’. So time itself has a sort of infidelity with itself. The time-path of Oedipus’ life is now wandering and indeterminate in a way. It constantly verges from its beginning. [It in a sense is a continual process of becoming low-fi, to borrow a concept from Richard Pinhas.] The other infidelity is on Oedipus’ part. He can no longer restore his life-situation to how it began. So he too continually diverges from his origin. He lives now only in the moment, with no faithfulness to how time will progress in a way that produces justice. (18)

So we no longer think of time as having a back-side and a forward-side that could harmonize or ‘rhyme’. We instead live in the moment where we feel not a cycle but something more like an oscillation of a sort, like our ship is rocking in the sea as it sails-on.

By living in the moment, and thereby forgetting themselves, humans give birth to a new memory of themselves that is even more profound. They see themselves more authentically as being apart from the gods. (19)

We might here consider Kant’s distinction between the phenomenon and the neumenon, putting aside what he says about sensible cognitions being intellectual ones as well. Hölderlin reads Kant differently than does Fichte, Hegel, and Schelling. (20)

Recall how Hölderlin writes that the gods are nothing more than time. He also says that in the utmost form of suffering, there exists nothing but the conditions of time and space. These conditions are not like affections, which give us content. There is no content to a priori space and time. Kant calls them pure or empty forms of space and time. Before Oedipus, the gods determined the time spanning-out before a person’s life. The gods in a way are like the content to time. But when they depart from us, as if leaving the sky, do they not leave us with a pure void, an empty heaven, the pure form of space and time in all its vast emptiness and purity?

God is no longer “cette immense horloge de lumière qui mesure ce qu’elle manifeste et manifeste ce qu’elle mesure”. (21)

Before, the Homeric time of the gods prevailed. But with Oedipus, during such extraordinary moments of inner confusion when the gods become faithless to humans, we enter a time and space that is as empty as a desert. (22-23)

We then pose a question: so, there is this empty time which is more like an a priori “condition” for our temporal experiences; how then are we to comprehend it as having an end which does not “rhyme” with its beginning? Beaufret says that we must in the first place remain within the context of the tragedies, and consider their beginnings and ends, rather than jumping to conclusions regarding temporality in general.

At the beginning of his Remarks on Antigone, Hölderlin returns to this idea of the cesura. On the one hand, the cesura is what forces-together both sides of the tragedy, yet as a break, it as will is what places them over-against one another. The cesura is the balancing point, and it leans more either toward the end or the beginning, so to balance the ‘weight’ of the paces of dramatic development. Hence, each tragedy has a different “rhythm”. At this cesura point when the dramatic pace explodes, gods and men are forced together. (23)

We also saw divine prophetic intervention in Aeschylus’s Agamemnon. Cassandre foresees the murders and return of Orestes. But this prophesy does not serve as a cesura. What she says is something expected. [Oedipus’ crimes were unknown to him, so the consequences were for him unforeseeable. Agamemnon, however, when sacrificing his daughter, could know ahead of time that this would later bring grave consequences. As well, Agamemnon was rightfully reluctant to walk-upon the red carpet, which he knew would insult the gods.] In Aeschylus, the story in a way is finished even as soon as it begins; the telos or final end is set from the beginning. (24) Oedipus, on the contrary, begins nobly. His crimes were unintentional and unknowable. His later blind wandering does not at all rhyme with the beginning. It is like a note that does not fit, as if a new melody started playing, or a new poem began from the middle of another one. [A cesura is a break in the sense of a new time beginning immediately. But as the beginning, nothing fills it. Deleuze might have us see things as always this way. Each moment is a new beginning. We are ‘ever begun’ or ‘always initial’, rather than the more common motto, ‘always ever’. This 'always initial' is like the innocence of becoming; we are always initiates, ever having our first experience, which is the experience of the pure difference of immediacy.] The cesura breaks-apart what has happened ‘so far’ ('thus') from what shall happen ‘henceforth’, making a fundamental change in the path of development.

We might trace Hölderlin’s understanding of this sort of a radical break to Kant’s Religion within the Limits of Reason Alone. Here, becoming moral is not just an improvement, but a true revolution within us, a complete change of our heart [Herzenänderung]. In this case of a fundamental internal transformation, the beginning and end of someone’s life will not rhyme. (25) Here then we can see what is probably another Kantian influence on Hölderlin’s thinking. (26)




Beaufret, Jean. "Hölderlin et Sophocle," preface to Hölderlin: Remarques sur Oedipe. Remarques sur Antigone. Transl. François Fédier. Paris: Union générale d'éditions, 1965.


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2 Sept 2010

We Are the Transparent Mask Who Faces Us. Friedrich Nietzsche. The Birth of Tragedy. §9

by Corry Shores
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We Are the Transparent Mask Who Faces Us


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Friedrich Nietzsche
The Birth of Tragedy
§9


What’s this Section Got to do with You?

Sometimes we see injustice in the world, and it moves us to act. But because it requires a strong reaction, it means we must aggrandize ourselves so to meet the grave challenge. Our efforts make us bigger, in a sense. We are breaking out of those boundaries that normally keep us in. So in a sense we are striving toward a greatness that is almost universal, as if we want to become one with the being of the world. However, what is it that motivates us to act in the first place? We saw injustice, which means a greater power is overstepping its bounds and harming a lesser power. So we want to restore the situation back to when things stayed within their bounds. Hence on the one hand, we are striving toward breaking out of boundaries and for universality. While yet on the other hand, our motivation is restoring boundaries and individualities. Nietzsche construes these opposing forces as Apollinian and Dionysian. Often times in our lives, our actions are based on dualities of forces which are incompatible. And perhaps their incompatibility lends to the force of our actions.


Brief Summary

Nietzsche associates the “Apollinian” dimension of Greek tragedy with “individuation and just boundaries”. On the “Dionysian” side there is the titanic urge to break our human boundaries and transgress divine laws, disrupting the normal and stable order of things. Aeschylus’ Prometheus story shows how both Apollinian and Dionysian forces are found expressed in the same action of the hero. He is Apollinianly motivated by wanting to find justice for humanity, but he does so Dionysianly by transgressing boundaries.

