Showing posts with label phenomenology. Show all posts
Showing posts with label phenomenology. Show all posts

14 Jul 2017

Bergson (5.2.1-5.2.15) La pensée et le mouvant / Creative Mind, “[All reality is change and movement, which is absolutely indivisible]”, summary

 

by Corry Shores

 

[Search Blog Here. Index tabs are found at the bottom of the left column.]

 

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[Zeno’s Paradox, entry directory]

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[Bergson, La pensée et le mouvant / Creative Mind, entry directory]

 

[The following is summary. Boldface in quotation and bracketed commentary are my own. Proofreading is incomplete, so please forgive my typos. Citations give the pages for the 1938 French edition first; then the 1946 English second, and the 1965 English third.  Section and paragraph divisions follow those in the French edition; enumerations except for chapter numbers are my own.]

 

 

 

Summary of

 

Henri Bergson

 

La pensée et le mouvant:

Essais et conférences

 

[An Introduction to Metaphysics:]

The Creative Mind

 

5. La perception du changement / The Perception of Change

 

5.2. Deuxième conférence / Second Lecture

 

5.2.1-5.2.15

[All reality is change and movement, which is absolutely indivisible.]

 

 

 

Brief summary:

All reality is change. We have an inner mental life that is a flux not of distinct states but of continuous qualitative variation. And what we experience in the world are not invariable objects undergoing a series of discrete states. Rather, there is just pure durational change itself as the only substantiality, and there are not invariable things doing the changing. This means that all change and movement is absolutely indivisible. We cannot then say that a physical motion had spatialized parts to it. The movement is entire and durational (thus non-spatial) while it is happening. Only after the motion is complete can we examine the space traveled and then, if we want, divide that traveled space. But to divide the motion up, like in Zeno’s paradoxes, is to confuse movement and duration with space, which are incommensurable. So by committing this confusion we may derive Zeno’s paradoxes of motion. The evidence for the indivisibility of motion and change is phenomenological: we experience our own bodily motions as such. It is only on account of practical needs that we artificially divide the world and our mind up into immobilities. Also, we rely heavily on our vision, which is prone to artificially carve up the world into things that subsist as they move and change. But we should instead appeal to our hearing for information about real duration and change. When we hear a melody, for example, we experience a pure, indivisible, continuous variation without an invariable object as a substrate for that variation.

 

 

 

Summary

 

5.2.1

[All change and all movement is absolutely indivisible.]

 

Bergson asks us to break our normal habits of thinking so that we may contemplate “the direct perception of change and mobility” / “la percep-| tion directe du changement et de la mobilité” (157|158 / 167 / 142). He continues, “We || shall think of all change, all movement, as being absolutely indivisible” / “Nous nous représenterons tout changement, tout mouvement, comme absolument indivisibles” (158 / 167||168 / 142, emphasis in original).

 

 

5.2.2

[The motion of our hand from point A to B is a simple movement.]

 

Bergson has us consider if we move our hand from point A to B. The movement that transpires is “simple” [which may mean that it is indivisible, or complex in a non-divisible way somehow.]

Let us begin with movement. I have my hand at point A. I move it over to point B, traversing the interval AB. I say that this movement from A to B is by nature simple.

 

Commençons par le mouvement. J’ai la main au point A. Je la transporte au point B, parcourant l’intervalle AB. Je dis que ce mouvement de A en B est chose simple.

(158 / 168 / 142)

 

 

 

5.2.3

[If our hand makes no pause in its motion, it feels unitary and indivisible to us. If it does make a pause, then it does not feel like it was one motion with distinct phases; rather, it feels like two indivisible motions.]

 

We feel this action as being singular and indivisible. Suppose we pause at an intermediary point. How would that feel to us? As one divided motion? No, it would feel like two distinct motions. So long as it is a moving without pause, it feels indivisible.

But of this each one of us has the immediate sensation. No doubt while we are moving our hand from A to B we say to ourselves that we could stop it at an intermediary point, but in that case we should not have to do with the same movement. There would no longer be a single movement from A to B; there would be, by hypothesis, two movements, with an interval. Neither from within, through the muscular sense, nor from without ||| through sight, should we still have the same perception. If I leave my movement from A to B as it is, I feel it undivided and must declare it to be indivisible.

 

Mais c’est de quoi chacun de nous a la sensation immédiate. Sans doute, pendant que nous portons notre main de A en B, nous nous disons que nous pourrions l’arrêter en un point intermédiaire, mais nous n’aurions plus affaire alors au même mouvement. Il n’y aurait plus un mouvement unique de A en B ; il y aurait, par hypothèse, deux mouvements, avec un intervalle d’arrêt. Ni du dedans, par le sens musculaire, ni du dehors par la vue, nous n’aurions encore la même perception. Si nous laissons notre mouvement de A en B tel qu’il est, nous le sentons indivisé et nous devons le déclarer indivisible.

(158 / 168 / 142|||143)

 

 

5.2.4

[Because motion traverses space, we mistakenly think that the motion is divisible like the space is. But it is not. And we cannot say that the motion ever occupies a point of space at an instant of time. For, suppose we did divide the motion into smaller and smaller intervals. We would never arrive upon a point in space or time but only upon intervals of decreasing size. So while moving, the object is always passing through points; and it only occupies a point when it stops. Nonetheless, in reality, there is no rest; there is only change and motion. What appears to be at rest is simply moving at pace with our attention and thus seems like it is not moving or changing, like two trains moving side-by-side, making each train appear stationary to the other.]