Nietzsche considers the Prometheus story to have an “active” attitude. The hero performs the transgression, which consequently brings him great suffering. In contrast to this is Sophocles’ Oedipus. It has a “passive” attitude, because Oedipus passively receives his suffering.


Points Relative to Deleuze
[Under Ongoing Revision]

For Deleuze, we are internally different from ourselves, and this is based on a pure empty form of time. Our I is the formal unity of our conscious acts [their already belonging together], but our Self is our appearing to ourselves. We sense ourselves. In this way, our appearing-self is passive; it is sensed. And our self-appearings are in time. So insofar as we are appearances, we are in continuous variation, but insofar as we are the unity of our consciousness, we are unified and self-same. These two facets of ourselves are internal to us, but they are also different from each other. So they cannot occupy the same ‘space’ within us. In fact, there is no ‘space’ inside us. The way that our internal parts are divided is by taking different places in time. But it is not that our self-unity and our self-appearing are two temporally distinct moments within us. Perhaps these two different internal parts in a way want to push apart from one another. We might think of this pushing-apart as being what makes time what it is in its pure form. What makes pure a priori time ‘empty’ might not be that it has a lot of space in it, but rather that it has not yet extended out into an actual temporal extension. Rather, time in its pure form could just be the forces of difference that push things apart internally; and as internal, push them out to temporal successivity rather than into spatial relations. So, our most immediate experience is the experience of ourselves. Here we find ourselves being made of a fundamental difference, between unity of consciousness and self-appearings. This internal difference within ourselves is a tendency toward extending into time. But as a tendency, it is not yet temporal. It is more like the formal a priori conditions for time; it would be like our readiness to receive ourselves as temporal. And also, as formal and non-temporal, it is a pure and empty sort of time.



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Friedrich Nietzsche
The Birth of Tragedy
§9

Nietzsche speaks of the Apollinian side of Greek tragedy, the part that “looks simple, transparent, beautiful”. It seems we can even look into the souls of Sophocles’ characters, as if there were only a thin transparent mask covering them. Yet when we probe deeper in the myths underlying Sophocles’ heroes, we peer deeply into the horrors of nature. There is a seriousness in Greek cheerfulness.

For Sophocles, Oedipus is the greatest sufferer.
Sophocles conceived doomed Oedipus the greatest sufferer of the Greek stage, as a pattern of nobility, destined to error and misery despite his wisdom, yet exercising a beneficent influence upon his environment in virtue of his boundless grief.
Oedipus in a sense is noble and innocent. [His accidentally and unknowingly killing his father was a rightful act of self-defense. And his marrying the queen whom he later learns is his mother— this deed was part of his reward for lifting the sphinx’ hold over the road to Thebes.] Yet his noble actions crush a former state of things and create a new one.
The profound poet tells us that a man who is truly noble is incapable of sin; though every law, every natural order, indeed the entire canon of ethics, perish by his actions, those very actions will create a circle of higher consequences able to found a new world on the ruins of the old.
The Greeks, Nietzsche writes, delight in the outcome, where Oedipus, once ruler of Thebes and the one who would judge the man bringing curses on the city, at the end becomes the guilty accused, who must receive punishment from his own self.

In Oedipus at Colonus, Oedipus is now decrepit and broken from undergoing his profound suffering. [In the end, he makes an easy and glorified transition into the afterlife, which he actively chooses to undertake. In a way, his passive suffering leads to an pleasant active outcome. Hence there is a sort of cheerfulness again in the suffering.]
In "Oedipus at Colonus" we meet this same cheerfulness, but utterly transfigured. In contrast to the aged hero, stricken with excessive suffering and passively undergoing his many misfortunes, we have here a transcendent cheerfulness issuing from above and hinting that by his passive endurance the hero may yet gain a consummate energy of action. This activity (so different from his earlier conscious striving, which had resulted in pure passivity) will extend far beyond the limited experience of his own life. Thus the legal knot of the Oedipus fable, which had seemed to mortal eyes incapable of being disentangled, is slowly loosened. And we experience the most profound human joy as we witness this divine counterpart of dialectics.
Nietzsche notes that extreme unnaturalness, like Oedipus’ incest, is required in these tales when the normal order of life and time is broken.
If we examine Oedipus, the solver of riddles and liberator of his mother, in the light of this Parsee belief, we may conclude that wherever soothsaying and magical powers have broken the spell of present and future, the rigid law of individuation, the magic circle of nature, extreme unnaturalness—in this case incest—is the necessary antecedent; for how should man force nature to yield up her secrets but by successfully resisting her, that is to say, by unnatural acts? This is the recognition I find expressed in the terrible triad of Oedipean fates: the same man who solved the riddle of nature (the ambiguous Sphinx) must also, as murderer of his father and husband of his mother, break the consecrated tables of the natural order.
Nietzsche goes on to contrast (Sophocles’) Oedipus’ glory of passivity with the glory of action in Aeschylus’ Prometheus. In this tale “Man, raised to titanic proportions, conquers his own civilization and compels the gods to join forces with him, since by his autonomous wisdom he commands both their existence and the limitations of their sway.” We find a human longing for justice above the divine, in a fate binding both mortals and the gods, which seemingly takes the form of a righteous impiety. Greek artists, in fact, felt there to be a mutual dependency between themselves and the gods. Nietzsche writes that “titanic” artists could reach divine immortal heights so long as they suffer profoundly. We might contrast then Aeschylus’ great power of doing with Sophocles’ glorification of holy men.
The glorious power "to do," which is possessed by great genius, and for which even eternal suffering is not too high a price to pay—the artist's austere pride—is of the very essence of Aeschylean poetry, while Sophocles in his Oedipus intones a paean to the saint.
Yet even the glorious power of doing in Aeschylus hides something dark underneath. It could be that this Aryan (Indo-European) tragic story of Prometheus is related to the Semitic (Middle-Eastern) legend of the Fall. Ancient men knew that fire is necessary for civilization. But fire naturally comes from divine sources, thunderbolts from the heavens where gods reside. For men to use fire freely in everyday affairs, then, seems a crime, given its heavenly origin. “Thus this original philosophical problem poses at once an insoluble conflict between men and the gods, which lies like a huge boulder at the gateway to every culture. Man's highest good must be bought with a crime and paid for by the flood of grief and suffering which the offended divinities visit upon the human race in its noble ambition.” Here something good for humanity, fire, must be acquired by means of a crime against the gods. This is a bit unlike the Semitic story of the Fall. In this case, our crime against God is the result of our weaknesses. [Continuing from the last quote:]
An austere notion, this, which by the dignity it confers on crime presents a strange contrast to the Semitic myth of the Fall—a myth that exhibits curiosity, deception, suggestibility, concupiscence, in short a whole series of principally feminine frailties, as the root of all evil.
In the Aryan story, there is an “exalted notion of active sin as the properly Promethean virtue; this notion provides us with the ethical substratum of pessimistic tragedy, which comes to be seen as a justification of human ills, that is to say of human guilt as well as the suffering purchased by that guilt”.