 

Bergson will now address our tendency to want to divide up the motion into parts corresponding to spatial intervals the movement traversed. {1} We can divide the spatial interval AB into as many parts as we want. Since the movement traversed this space, we can divide the movement into as many parts as we wish, corresponding to the internal spatial intervals traversed. {2} At each instant of the motion, the hand occupied a determinate point. On the basis of these points, which correlate to instants of the motion, we can divide the motion into stages corresponding to the divided spatial intervals. Bergson then begins his responses to this sort of approach of dividing motion by means of space. He first asks {a} how can movement be applied to the traversed space? {b} And note that the space is immobile, but the movement is mobile. So how do you make something immobile coincide with something mobile? {c} How can a moving object be both moving and occupy a determinate point? If it is moving, it can only be said to be passing through a point. Were it to occupy a point, it would have stopped. [Let us take note briefly of what we may consider a correction and clarification Bertrand Russell makes with regard to this idea that to occupy a point is to be at rest. (See the entries for Bertrand Russell at the Zeno’s Paradox directory.) Russell notes that it is not enough to simply occupy a point to constitute rest. You need to remain at that point as time passes. But I think if we extract some of Bergson’s insight here, we can see a problem even with Russell’s at-at definition of motion. For Russell, there are never immediately successive points, because there is always another between any two. Now suppose we begin with one motion. And suppose we divide it into smaller and smaller intervals. Would we ever arrive upon its occupation of a point during an instant using this method? No. For no matter how small the interval, in Russell’s thinking, there is always a smaller one. And since there is no smallest decomposition, you never have occupation at a point; you only have smaller and smaller passings-through of sets of points. Thus if we begin with a unitary motion, we can never decompose it into parts that simply occupy a singular position at a singular instant. So, insofar as Russell has us think of a moving object occupying a determinate point in space, he is not dealing with a part of motion but rather with the space traversed by that motion.] Bergson further clarifies this notion of unitary motion. We think of any undivided motion as a “bound”, which endures for whatever duration of the motion, which can be any size interval, no matter how small or large. As a singular bound, it is indecomposable. But, after the bound has finished, we see that it traversed an extent of space. Since space is infinitely divisible, we imagine the motion to be so as well. But we are in error as soon as we think that we can really divide the motion up this way into immobilities. Bergson then makes the remarkable claim that in reality there are no immobilities. Whatever we consider to be an immobility is really just a movement that is going at pace alongside a moving point of reference: “when two trains move at the same speed, in the ||| same direction, on parallel tracks: each of the two trains is then immovable to the travellers seated in the other” (159 / 169 / 143|||144). [I am not entirely sure how to conceive the way this transpires in life. Perhaps the idea is that suppose we have something that we think is immobile. In reality it is changing. But it is changing at pace with our flow of awareness, perhaps. Consult the quotation to follow.]

It is true that, when I watch my hand going from A to B and describing the interval AB, I say: “The interval AB can be divided into as many parts as I wish, therefore the movement from A to B can be divided into as many parts as I like, since this movement is applied exactly upon this interval.” Or again: “At each instant of its trajection, the mobile passes through a certain point, therefore one can distinguish in the movement as many stages as one likes, therefore the movement is infinitely divisible.” But let us reflect for a moment. How could the movement be applied upon the space it traverses? How can something moving coincide with something immobile? How could the moving object be in a point of its trajectory passage? It passes through, or in other terms, it could be there. It would be there if it || stopped; but if it should stop there, it would no longer be the same movement we were dealing with. It is always by a single bound that a passing is completed, when there is no break in the passage. The bound may last a few seconds, or days, months, years: it matters little. The moment it is one single bound, it is indecomposable. Only, once the passage is effected, as the trajectory is space and space is indefinitely divisible, we imagine that movement itself is indefinitely divisible. We like to imagine it because, in a movement, it is not the change of position which interests us, it is the positions themselves, the one the movement has left, the one it will take, the one it would take if it stopped on the way. We need immobility, and the more we succeed in imagining movement as coinciding with the immobilities of the points of space through which it passes, the better we think we understand it. To tell the truth, there never is real immobility, if we understand by that an absence of movement. Movement is reality itself, and what we call immobility is a certain state of things analogous to that produced when two trains move at the same speed, in the ||| same direction, on parallel tracks: each of the two trains is then immovable to the travellers seated in the other. But a situation of this kind which, after all, is exceptional, seems to us to be the regular and normal situation, because it is what permits us to act upon things and also permits things to act upon us: the travellers in the two trains can hold out their hands to one another through the door and talk to one another only if they are “immobile,” that is to say, if they are going in the same direction at the same speed. “Immobility” being the prerequisite for our action, we set it up as a reality, we make || of it an absolute, and we see in movement something which is superimposed. Nothing is more legitimate in practice. But when we transport this habit of mind into the domain of speculation, we fail to recognize the true reality, we deliberately create insoluble problems, we close our eyes to what is most living in the real.

 