[Recall how the Oedipus myth involves a passive suffering and hence is contrary to the Prometheus tale, which has an active theme. The Aryan myth is contrasted with the Semitic myth. The Prometheus story, which is Aryan, involves an actively committed crime against the gods. The Oedipus story has the passive theme, so as contrary to the Prometheus story, perhaps we can consider Sophocles’ Oedipus to be like the Semitic tale. Deleuze writes in “On the Four Formulas”: “Nietzsche, in a similar sense, considered it [Sophocles’ Oedipus] to be the most Semitic of the Greek tragedies.” p.28bc]

In the Aryan tale, man and god live in different independent realms, although they encroach upon one another. The hero wants to de-individual himself by striving toward becoming a universal world-being. But in doing so, he learns of the tension between the divine and human worlds, the barriers the gods place in our human affairs. This compels the hero to transgress the limits and to suffer profoundly. The Aryan story assigns this primordial crime to a man, and the Semitic tale assigns it to a woman.

So in the Prometheus myth, there is “the imperative necessity of hubris for the titanic individual”. Nietzsche says that this contains a pessimistic idea with a non-Apollinian character.
It is Apollo who tranquilizes the individual by drawing boundary lines, and who, by enjoining again and again the practice of self-knowledge, reminds him of the holy, universal norms.
Yet Dionysian forces eventually disrupt the Apollinian tendency toward stasis in Hellenistic culture. So the titanic urge of the hero to become Titan Atlas bonds Promethean and the Dionysian forces. Yet deep down, this urge toward universality is based in the Apollinian desire for just boundaries and individuality. Hence Aeschylean tragedies unite both the Apollinian and the Dionysian.
In this respect the Aeschylean Prometheus appears as a Dionysian mask, while in his deep hunger for justice Aeschylus reveals his paternal descent from Apollo, god of individuation and just boundaries. We may express the Janus face, at once Dionysian and Apollinian, of the Aeschylean Prometheus in the following formula: "All that exists is just and unjust and equally justified in both."
That is your world! A world indeed! — [Goethe's Faust, I, 409]


From the Kaufmann translation:[Originally on Nietzsche Channel. Try also here if that link does not work.]
The Birth of Tragedy
9
Everything that rises to the surface in the Apollinian portion of Greek tragedy (in the dialogue) looks simple, transparent, beautiful. In this sense the dialogue is a mirror of the Greek mind, whose nature manifests itself in dance, since in dance the maximum power is only potentially present, betraying itself in the suppleness and opulence of movement. The language of the Sophoclean heroes surprises us by its Apollinian determinacy and lucidity. It seems to us that we can fathom their innermost being, and we are somewhat surprised that we had such a short way to go. However, once we abstract from the character of the hero as it rises to the surface and becomes visible (a character at bottom no more than a luminous shape projected onto a dark wall, that is to say, appearance through and through) and instead penetrate into the myth which is projected in these luminous reflections, we suddenly come up against a phenomenon which is the exact opposite of a familiar optical one. After an energetic attempt to focus on the sun we have, by way of remedy almost, dark spots before our eyes when we turn away. Conversely, the luminous images of the Sophoclean heroes—those Apollinian masks—are the necessary productions of a deep look into the horror of nature; luminous spots, as it were, designed to cure an eye hurt by the ghastly night. Only in this way can we form an adequate notion of the seriousness of "Greek cheerfulness"; whereas we find that cheerfulness generally misinterpreted nowadays as a condition of undisturbed complacence.
Sophocles conceived doomed Oedipus the greatest sufferer of the Greek stage, as a pattern of nobility, destined to error and misery despite his wisdom, yet exercising a beneficent influence upon his environment in virtue of his boundless grief. The profound poet tells us that a man who is truly noble is incapable of sin; though every law, every natural order, indeed the entire canon of ethics, perish by his actions, those very actions will create a circle of higher consequences able to found a new world on the ruins of the old. This is the poet's message, insofar as he is at the same time a religious thinker. In his capacity as poet he presents us in the beginning with a complicated legal knot in the slow unraveling of which the judge brings about his own destruction. The typically Greek delight in this dialectical solution is so great that it imparts an element of triumphant cheerfulness to the work, and thus removes the sting lurking in the ghastly premises of the plot. In "Oedipus at Colonus" we meet this same cheerfulness, but utterly transfigured. In contrast to the aged hero, stricken with excessive suffering and passively undergoing his many misfortunes, we have here a transcendent cheerfulness issuing from above and hinting that by his passive endurance the hero may yet gain a consummate energy of action. This activity (so different from his earlier conscious striving, which had resulted in pure passivity) will extend far beyond the limited experience of his own life. Thus the legal knot of the Oedipus fable, which had seemed to mortal eyes incapable of being disentangled, is slowly loosened. And we experience the most profound human joy as we witness this divine counterpart of dialectics. If this explanation has done the poet justice, it may yet be asked whether it has exhausted the implications of the myth; and now we see that the poet's entire conception was nothing more nor less than the luminous afterimage which kind nature provides our eyes after a look into the abyss. Oedipus, his father's murderer, his mother's lover, solver of the Sphinx's riddle! What is the meaning of this triple fate? An ancient popular belief, especially strong in Persia, holds that a wise magus must be incestuously begotten. If we examine Oedipus, the solver of riddles and liberator of his mother, in the light of this Parsee belief, we may conclude that wherever soothsaying and magical powers have broken the spell of present and future, the rigid law of individuation, the magic circle of nature, extreme unnaturalness—in this case incest—is the necessary antecedent; for how should man force nature to yield up her secrets but by successfully resisting her, that is to say, by unnatural acts? This is the recognition I find expressed in the terrible triad of Oedipean fates: the same man who solved the riddle of nature (the ambiguous Sphinx) must also, as murderer of his father and husband of his mother, break the consecrated tables of the natural order. It is as though the myth whispered to us that wisdom, and especially Dionysian wisdom, is an unnatural crime, and that whoever, in pride of knowledge, hurls nature into the abyss of destruction, must himself experience nature's disintegration. "The edge of wisdom is turned against the wise man; wisdom is a crime committed on nature" [see Sophocles' Oedipus the King, 316–17]: such are the terrible words addressed to us by myth. Yet the Greek poet, like a sunbeam, touches the terrible and austere Memnon's Column of myth, which proceeds to give forth Sophoclean melodies!
Now I wish to contrast to the glory of passivity the glory of action, as it irradiates the Prometheus of Aeschylus. Young Goethe has revealed to us, in the bold words his Prometheus addresses to Zeus, what the thinker Aeschylus meant to say, but what, as poet, he merely gave us to divine in symbol:
"Here I sit, forming men
in my own image,
a race to be like me,
to suffer, to weep,
to delight and to rejoice,
and to defy you,
as I do!"
Man, raised to titanic proportions, conquers his own civilization and compels the gods to join forces with him, since by his autonomous wisdom he commands both their existence and the limitations of their sway. What appears most wonderful, however, in the Prometheus poem—ostensibly a hymn in praise of impiety—is its profound Aeschylean longing for justice. The immense suffering of the bold "individual," on the one hand, and on the other the extreme jeopardy of the gods, prefiguring a twilight of the gods—the two together pointing to a reconciliation, a merger of their universes of suffering—all this reminds one vividly of the central tenet of Aeschylean speculation in which Moira [fate], as eternal justice, is seen enthroned above men and gods alike. In considering the extraordinary boldness with which Aeschylus places the Olympian world on his scales of justice, we must remember that the profound Greek had an absolutely stable basis of metaphysical thought in his mystery cults and that he was free to discharge all his skeptical velleities on the Olympians. The Greek artist, especially, experienced in respect of these divinities an obscure sense of mutual dependency, a feeling which has been perfectly symbolized in the Prometheus of Aeschylus. The titanic artist was strong in his defiant belief that he could create men and, at the least, destroy Olympian gods; this he was able to do by virtue of his superior wisdom, which, to be sure, he must atone for by eternal suffering. The glorious power "to do," which is possessed by great genius, and for which even eternal suffering is not too high a price to pay—the artist's austere pride—is of the very essence of Aeschylean poetry, while Sophocles in his Oedipus intones a paean to the saint. But even Aeschylus' interpretation of the myth fails to exhaust its extraordinary depth of terror. Once again, we may see the artist's buoyancy and creative joy as a luminous cloud shape reflected upon the dark surface of a lake of sorrow. The legend of Prometheus is indigenous to the entire community of Aryan races and attests to their prevailing talent for profound and tragic vision. In fact, it is not improbable that this myth has the same characteristic importance for the Aryan mind as the myth of the Fall has for the Semitic, and that the two myths are related as brother and sister. The presupposition of the Prometheus myth is primitive man's belief in the supreme value of fire as the true palladium of every rising civilization. But for man to dispose of fire freely, and not receive it as a gift from heaven in the kindling thunderbolt and the warming sunlight, seemed a crime to thoughtful primitive man, a despoiling of divine nature. Thus this original philosophical problem poses at once an insoluble conflict between men and the gods, which lies like a huge boulder at the gateway to every culture. Man's highest good must be bought with a crime and paid for by the flood of grief and suffering which the offended divinities visit upon the human race in its noble ambition. An austere notion, this, which by the dignity it confers on crime presents a strange contrast to the Semitic myth of the Fall—a myth that exhibits curiosity, deception, suggestibility, concupiscence, in short a whole series of principally feminine frailties, as the root of all evil. What distinguishes the Aryan conception is an exalted notion of active sin as the properly Promethean virtue; this notion provides us with the ethical substratum of pessimistic tragedy, which comes to be seen as a justification of human ills, that is to say of human guilt as well as the suffering purchased by that guilt. The tragedy at the heart of things, which the thoughtful Aryan is not disposed to quibble away, the contrariety at the center of the universe, is seen by him as an interpenetration of several worlds, as for instance a divine and a human, each individually in the right but each, as it encroaches upon the other, having to suffer for its individuality. The individual, in the course of his heroic striving towards universality, de-individuation, and wishing himself to be the world being, comes up against that primordial contradiction and learns both to sin and to suffer. The Aryan nations assign to crime the male, the Semites to sin the female gender; and it is quite consistent with these notions that the original act of hubris should be attributed to a man, original sin to a woman. Incidentally, the chorus of wizards says:
"If that is so, we do not mind it:
With a thousand steps the women find it;
But though they rush, we do not care:
With one big jump the men get there."
[Goethe's Faust, I, 3982-85]
Once we have comprehended the substance of the Prometheus myth—the imperative necessity of hubris for the titanic individual—we must realize the non-Apollinian character of this pessimistic idea. It is Apollo who tranquilizes the individual by drawing boundary lines, and who, by enjoining again and again the practice of self-knowledge, reminds him of the holy, universal norms. But lest the Apollinian tendency freeze all form into Egyptian rigidity, and in attempting to prescribe its orbit to each particular wave inhibit the movement of the lake, the Dionysian flood tide periodically destroys all the little circles in which the Apollinian will would confine Hellenism. The swiftly rising Dionysian tide then shoulders all the small individual wave crests, even as Prometheus' brother, the Titan Atlas, shouldered the world. This titanic urge to be the Atlas of all individuals, to bear them on broad shoulders ever farther and higher, is the common bond between the Promethean and the Dionysian forces. In this respect the Aeschylean Prometheus appears as a Dionysian mask, while in his deep hunger for justice Aeschylus reveals his paternal descent from Apollo, god of individuation and just boundaries. We may express the Janus face, at once Dionysian and Apollinian, of the Aeschylean Prometheus in the following formula: "All that exists is just and unjust and equally justified in both."
That is your world! A world indeed! — [Goethe's Faust, I, 409]



Nietzsche, Friedrich. The Birth of Tragedy. in Basic Writings of Nietzsche. Transl. & Ed. Walter Kaufmann. New York: The Modern Library, 1966.