Il est vrai que, lorsque je regarde ma main allant de A en B et décrivant l’intervalle AB, je me dis : « l’intervalle AB peut se diviser en autant de parties que je le veux, donc le mouvement de A en B peut se diviser en autant de parties qu’il me plaît, puisque ce mouvement s’applique sur cet intervalle. » Ou bien encore : « à chaque instant de son trajet, le mobile passe en un certain point, donc on peut distinguer dans le mouvement autant d’étapes qu’on voudra, donc le mouvement est infiniment divisible. » Mais réfléchissons-y un instant. Comment le mouvement pourrait-il s’appliquer sur l’espace qu’il parcourt ? comment du mouvant coïnciderait-il avec de l’immobile ? comment l’objet qui se meut serait-il en un point de son trajet ? Il y passe, ou, en d’autres termes, il pourrait y être. Il y serait s’il s’y arrêtait ; mais, s’il s’y arrêtait, ce n’est plus au même mouvement | que nous aurions affaire. C’est toujours d’un seul bond qu’un trajet est parcouru, quand il n’y a pas d’arrêt sur le trajet. Le bond peut durer quelques secondes, ou des jours, des mois, des années : peu importe. Du moment qu’il est unique, il est indécomposable. Seulement, une fois le trajet effectué, comme la trajectoire est espace et que l’espace est indéfiniment divisible, nous nous figurons que le mouvement lui-même est divisible indéfiniment. Nous aimons à nous le figurer, parce que, dans un mouvement, ce n’est pas le changement de position qui nous intéresse, ce sont les positions elles-mêmes, celle que le mobile a quittée, celle qu’il prendra, celle qu’il prendrait s’il s’arrêtait en route. Nous avons besoin d’immobilité, et plus nous réussirons à nous représenter le mouvement comme coïncidant avec les immobilités des points de l’espace qu’il parcourt, mieux nous croirons le comprendre. A vrai dire, il n’y a jamais d’immobilité véritable, si nous entendons par là une absence de mouvement. Le mouvement est la réalité même, et ce que nous appelons immobilité est un certain état de choses analogue à ce qui se produit quand deux trains marchent avec la même vitesse, dans le même sens, sur deux voies parallèles : chacun des deux trains est alors immobile pour les voyageurs assis dans l’autre. Mais une situation de ce genre, qui est en somme exceptionnelle, nous semble être la situation régulière et normale, parce que c’est celle qui nous permet d’agir sur les choses et qui permet aussi aux choses d’agir sur nous : les voyageurs des deux trains ne peuvent se tendre la main par la portière et causer ensemble que s’ils sont « immobiles », c’est-à-dire s’ils marchent dans le même sens avec la même vitesse. L’ «immobilité » étant ce dont notre action a besoin, nous l’érigeons en réalité, nous en faisons un absolu, et nous voyons dans le mouvement | quelque chose qui s’y surajoute. Rien de plus légitime dans la pratique. Mais lorsque nous transportons cette habitude d’esprit dans le domaine de la spéculation, nous méconnaissons la réalité vraie, nous créons, de gaieté de cœur, des problèmes insolubles, nous fermons les yeux à ce qu’il y a de plus vivant dans le réel.

(158|160 / 168||170 / 143|||144)

 

 

5.2.5

[Zeno’s paradoxes of motion confuse the space traversed, which is divisible, with the motion, which is not. For example, Achilles is said to never overtake the Tortoise, because the Tortoise is constantly creating new distances for Achilles to cross. But Achilles’ own motion was not composed of infinitely many movements that endlessly decrease in size. It was made of a series of indivisible steps.]

 

Zeno’s paradoxes of motion confuse movement with the space traversed. Or if they do not make such a simplistic equivalence, they at least treat movement as being divisible like space is, without taking into account that movement is articulated in unitary segments. [Recall the paradox of Achilles and the Tortoise (described at section II.F of this entry, and discussed by Bergson in Time and Free Will §70, Matter and Memory section 4.2.6, and Creative Evolution section 4.5.10.) The Tortoise has a head start at the beginning of its race with Achilles. For Achilles to overtake the Tortoise, he must first arrive upon the Tortoise’s starting position. But by the time he gets there, the Tortoise has already advanced a little further. So now Achilles must arrive upon the Tortoise’s new position. But again, upon arriving upon it, the Tortoise will be further. So long as the Tortoise keeps moving, it will always create a new, more distant position for Achilles to cross. Thus Achilles will never overtake the Tortoise while it keeps moving.] Bergson recalls Zeno’s paradox of Achilles and the Tortoise, where “Achilles, they say, will never overtake the tortoise he is pursuing, for when he arrives at the point where the tortoise was the latter will have had time to go further, and so on indefinitely.” Bergson notes that there have been a great variety of refutations, but he proposes a simple one. He says we need to ask Achilles after he in fact overtakes the Tortoise, how did he do it? He would say that Zeno’s description does not match the way the event transpired. He did not first arrive upon the Tortoises’ first position, then second position, and on and on. Rather, Achilles will say that he took a series of steps until finally overtaking the Tortoise. So his course was a series of indivisible actions. These are the only parts we can divide his whole course into. We should not, like Zeno, divide the acts indefinitely like spatial parts corresponding to the spatial locations of the race track, because the acts are not immobilities like space and they cannot be coordinated point-by-point with an immobility like space.

I need not recall the arguments of Zeno of Elea. They all involve the confusion of movement with the space covered, or at least the conviction that one can treat movement as one treats space, divide it without taking account of its articulations. Achilles, they say, will never overtake the tortoise he is pursuing, for when he arrives at the point where the tortoise was the latter will have had time to go further, and so on indefinitely. Philosophers have refuted this argument in numerous ways, and ways so different that each of these refutations deprives the others of the right to be considered definitive. There would have been, nevertheless, a very simple means of making short work of the difficulty: that would have been to question Achilles. For since Achilles finally catches up to the tortoise and even passes it, he must know better than anyone else how he goes about it. The ancient philosopher who demonstrated the possibility of movement by walking was right: his only mistake was to make the gesture without adding a commentary. Suppose then we ask Achilles to comment on his race: here, doubtless, is what he will answer: “Zeno insists that I go from the point where I am to the point the tortoise ||| has left, from that point to the next point it has left, etc., etc.; that is his procedure for making me run. But I go about it otherwise. I take a first step, then a second, and so on: finally, after a certain number of steps, || I take a last one by which I skip ahead of the tortoise. I thus accomplish a series of indivisible acts. My course is the series of these acts. You can distinguish its parts by the number of steps it involves. But you have not the right to disarticulate it according to another law, or to suppose it articulated in another way. To proceed as Zeno does is to admit that the race can be arbitrarily broken up like the space which has been covered; it is to believe that the passage is in reality applied to the trajectory; it is making movement and immobility coincide and consequently confusing one with the other.”