Available online at:
[Originally]
http://www.geocities.com/thenietzschechannel/bt.htm
If that link does not work, try:
http://nietzsche.holtof.com/Nietzsche_the_birth_of_tragedy/the_birth_of_tragedy.htm

Alternate translation by Ian Johnston at
http://records.viu.ca/~johnstoi/nietzsche/tragedy_all.htm


Deleuze, Gilles. Essays Critical and Clinical. Tranls. Daniel Smith and Michael Greco. Minneapolis: University of Minnesota Press, 1997.


Image sources
Double Mask Statue:
http://theartofhistory.com/store/index.php?main_page=product_info&products_id=163

Triple Mask:
http://beppyiram.blogspot.com/2010/07/disguise.html
Thanks Бέþþŷ Ïяåm


1 Sept 2010

Deranging Ourselves. Arthur Rimbaud. Letter To Georges Izambard. 13 May 1871. And Letter to Paul Demeny. 15 May 1871


by Corry Shores
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[Central Entry Directory]
[Literature, Poetry, and Drama Entry Directory]
[Other entries in the 'Time is Out of Joint' series.]


[The following is summarizes selected parts of the letter. I give my deepest thanks to the source of the image:
H. Lewandowski / www.histoire-image.org
Image credits given below.]




Deranging Ourselves

(Thanks H. Lewandowski / www.histoire-image.org)

Arthur Rimbaud
Letter To Georges Izambard
13 May 1871

&

Letter to Paul Demeny
15 May 1871


What’s this Letter Got to do with You?

We often think that we will fashion ourselves into the person we want to be. We see ourselves as having potential, or perhaps as being flabby, physically or mentally, and needing to be put in shape. So our ego or our I has a concept of who we want to be, and we then act upon ourselves to make ourselves according to our self-conceptions. Rimbaud wants to be a poet. But he does not associate with the ego that conceives himself as a poet. Rather, he relates himself to the unformed matter of his selfhood. For this reason, he more strongly feels himself to be other. So we too, when thinking we will undergo a pre-conceived change we too can see ourselves as being other to ourselves in this form/matter way.


Brief Summary

In the first letter, Rimbaud tells an old acquaintance that he is trying to become a poet. He feels himself to be like the matter which will receive the form of poet. The formal side is like the concept of who he will become, and his material side is like the disordered state he is in now (a state of derangement of all his senses). Hence he claims “I is an other” / “Je est un autre”.

In the second letter, he reiterates this point.


Points Relative to Deleuze
[Under Ongoing Revision]

Deleuze will locate the empty form of time at the basis of our selfhood, which is self-difference. It is not merely us changing through time. Rather, it is us being different from ourselves (our unity of self-consciousness being different from our self-appearings)– this self-difference goes hand-in-hand with the empty form of time, through which changes appear, including our own changes. So as a condition for us to change through time and to appear to ourselves, we need already to be internally distinguished as being both a) the pre-established unity of all our acts of consciousness to which we b) as appearances will appear. Our two main different self-expressions are internal to us, so they are not spatial. So as different, they cannot be different on the grounds that they occupy two different spatial places within us. Rather, they must be separated by temporal succession. So the grounds for our internal self-difference is successivity itself, or the form of succession, the formal relation that different internal things will take so that they may stand apart from each other. This is the empty a priori form of time. Thus at the heart of our selves, we are both pure difference and pure time.


Arthur Rimbaud
Letter To George Izambard
13 May 1871

Izambard has taken a teaching position at a university. Rimbaud on the one hand seems to congratulate him, but on the other he seems to criticize Izambard as well. This ambivalence extends also to what seems to be both a critique of Izambard’s poetic tastes, but also a criticism of his own tastes as well. “One day, I hope – many others hope the same thing – I will see objective poetry according to your principle, I will see it more sincerely than you would!” (303d)

Rimbaud explains that he wants to become a poet. So there is this idea already that he is unformed, in a way. He has not yet fully taken-on the form of a poet.
I want to be a poet, and I am working to make myself a seer: you will not understand this, and I don’t know how to explain it to you. It is a question of reaching the unknown by a derangement of all the senses. (303d)
Je veux être poète, et je travaille à me rendre voyant : vous ne comprenez pas du tout, et je ne saurais presque vous expliquer. Il s’agit d’arriver à l’inconnu par le dérèglement de tous les sens. (302d)
He goes on than to evoke an Aristotelian distinction between form and matter in order to describe how he is other to himself.
I is someone else. It is too bad for the wood which finds itself a violin (305a)
Je est un autre. Tant pis pour le bois que se trouve violon (304a)
We might look at part of Aristotle’s Metaphysics for context:
Therefore, as we say, generation would be impossible if nothing were already existent. It is clear, then, that some part must necessarily pre-exist; because the matter is a part, since it is matter which pre-exists in the product and becomes something. (Book VII, 1032b, from www.perseus.tufts)

Deleuze will contrast Rimbaud's form of self-division from the Kantian kind. For Rimbaud, he is like formless human matter that will one day find himself formed as a poet. He takes the perspective of the matter, and considers his I to be what provides the thoughts that form the raw matter of his self. Deleuze explains:
Aristotle tells us that there is matter and then there is form which informs [informe] matter. Matter is the copper, the bugle is the copper which has been poured into this form. Nothing could be more classical, and Rimbaud assimilates himself to a matter and says: thought forms me. (Cours Vincennes - 21/03/1978)
Aristote nous dit qu'il y a la matière et puis qu'il y a la forme qui informe la matière. La matière c'est le cuivre, le clairon c'est le cuivre qui a été coulé dans cette forme. C'est on ne peut plus classique, et Rimbaud s'assimile à une matière et dit : la pensée me forme. (Cours Vincennes - 21/03/1978)
Kant’s form of I is other is even more profound than Rimbaud’s. We will find that for Kant, it is not an I who is forming a self from raw self-matter. Kant’s I is just the unity of consciousness; it is found along with every concept we conceive, but the I itself is not however a concept. So Kant’s I is not a formative principle. And the self is not an object that is being formed by something. The self appears to consciousness. We sense ourselves. These appearances are in continual variation. We are constantly a divergence between our unity and our self-appearings. That is to say, below the unity of our consciousness there is a deeper internal self-differentiation.


Letter To Paul Demeny
15 May 1871

Rimbaud discusses with Paul Demeny the history of poetry and the evaluation of Romanticism. He then repeats his point from the previous letter. He goes on to elaborate on this idea that our I is there for the creation of our self-hood, as if it were a preexisting principle or concept that helps form ourselves from our raw self-matter.
For I is someone else. If brass wakes up a trumpet, it is not its fault. This is obvious to me: I am present at this birth of my thought: I watch it and listen to it: I draw a stroke of the bow: the symphony makes its stir in the depths, or comes on to the stage in a leap. (305d)
Car Je est un autre. Si le cuivre s'éveille clairon, il n'y a rien de sa faute. Cela m'est évident: j'assiste à l'éclosion de ma pensée: je la regarde, je l'écoute: je lance un coup d'archet: la symphonie fait son remuement dans les profondeurs, ou vient d'un bond sur la scène. (304d)

But the soul must be made monstrous: in the fashion of the comprachicos, if you will! [Editor's footnote: Comprachicos: kidnappers of children who mutilate them in order to exhibit them as monsters]. Imagine a man implanting and cultivating warts on his face.
I say one must be a seer, make oneself a seer.
The Poet makes himself a seer by a long, gigantic and rational derangement of all the senses. All forms of love, suffering, and madness. He searches himself. He exhausts all poisons in himself and keeps only their quintessences. Unspeakable torture where he needs all his faith, all his superhuman strength, where he becomes among all men the great patient, the great criminal, the one accursed – and the supreme Scholar! – Because he reaches the unknown! Since he cultivated his soul, rich already, more than any man! He reaches the unknown, and when, bewildered, he ends by losing the intelligence of his visions, he has seen them. (307c.d)
Mais il s’agit de faire l’âme monstrueuse : à l’instar des comprachicos, quoi ! Imaginez un homme s’implantant et se cultivant des verrues sur le visage.
Je dis qu’il faut être voyant, se faire voyant.
Le Poète se fait voyant par un long, immense et raisonné dérèglement de tous les sens. Toutes les formes d’amour, de souffrance, de folie ; il cherche lui-même, il épuise en lui tous les poisons, pour n’en garder que les quintessences. Ineffable torture où il a besoin de toute la foi, de toute la force surhumaine, où il devient entre tous le grand malade, le grand criminel, le grand maudit, - et le suprême Savant ! Car il arrive à l’inconnu ! Puisqu’il a cultivé son âme, déjà riche, plus qu’aucun ! Il arrive à l’inconnu, et quand, affolé, il finirait par perdre l’intelligence de ses visions, il les a vues ! (306c.d)




Aristotle. Aristotle in 23 Volumes, Vols.17, 18, translated by Hugh Tredennick. Cambridge, MA, Harvard University Press; London, William Heinemann Ltd. 1933, 1989.
Passage from: http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0052%3Abook%3D7%3Asection%3D1032b

Rimbaud, Arthur. Rimbaud: Complete Works, Selected Letters. Transl. Wallace Fowlie. Chicago: The University of Chicago Press, 1966.

Deleuze, Gilles. Cours Vincennes - 21/03/1978.
French: http://www.webdeleuze.com/php/texte.php?cle=59&groupe=Kant&langue=1
English: http://www.webdeleuze.com/php/texte.php?cle=67&groupe=Kant&langue=2


Image obtained very gratefully from
http://www.histoire-image.org/site/zoom/zoom.php?i=411&oe_zoom=129
Thanks H. Lewandowski
© Photo RMN - H. Lewandowski

27 Aug 2010

The Rhythm of Your Different Self. Friedrich Hölderlin. Remarks on Oedipus and Antigone


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

[Central Entry Directory]
[Literature, Poetry, and Drama Entry Directory]

[Other entries in the 'Time is Out of Joint' series.]


[The following is summarizes selected parts of the texts. I give my deepest thanks to the sources of the images:
wikimedia
www.zeno.org
Image credits given below.]


The Rhythm of Your Different Self
Friedrich Hölderlin
Remarks on Oedipus and Antigone


[Thanks wikimedia and www.zeno.org]


What’s Hölderlin’s Commentary Got to Do with You?

We might not realize it, but we are never who we are. We are always different from ourselves. In fact, difference is what makes us who we are. Rather than speaking of our ‘personal identity’, we might be better served to consider our ‘personal non-identity’. It is our not-being ourself, our always being internally different from ourselves. It is not that we are Dr. Jekyll and Mr. Hyde, where there are two conflicting sides of us that each expresses itself in different circumstances. It is something more profound. And it is not simply just that we are different today then we were yesterday, although this is part of the situation. Right now, without taking time and change into account- we right now are different from our very own selves. And it is this difference that makes us who we are. When we become aware of this, we realize our pure liberty. We are not confined to be anybody at all. This is not merely because we are always changing; for, our always changing is based on the fact that we are never self-same to begin with. Our already being different from ourselves is the condition which allows us to change. But when we, like Oedipus, descend into our pure self-difference, when we feel how we already begin by being different from ourselves, time for us is no longer a line of consistent development extending out from us. Rather time is empty; time is what is filled by changes. It is empty and open; we, then, are free and purely open too. The changes we undergo are what fill the open receptiveness we create by always being different from ourselves, even before time and change enter into consideration. We are difference. We are time open and free.


Brief Summary

In the Oedipus Rex tragedy, there is a break in the rhythmic pace of the story’s development. It happens when Oedipus discovers that there is an irreconcilable difference that makes him who he is: both someone who would never commit horrible crimes, and a person who in fact did do them. At this moment, the drama’s rhythm shifts pace. This cesura is both a break in time and in Oedipus' self-hood. For, by becoming painfully aware of his internal self-difference, he also happens upon the a priori conditions for space and time.