 

Je n’ai pas besoin de vous rappeler les arguments de Zénon d’Élée. Tous impliquent la confusion du mouvement avec l’espace parcouru, ou tout au moins la conviction qu’on peut traiter le mouvement comme on traite l’espace, le diviser sans tenir compte de ses articulations. Achille, nous dit-on, n’atteindra jamais la tortue qu’il poursuit, car lorsqu’il arrivera au point où était la tortue, celle-ci aura eu le temps de marcher, et ainsi de suite indéfiniment. Les philosophes ont réfuté cet argument de bien des manières, et de manières si différentes que chacune de ces réfutations enlève aux autres le droit de se croire définitives. Il y aurait eu pourtant un moyen très simple de trancher la difficulté : c’eût été d’interroger Achille. Car, puisqu’Achille finit par rejoindre la tortue et même par la dépasser, il doit savoir, mieux que personne, comment il s’y prend. Le philosophe ancien qui démontrait la possibilité du mouvement en marchant était dans le vrai : son seul tort fut de faire le geste sans y joindre un commentaire. Demandons alors à Achille de commenter sa course : voici, sans aucun doute, ce qu’il nous répondra. « Zénon veut que je me rende du point où je suis au point que la tortue a quitté, de celui-ci au point qu’elle a quitté encore, etc. ; c’est ainsi qu’il procède pour me faire courir. Mais moi, pour courir, je m’y prends autrement. Je fais un premier pas, puis un second, et ainsi de suite : finalement, après un certain nombre de pas, j’en fais un dernier par lequel j’enjambe la tortue. J’accomplis | ainsi une série d’actes indivisibles. Ma course est la série de ces actes. Autant elle comprend de pas, autant vous pouvez y distinguer de parties. Mais vous n’avez pas le droit de la désarticuler selon une autre loi, ni de la supposer articulée d’une autre manière. Procéder comme le fait Zénon, c’est admettre que la course peut être décomposée arbitrairement, comme l’espace parcouru ; c’est croire que le trajet s’applique réellement contre la trajectoire ; c’est faire coïncider et par conséquent confondre ensemble mouvement et immobilité. »

(160|161 / 170||171 / 144|||145)

 

 

5.2.6

[Under this erroneous understanding that confuses movement with traversed space, we hold two incompatible metaphysical assumptions: {1} motion is fundamentally a passage between points, and thus it is fundamentally a mobility transpiring between immobilities, and {2} motion is decomposable into nothing more than positions dividing passages (into immobilities), and it is recomposable by taking all these positions together.]

 

Bergson says that this method of decomposition that confuses motion with traversed space is our usual way of understanding movement. It treats motion as if it were constituted by immobilities (spatial positions). And we think we can reconstitute movement by adding all the immobilities together. But at the same time that we decompose movement into positions, we assume as well that there is a passage between any two positions. Yet, how do we conceptualize this passage? By saying it is composed of yet more positions. We want to be able to have both concepts, that there is a mobile passage and that the passage is made of immobile positions. But as we can see, they are conceptually irreconcilable. [Bergson again ends with the notion that immobility is perhaps not even real.]

But that is precisely what our usual method consists in. We argue about movement as though it were made of immobilities and, when we look at it, it is with immobilities that we reconstitute it. Movement for us is a position, then another position, and so on indefinitely. We say, it is true, that there must be something else, and that from one position to another there is the passage by which the interval is cleared. But as soon as we fix our attention on this passage, we immediately make of it a series of positions, even though we still admit that between two successive positions one must indeed assume a passage. We put this passage off indefinitely the moment we have to consider it. We admit that it exists, we give it a name; that is enough for us: once that point has been satisfactorily settled we turn to the positions preferring to deal with them alone. We have an instinctive fear of those difficulties which the vision of movement as movement would arouse in our thought; and quite rightly, once we have loaded movement down with immobilities. If movement is not everything, it is nothing; and if to begin with we have sup- || posed that immobility can be a reality, movement will slip through our fingers when we think we have it.

 

Mais en cela consiste précisément notre méthode habituelle. Nous raisonnons sur le mouvement comme s’il était fait d’immobilités, et, quand nous le regardons, c’est avec des immobilités que nous le reconstituons. Le mouvement est pour nous une position, puis une nouvelle position, et ainsi de suite indéfiniment. Nous nous disons bien, il est vrai, qu’il doit y avoir autre chose, et que, d’une position à une position, il y a le passage par lequel se franchit l’intervalle. Mais, dès que nous fixons notre attention sur ce passage, vite nous en faisons une série de positions, quittes à reconnaître encore qu’entre deux positions successives il faut bien supposer un passage. Ce passage, nous reculons indéfiniment le moment de l’envisager. Nous admettons qu’il existe, nous lui donnons un nom, cela nous suffit : une fois en règle de ce côté, nous nous tournons vers les positions et nous préférons n’avoir affaire qu’à elles. Nous avons instinctivement peur des difficultés que susciterait à notre pensée la vision du mouvement dans ce qu’il a de mouvant ; et nous avons raison, du moment que le mouvement a été chargé par nous d’immobilités. Si le mouvement n’est pas tout, il n’est rien ; et si nous avons d’abord posé que l’immobilité peut être une réalité, le mouvement | glissera entre nos doigts quand nous croirons le tenir.

(161|162 / 171||172 / 145)

 

 

5.2.7

[In fact, all real change is indivisible. We erroneously think that change can be divided into states because indivisible change in the world is practically coordinated with the indivisible change of our inner experience. When our actions need to intervene in the world or when for other practical reasons we coordinate events in the world with events in our minds, we artificially designate stable states in the changes outside and inside us.]