Points Relative to Deleuze
[Under Ongoing Revision]

Deleuze will claim that time at its basis is our split-self. Hölderlin describes the cesura he finds in Sophocles' tragedies. It is the ‘rhythmic’ moment when the pressures of the drama’s pace enter a transition. In the case of Oedipus, it is also the moment when the tragic character confronts himself as being other to himself. Deleuze seems to be saying that we are always at this rhythmic point. Time is continual variation based on our immediate internal differential relation. It is not that there is one moment along with its successor, and the differences are to be found secondarily between the two. No, rather the succession is only possible because in the first place we are open in an a priori way to receive internal moments as being different from one another. It is as though we internally open our arms to difference itself, so that we may receive differences, sometimes in the form of changes happening over time. But the conditions for change is our mode of reception, our taking-things-in as difference. The most immediate difference we are receptive-to is the difference that makes-up our selfhood. An intensional semiotics or logic would say that ‘son of Jocasta’ and ‘husband of Jocasta’ both share the same extensional term, 'Oedipus'. But we would not say that their meanings are exactly equal. They have different intensional references. Our personal non-identity is not something found merely in an extension. Oedipus is not Oedipus. Rather, Oedipus is the intensional difference that makes it possible for him to be expressed both as the son of Jocasta and the husband of Jocasta. Before Oedipus had this realization, he was not aware of the incompatibilities making him who he is.

If we are indistinguishable from ourselves, we cannot then appear to ourselves, and we cannot be aware of ourselves. As we noted before from Hölderlin’s other writings, some internal differentiation is needed for I to equal I. He writes:
“I am I” is the most fitting example for this concept of arche-separation as theoretical separation, for in the practical arche-separation it [the “I”] opposes the non-I, not itself.” [Hölderlin, “Judgment and Being” 37b; V,216]
Being must not be confused with identity. If I say: I am I, the subject (“I”) and the object | (“I”) are not united in such a way that no separation could be performed without violating the essence of what is to be separated; on the contrary, the I is only possible by means of this separation of the I from the I. [37-38; V,216-217] How can I say: “I”! without self-consciousness? Yet how is self-consciousness possible? In opposing myself to myself, separating myself from myself, yet in recognizing myself as the same in the opposed regardless of this separation. Yet to what extent as the same? I can, I must ask in this manner; for in another respect it [the “I”] is opposed to itself. Hence identity is not a union of object and subject which simply occurred, hence identity is not = to absolute Being. [38a, V,217]

In other words, we cannot have just one extension, we cannot just be Oedipus, as in his case. We must instead have different intensional meanings. The
I’s of “I am I” must be intensionally different. And thus what makes us who we are is the difference that makes it possible for the two to stand apart all while being forced-together in the same personal non-identity. This is the most immediate difference we are receptive to. And the immediate reception of difference is the a priori grounds for time. So when we like Oedipus are forced upon the intensive confrontation within our internal self-differentiation, we come more closely to a sense of the rhythmic foundations of our experience of time.


Summary of Selected Parts of Hölderlin's
Remarks on Oedipus and Antigone


Hölderlin writes that modern poetry lacks a form of ‘lawful calculation’ (gesezlichen Kalkul). ("Remarks on 'Oedipus'" p.101; V,195)

In a poem, representations, sensations, and reasons will appear in different successions. Yet lawful calculation will guide these appearances. In tragedy, the distribution within the succession tends toward a state of balance. (101; V,196)

Tragedies will have on onrush of change in the representations, culminating at a highest point. To counter-balance the disproportion in the pace of the drama, what is needed at that highest point is a “counter-rhythmic rupture” (
gegenrhythmische Unterbrechung). He calls this the cesura (Cäsur). (102a; V,196)

So in the calculation of the rhythmic sequence in the tragic play, there will be two parts, divided by the cesura. Both halves will relate to each other in a way that makes them appear as though they have common weight, even though they move at different speeds. (102a; V,196)

When the initial part of the tragedy has more ‘pressure’, then the counter-rhythmic cesura will be placed more toward the beginning. When instead the ending part has more pressure, the cesura will be placed toward the end. This is because the more rapid parts seem to weigh more. (102b; V,196) [So long stretches of low pressure are balanced by small sections of high pressure, found on the other side of the cesura fulcrum-point].

Oedipus Rex’s cesura is found toward the beginning; Antigone’s is toward the end. (102c; V,196) But in both cases, Tiresias’ speech forms the cesura. The seer is the figure who removes human-kind from our ‘life-sphere’, that is, the center of our inner life, and places us into another world and into the sphere of the dead. (102cd; V,197)

Hölderlin displays them this way:

_/__ and __\_

The first one is Oedipus and the second one Antigone. To explain the parts, he depicts it like this:

c__a\_b


(a) is the counter-rhythmic rupture of the cesura; (c) is the beginning, here fast paced and weightier, while the (b) is the slower-moving tail-end of the tragedy. ("Remarks on 'Antigone' " 109c.d; V,265)

Early in the story, Oedipus postures himself in complete antagonism toward the one who brought the plague upon Thebes.
“For that man
I accurse, whoever he be, in this land,
Where I hold sovereignty and throne;
Not shall one welcome him, not greet him
Not take him to sacrifice and not to offerings.
This I am shown
By the divine oracle, of Pytho, etc. [11. 226 ff] ("Remarks on 'Oedipus'" 103-104; V,198)
[So we see that one source for the onrushing forces of the play comes from Oedipus’ drive to discover and punish the criminal, who really is Oedipus himself. Later we will find that this drive will push back upon him, causing him to stand in the pure immediacy of his own self. He will see that he is internally differentiated between the self who thinks he would never do such a thing and the self who undeniably did commit these crimes.]

Hölderlin notes how in the second half we see Oedipus in “the desperate struggle to find himself, the brutal, almost shameless strife to gain control of himself, the madly wild seeking for a consciousness.” (“das verzweifelnde Ringen, zu sich selbst zu kommen, das niedertretende fast schaamlose Streben, seiner mächtig zu werden, das närrischwilde Nachsuchen nach einem Bewußtseyn.”) (p.104-105; V,199a.)

In the speeches toward the end we see “the insane questioning for a consciousness” (p.105d; V,200) in his mad search for who he is.