 

Bergson says that this applies to any sort of change whatsoever: “All real change is an indivisible change” / “Tout changement réel est un changement indivisible”. Bergson then explains how it is that we come to erroneously understand real change as being divisible. [His first idea here might be the following, but check the quotation below. We suppose there is some change happening in the world. Let us imagine that we are heating water to a boil. So out in the world there is continuous qualitative change of the water. At the same time, our mind is in a flux of consciousness. These two fluxes flow together in simultaneity (see for example Ch.3 of Duration and Simultaneity.) Now, as the water comes to boil, we get anxious because it might overboil, so we lift the pan off the fire. We then want to say that there were distinct states of the water, namely,  it being below boiling, it being at boiling, and it cooling below boiling. These states correspond to states of our mind: our waiting for it to boil, our alarm when it boils, and our relief when it cools. But in reality, Bergson seems to be saying, the water was never in some determinate, stable state. It was always changing. And our mind was not in any determinate, stable state. It was always a flux of consciousness. But we came to regard the water having states corresponding to the appropriate actions we made with regard to it, and these actions that divided the change serve to mark off seemingly distinct and stable inner states of our experience of the change. So it is simply for practical reasons (our needing to boil the water but not too much) that cause us to delineate states of change in the world and in our inner life. But these immobilities are not really inherent to the world and our mind.]

I have spoken of movement; but I could say the same for any change whatever. All real change is an indivisible change. We like to treat it as a series of distinct states which form, as it were, a line in time. That is perfectly natural. If change is continuous in us and also in things, on the other hand, in order that the uninterrupted change which each of us calls “me” may act upon the uninterrupted change that we call a “thing,” these two changes must find themselves, with regard to one another, in a situation like that of the two trains referred to above. We say, for example, that an object changes color, and that change here consists in a series of shades which would be the constitutive elements of change and which, themselves, would not change. But in the first place, if each shade has any objective existence at all, it is an infinitely rapid oscillation, it is change. And in the second place, the perception we have of it, to the extent that it is subjective, is only an isolated, abstract aspect of the general state of our person, and this state as a whole is constantly changing and causing this so-called invariable perception to participate in its change; in fact, there is no perception which is not constantly being modified. So that color, outside of us, is mobility itself, and our own person is also mobility. But the whole mechanism of our perception of things, like the mechanism of our action upon things has been regulated in such a way as to bring about, between the external and the internal mobility, a situation comparable to that of our two trains, – more complicated, perhaps, but of the same kind: when the || two changes, that of the object and that of the subject, take place under particular conditions, they produce the particular appearance that we call a “state.” And once in possession of “states,” our mind recomposes change with them. I repeat, there is nothing more natural: the breaking up of change into states enables us to act upon things, and it is useful in a practical sense to be interested in the states rather than in the change itself. But what is favourable to action in this case would ||| be fatal to speculation. If you imagine a change as being really composed of states, you at once cause insoluble metaphysical problems to arise. They deal only with appearances. You have closed your eyes to true reality.

 

J’ai parlé du mouvement ; mais j’en dirais autant de n’importe quel changement. Tout changement réel est un changement indivisible. Nous aimons à le traiter comme une série d’états distincts qui s’aligneraient, en quelque sorte, dans le temps. C’est naturel encore. Si le changement est continuel en nous et continuel aussi dans les choses, en revanche, pour que le changement ininterrompu que chacun de nous appelle « moi » puisse agir sur le changement ininterrompu que nous appelons une « chose », il faut que ces deux changements se trouvent, l’un par rapport à l’autre, dans une situation analogue à celle des deux trains dont nous parlions tout à l’heure. Nous disons par exemple qu’un objet change de couleur, et que le changement consiste ici dans une série de teintes qui seraient les éléments constitutifs du changement et qui, elles, ne changeraient pas. Mais, d’abord, ce qui existe objectivement de chaque teinte, c’est une oscillation infiniment rapide, c’est du changement. Et, d’autre part, la perception que nous en avons, dans ce qu’elle a de subjectif, n’est qu’un aspect isolé, abstrait, de l’état général de notre personne, lequel change globalement sans cesse et fait participer à son changement cette perception dite invariable : en fait, il n’y a pas de perception qui ne se modifie à chaque instant. De sorte que la couleur, en dehors de nous, est la mobilité même, et que notre propre personne est mobilité encore. Mais tout le mécanisme de notre perception des choses, comme celui de notre action sur les choses, a été réglé de manière à amener ici, entre la mobilité externe et la mobilité intérieure, une situation comparable à celle de nos deux trains, - plus compliquée, sans doute, mais du même genre : quand les deux changements, celui de l’objet et celui du sujet, ont lieu dans ces conditions particulières, | ils suscitent l’apparence particulière que nous appelons un « état ». Et, une fois en possession d’ « états », notre esprit recompose avec eux le changement. Rien de plus naturel, je le répète : le morcelage du changement en états nous met à même d’agir sur les choses, et il est pratiquement utile de s’intéresser aux états plutôt qu’au changement lui-même. Mais ce qui favorise ici l’action serait mortel à la spéculation. Représentez-vous un changement comme réellement composé d’états : du même coup vous faites surgir des problèmes métaphysiques insolubles. Ils ne portent que sur des apparences. Vous avez fermé les yeux à la réalité vraie.

(162|163 / 172||173 / 146|||147)

 

 

5.2.8

[We can know that change is indivisible, because when we witness it, we experience it as such. Also, all is change, and there are no invariable objects doing those changes.]

 

Bergson offers as proof that whenever we directly view change or a movement, we have a feeling of absolute individuality. Bergson now makes the point that although there are changes, that is all there is. There are no invariable objects undergoing the changes. Even in movements there are no invariable objects that are doing the moving.

I shall not press the point. Let each of us undertake the experiment, let him give himself the direct vision of a change, of a movement: he will have a feeling of absolute indivisibility. I come then to the second point, closely allied to the first. There are changes, but there are underneath the change no things which change: change has no need of a support. There are movements, but there is no inert or invariable object which moves: movement does not imply a mobile.