As Oedipus comes to uncover the tragic difference he shares with himself, we see the tremendous encounter between the gods and man, expressed in the dramatic dialogue. Hölderlin says that in these moments, man forgets himself, just as the gods forget themselves. [Normally tragedies end with the tragic character dying. But at the end of
Oedipus Rex, he is not yet dead. Rather, his death is a prolonged wandering journey, ending in a painless rather than tortured transition to the afterlife. But his tragic prophesy, known even before he was born, suggests to us that it would be fitting for Oedipus to die a tragic death. So in a way,] the beginning and end of Oedipus’ life story does not correspond or ‘rhyme’. [The gods who safe-guard man’s fate and ensure justice in this case seem to turn their concerns away from mankind. So normally the gods fill the time of our life-story with our fated events. But instead for Oedipus, he is left with the empty form of time. It is a pure time, an empty time, because it is unfilled by a fated line of development and so it is just there as time in pure immediacy. But time in pure immediacy is not like the usual extending time we normally consider to be time. It rather is time unmediated by duration. It is time as the condition for change. But we might think of time in this a priori form as being the way we receive internal moments as being successive. If one moment is the same as another, then there has not really been a passage to a new moment, and hence there is no succession. Rather, each moment must be different than the rest in order for them to succeed one another. So if time in its pure form is merely our manner of receiving succession, and if succession at its basis is difference, then this a priori time is our being in a state of receiving difference as it is immediately given to us. The difference that is most immediately given to us is the difference that makes us who we are. We experience it in many ways. Oedipus always was, from his fated beginning, someone who would never in his life kill his father and bed his mother, while also he was someone who undeniably commits these very deeds. At the tragic cesura moment, he cannot be distracted from this. The pain of his tragic feeling lies not merely in him realizing he committed these acts. It as well is the pain of realizing that he is not his own self. He himself is other to himself. Not as Dr. Jekyll and Mr. Hyde. Not as a new self regretting an old self. It is he himself, right there and then, in that moment of realization– he then is both himself and not himself at the same time. He realizes he is the criminal, all while he considers this criminal to be completely foreign to himself. So he is brought down into himself, which is a pure irreconcilable internal difference with himself. This also brings him to the conditions of time, for two reasons. 1) He is brought to the pure reception of difference. He at that moment is entirely consumed by his internal difference. He is in a state of purely receiving difference, which is a priori time, the conditions for our internal events having succession. So whenever we are absorbed solely in the internal difference that makes us who we are, we are also putting aside from our attention those changes that fill time, and instead find ourselves wrapped-up in the conditions allowing for those changes to appear successively in time. 2) When this happens to us, we are no longer observing what came before us and what comes after us in the succession. We instead are concerned with the grounds for our experiencing succession (our internal reception of difference). Successive events come secondary to the pure conditions of succession. In a way, the rest is not determined, in the sense that we are not in a moment placed within our life’s time-line, but rather that our life’s time-line shoots-out secondarily from these pure inner conditions. We see this expressed metaphorically with the turning-away of the gods. They are no longer there to tell us the story of our lives. Rather, we are left to wander an unforged road.] Hölderlin says that in these tragic cesura moments, humans forget themselves [that is, for example, Oedipus realizes he is not his very own self, and loses all sense of his role in society and his family, and even his responsibilities to himself, when he tears out his eyes]; and the gods forget themselves, because they are purely time [The gods no longer observe their role in the lives of mortals, and in a way become just the powers of fate itself, without any application to fated mortal beings.] The gods-time is unfaithful, because it no longer attempts to make Oedipus’ life-story correspond to the expectations made at the beginning by the prophesies, which are supposedly the messages of gods to men. Humanity becomes unfaithful; for, as we see in Oedipus’ case for example, he now finds himself on a wandering path in his life’s story which can no longer harmonize with his beginnings.

At such moments man forgets himself and the god and turns around like a traitor, naturally in saintly manner. – In the utmost form of suffering, namely, there exists nothing but the conditions of time and space.
Inside it, man forgets himself because he exists entirely for the moment, the god [forgets himself] because he is nothing but time; and either one is unfaithful, time, because it is reversed categorically at such a moment, no longer fitting beginning and end; man, because at this moment of categorical reversal he has to follow and thus can no longer resemble the beginning in what follows. (108a.b)

In solchem Momente vergißt der Mensch sich und den Gott, und kehret, freilich heiliger Weise, wie ein Verräther sich um. – In der äußersten Gränze des Leidens bestehet nemlich nichts mehr, als die Bedingungen der Zeit oder des Raums.
In dieser vergißt such der Mensch, weil there ganz im Moment ist ; de Gott, weil er nichts als Zeit ist ; und beides ist untreu, die Zeit, weil sie in solchem Momente sich kategorisch wendet, und Anfang und Ende sich in ihr schlechterdings nicht reiment läßt ; der Mensch, weil er in diesem Momente der kategorischen Umkehr folgen muß, hiermit im Folgenden schlechterdings nicht dem Anfänglichen gleichen kann. (V,202)

En un tel moment, l’homme oublie : il s’oublie soi-même et oublie le Dieu, et fait volte-face, sans manquer certes à la piété, comme un traître. – A la limite extrême du déchirement, il ne reste en effet plus rien que les conditions du temps ou de l’espace.
A cette limite, il oublie, l’homme, soi-même, parce qu’il est tout entier à l’intérieur du moment ; le Dieu parce qu’il n’est rien que Temps ; et de part et d’autre on est infidèle, le Temps parce qu’en un tel moment il vire catégoriquement, et qu’en lui début et fin ne se laissent plus du tout accorder comme des rimes, l’homme, parce qu’à l’intérieur de ce moment, il lui faut suivre le détournement catégorique, et qu’ainsi par la suite, il ne peut plus en rien s’égaler à la situation initiale. (65b.d)



Hölderlin, Friedrich. Sämtliche Werke. Fünfter Band. Stuttgart: Verlag W. Kohlhammer, 1952.

Hölderlin, Friedrich. Remarques sur Oedipe. Remarques sur Antigone. François Fédier, transl. Paris: Union générale is’éditions, 1965.

Hölderlin, Friedrich. Essays and Letters on Theory. Thomas Pfau, trans & ed. Albany NY: SUNY Press, 1988.


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