Je n’insisterai pas davantage. Que chacun de nous fasse l’expérience, qu’il se donne la vision directe d’un changement, d’un mouvement : il aura un sentiment d’absolue indivisibilité. J’arrive alors au second point, qui est très voisin du premier. Il y a des changements, mais il n’y a pas, sous le change­ment, de choses qui changent : le changement n’a pas besoin d’un support. Il y a des mouvements, mais il n’y a pas d’objet inerte, invariable, qui se meuve : le mouvement n’implique pas un mobile.

(163 / 173 / 147, italics in the original, boldface mine)

 

 

5.2.9

[Our vision distinguishes things that come to appear as invariable objects persisting through their changes. But our sense of hearing only gives us the changes. For example, when we hear a melody, the “object” here is the melodic change itself.]

 

Bergson says that we develop the erroneous notion of invariable objects subsisting through change from our primary reliance on vision. Our sight separates things in our visual field, and we come to take those distinguished things as invariable figures. Sight thus prepares the sense of touch for our interactions with the world. But the other senses are better able to give us the world in changefulness. When we hear a melody, we do not perceive an invariable object that is changing but rather the change “is the thing itself”. We know this is so, because if you stop the melody at one point or at another, it is a different thing in each case. So there is no one melody that subsists throughout its changes. And we should not think of the melody being composed of the notes pictured in the score. For this is to understand it as a visualizable object with spatial properties.

It is difficult to picture things in this way, because the sense ‘par excellence’ is the sense of sight, and because the eye has developed the habit of separating, in the visual field, the relatively invariable figures which are then supposed to change place without changing form, movement is taken as super-added to the mobile as an accident. It is, in fact, useful to have to deal in daily life with objects which are stable and, as it were, responsible, to which one can address oneself as to persons. The sense of sight contrives to take things in this way: as an ad- || vance-guard for the sense of touch, it prepares our action upon the external world. But we already have less difficulty in perceiving movement and change as independent realities if we appeal to the sense of hearing. Let us listen to a melody, allowing ourselves to be lulled by it: do we not have the clear perception of a movement which is not attached to a mobile, of a change without anything changing? This change is enough, it is the thing itself. And even if it takes time, it is still indivisible; if the melody stopped sooner it would no longer be the same sonorous whole, it would be another, equally indivisible. We have, no doubt, a tendency to divide it and to picture, instead of the uninterrupted continuity of melody, a juxtaposition of distinct notes. But why? Because we are thinking of the discontinuous series of efforts we should be making to recompose approximately ||| the sound heard if we were doing the singing, and also because our auditory perception has acquired the habit of absorbing visual images. We therefore listen to the melody through the vision which an orchestra-leader would have of it as he watched its score. We picture notes placed next to one another upon an imaginary piece of paper. We think of a keyboard upon which some one is playing, of the bow going up and down, of the musicians, each one playing his part along with the others. If we do not dwell on these spatial images, pure change remains, sufficient unto itself, in no way divided, in no way attached to a “thing” which changes.

 

On a de la peine à se représenter ainsi les choses, parce que le sens par excellence est celui de la vue, et que l’œil a pris l’habitude de découper, dans l’ensemble du champ visuel, des figures relativement invariables qui sont censées | alors se déplacer sans se déformer : le mouvement se surajouterait au mobile comme un accident. Il est en effet utile d’avoir affaire, tous les jours, à des objets stables et, en quelque sorte, responsables, auxquels on s’adresse comme à des personnes. Le sens de la vue s’arrange pour prendre les choses de ce biais : éclaireur du toucher, il prépare notre action sur le monde exté­rieur. Mais déjà nous aurons moins de peine à percevoir le mouvement et le changement comme des réalités indépendantes si nous nous adressons au sens de l’ouïe. Écoutons une mélodie en nous laissant bercer par elle : n’avons-nous pas la perception nette d’un mouvement qui n’est pas attaché à un mobile, d’un changement sans rien qui change ? Ce changement se suffit, il est la chose même. Et il a beau prendre du temps, il est indivisible : si la mélodie s’arrêtait plus tôt, ce ne serait plus la même masse sonore ; c’en serait une autre, égale­ment indivisible. Sans doute nous avons une tendance à la diviser et à nous représenter, au lieu de la continuité ininterrompue de la mélodie, une juxtapo­sition de notes distinctes. Mais pourquoi ? Parce que nous pensons à la série discontinue d’efforts que nous ferions pour recomposer approximativement le son entendu en chantant nous-mêmes, et aussi parce que notre perception auditive a pris l’habitude de s’imprégner d’images visuelles. Nous écoutons alors la mélodie à travers la vision qu’en aurait un chef d’orchestre regardant sa partition. Nous nous représentons des notes juxtaposées à des notes sur une feuille de papier imaginaire. Nous pensons à un clavier sur lequel on joue, à l’archet qui va et qui vient, au musicien dont chacun donne sa partie à côté des autres. Faisons abstraction de ces images spatiales : il reste le changement pur, se suffisant à lui-même, nullement divisé, nullement attaché à une « chose » qui change.

(163|164 / 173||174 / 147|||148)

 

 

5.2.10

[Science decomposes things down into smaller and smaller particles understood increasingly in terms of their movements and vibrations. When we see something, we might think it is an invariable object. But that image is composed of tiny dots of color, each itself a light frequency and thus a movement.]

 

Bergson returns to sight to make the point that it is not necessary for us to only see invariable objects. Science decomposes things down into smaller and smaller things, understood more in terms of their motion than their substantiality. Bergson then notes that when we see something moving, the parts of our vision are colored spots, which are made of a “series of extremely rapid vibrations”. [I am not certain, but perhaps he is referring to something like the frequency of the light waves. See 165 / 175 / 148.]

 

 

5.2.11

[Change itself is the only thing with any substantiality in the sense of being something that endures. There are no other invariabilities. We see this with our inner life, which is a pure continuous flux like a melody. We are mistaken to think that there is a series of discrete and distinct psychic states modifying an invariable ego as substrate.]

 

Bergson says that we most encounter the “substantiality” of change in our inner life. [By substantiality he does not mean the invariable objects but change itself being the only thing that could qualify as a substrate, because change itself is the only thing that endures.] He says that certain theories of personality assume two things about consciousness, both being incorrect, and as a result they encounter a number of conceptual problems. The first incorrect assumption is that we have “a series of distinct psychological states, each one invariable”. [He also says that this series of states is thought to produce  variations of the ego by their very succession”. It is not stated whether or not the ego’s variations are a series of discrete invariable states, but I would guess they would be, as that is the form the cause takes.] The second incorrect assumption is that we have an invariable ego which “would serve as support” for the psychic variations. He first wonders how the unity of the ego could meet up with the multiplicity of the psychic variations. He next wonders how either one could have duration. Consider the flux of psychic states. Here change is superadded (s’y surajoute). [I am not sure what is meant here. I am going to guess it is the following, but please consult the text. There is only flux, which means at any present there is a variation. But what it is varying against is not present. In order to say there was change, we need to add to the present variation the past and/or future situations in order to say that a change transpires. Thus it is hard to say how the flux has duration, because in itself it is only a present variation and not something that itself endures.] Now consider the invariable ego. The ego is made of elements which do not change. [I am not sure what those elements are. Perhaps they are psychic structures of some kind.] So if its elements are invariable, how can it be said to endure? [Apparently only variable things can endure, but I am not sure why. Perhaps invariable things like structures are not temporal but some sort of idealized abstraction.] Bergson then claims that neither assumption is true. There is only the continuously varying “melody” of our inner life, and this is what constitutes our personality. [In other words, we have no stable ego.]

But nowhere is the substantiality of change so visible, so palpable as in the domain of the inner life. Difficulties and contradictions of every kind to which the theories of personality have led come from our having imagined, on the one hand, a series of distinct psychological ||| states, each one invariable, which would produce the variations of the ego by their very succession, and on the other hand an ego, no less invariable, which would serve as support for them. How could this unity and this multiplicity meet? How, without either of them having duration – the first because change is something superadded, the second because it is made up of elements which do not change – how could they constitute an ego which endures? But the truth is that there is neither a || rigid, immovable substratum nor distinct states passing over it like actors on a stage. There is simply the continuous melody of our inner life, – a melody which is going on and will go on, indivisible, from the beginning to the end of our conscious existence. Our personality is precisely that.

 

Mais nulle part la substantialité du changement n’est aussi visible, aussi palpable, que dans le domaine de la vie intérieure. Les difficultés et contra­dictions de tout genre auxquelles ont abouti les théories de la personnalité viennent de ce qu’on s’est représenté, d’une part, une série d’états psycholo­giques distincts, chacun invariable, qui produiraient les variations du moi par leur succession même, et d’autre part un moi, non moins invariable, qui leur servirait de support. Comment cette unité et cette multiplicité pourraient-elles se rejoindre ? comment, ne durant ni l’une ni l’autre – la première parce que le changement est quelque chose qui s’y surajoute, la seconde parce qui elle est faite d’éléments qui ne changent pas – pourraient-elles constituer un moi qui dure ? Mais la vérité est qu’il n’y a ni un substratum rigide immuable ni des états distincts qui y passent comme des acteurs sur une scène. Il y a simple­ment la mélodie continue de notre vie intérieure, – mélodie qui se poursuit et se poursuivra, indivisible, du commencement à la fin de notre existence consciente. Notre personnalité est cela même.

(165-166 / 175-176 / 148-149)

 

 

5.2.12

[This indivisible continuity of change that we directly experience as being fundamental to our awareness is real duration or time proper. But we normally conceive time erroneously as being spatial, like the note symbols of a melody juxtaposed simultaneously side-by-side on the musical staff.]

 

Bergson has been describing an “indivisible continuity of change”. He claims that “this is precisely what constitutes true duration.” Many might object that this notion of duration is “something inexpressible and mysterious.” But in fact this duration is “the clearest thing in the world” [because we experience it directly every moment of our consciousness.] We can think of real duration as time, so long as we qualify that it is “time perceived as indivisible.” [Now, time is often understood as being a matter of succession.] But although duration is time, we should not think of it as succession. Succession is understood as a matter of moments coming before and after, each being set beside the other. [Bergson might here, when mentioning simultaneity, be noting that this setting beside one another of moments makes them simultaneous when really they are not. See the quote below.] When we hear a melody, we have the impression that it cannot be broken up. So we should not think of the melody being broken up into notes set side-by-side and thus not in terms of this spatialized sort of succession. By putting the note symbols into the space of the musical staff, we might erroneously come to believe that the melody itself is something composed of spatially simultaneous parts. Bergson then acknowledges that we normally live our lives in the spatialized time. But real duration is something going on deep inside us. His last point might be that real duration is a single, universal time that happens exclusively in the present and that makes possible the extending changes we notice inside and outside us.]

This indivisible continuity of change is precisely what constitutes true duration. I cannot here enter into the detailed examination of a question I have dealt with elsewhere. I shall confine myself therefore to saying, in reply to those for whom this “real duration” is something inexpressible and mysterious, that it is the clearest thing in the world: real duration is what we have always called time, but time perceived as indivisible. That time implies succession I do not deny. But that succession is first presented to our consciousness, like the distinction of a “before” and “after” set side by side, is what I cannot admit. When we listen to a melody we have the purest impression of succession we could possibly have, – an impression as far removed as possible from that of simultaneity, – and yet it is the very continuity of the melody and the impossibility of breaking it up which make that impression upon us. If we cut it up into distinct notes, into so many “befores” and “afters,” we are bringing spatial images into it and impregnating the succession with simultaneity: in space, and only in space, is there a clear-cut distinction of parts external to one another. I recognize moreover that it is in spatialized time that we ordinarily place ourselves. We have no interest in listening to the uninterrupted ||| humming of life’s depths. And yet, that is where real duration is. Thanks to it, the more or less lengthy changes || we witness within us and in the external world, take place in a single identical time.

 

C’est justement cette continuité indivisible de changement qui constitue la durée vraie. Je ne puis entrer ici dans l’examen approfondi d’une question que j’ai traitée ailleurs. Je me bornerai donc à dire, pour répondre à ceux qui voient dans cette durée « réelle » je ne sais quoi d’ineffable et de mystérieux, qu’elle est la chose la plus claire du monde : la durée réelle est ce que l’on a toujours appelé le temps, mais le temps perçu comme indivisible. Que le temps impli­que la succession, je n’en disconviens pas. Mais que la succession se présente d’abord à notre conscience comme la distinction d’un « avant » et d’un « après » juxtaposés, c’est ce que je ne saurais accorder. Quand nous écoutons une mélodie, nous avons la plus pure impression de succession que nous puissions avoir, – une impression aussi éloignée que possible de celle de la simultanéité, – et pourtant c’est la continuité même de la mélodie et l’impos­sibilité de la décomposer qui font sur nous cette impression. Si nous la découpons en notes distinctes, en autant d’ « avant » et d’« après » qu’il nous plaît, c’est que nous y mêlons des images spatiales et que nous imprégnons la succession de simultanéité : dans l’espace, et dans l’espace seulement, il y a distinction nette de parties extérieures les unes aux autres. Je reconnais d’ailleurs que c’est dans le temps | spatialisé que nous nous plaçons d’ordinaire. Nous n’avons aucun intérêt à écouter le bourdonnement ininterrompu de la vie profonde. Et pourtant la durée réelle est là. C’est grâce à elle que prennent place dans un seul et même temps les changements plus ou moins longs aux­quels nous assistons en nous et dans le monde extérieur.

(166-167 / 176-177 / 149-150)

 

 

5.2.13

[Only change is real. There are no invariable things doing the changing.]

 

So both internal and external reality is “mobility itself”. There is change without things doing the changing.

Thus, whether it is a question of the internal or the external, of ourselves or of things, reality is mobility itself. That is what I was expressing when I said that there is change, but that there are not things which change.

 

Ainsi, qu’il s’agisse du dedans ou du dehors, de nous ou des choses, la réalité est la mobilité même. C’est ce que j’exprimais en disant qu’il y a du changement, mais qu’il n’y a pas de choses qui changent.

(167 / 177 / 150)

 

 

5.2.14

[Some might feel dizzy when contemplating the idea that reality has no fixed points of immobility. But we can obtain a sense of orientation by seeing that change itself is the most substantial and durable thing possible.]

 

Many will object to the notion that all is change, because they will not be able to deal with the disorienting feeling. Bergson assures such people that they can ground their sense of reality in change itself, which is “the most substantial and durable thing possible”.

Before the spectacle of this universal mobility there may be some who will be seized with dizziness. They are accustomed to terra firma; they cannot get used to the rolling and pitching. They must have “fixed” points to which they can attach thought and existence. They think that if everything passes, nothing exists; and that if reality is mobility, it has already ceased to exist at the moment one thinks it, – it eludes thought. The material world, they say, is going to disintegrate, and the mind will drown in the torrent-like flow of things. – Let them be reassured! Change, if they consent to look directly at it without an interposed veil, will very quickly appear to them to be the most substantial and durable thing possible. Its solidity is infinitely superior to that of a fixity which is only an ephemeral arrangement between mobilities. I have come, in fact, to the third point to which I should like to draw your attention.

 

Devant le spectacle de cette mobilité universelle, quelques-uns d’entre nous seront pris de vertige. Ils sont habitués à la terre ferme ; ils ne peuvent se faire au roulis et au tangage. Il leur faut des points « fixes » auxquels attacher la pensée et l’existence. Ils estiment que si tout passe, rien n’existe ; et que si la réalité est mobilité, elle n’est déjà plus au moment où on la pense, elle échappe à la pensée. Le monde matériel, disent-ils, va se dissoudre, et l’esprit se noyer dans le flux torrentueux des choses. – Qu’ils se rassurent ! Le changement, s’ils consentent à le regarder directement, sans voile interposé, leur apparaîtra bien vite comme ce qu’il peut y avoir au monde de plus substantiel et de plus durable. Sa solidité est infiniment supérieure à celle d’une fixité qui n’est qu’un arrangement éphémère entre des mobilités. J’arrive ici, en effet, au troisième point sur lequel je voulais attirer votre attention.

(167 / 177 / 150)

 

 

5.2.15

[We need to change our notion of the past, which says that just the present is real and that the past can only survive when remembered in the present.]

 

Bergson says that if we accept that “change is real and even constitutive of reality”, we will need to understand the past differently than we normally do. Usually we think that only the present exists, and the past can only survive when it is remembered in the present. In a sense, memory would be “storing them [certain parts of the past] away in a kind of box.” Bergson says this is a “profound mistake” (167-167 / 177-178 / 150-151).

 

 

[Sections 5.2.16-5.2.23 are excluded from this summary.]

 

 

 

 

 

Bergson, Henri. 1938 [3rd edition, 1990]. La pensée et le mouvant: Essais et conférences. Paris: Quadridge / PUF.

Available online at:

http://catalogue.bnf.fr/ark:/12148/cb372379203

Another version available at:

http://classiques.uqac.ca/classiques/bergson_henri/pensee_mouvant/pensee_mouvant.html

 

Bergson, Henri. 1946. The Creative Mind. English translation by Mabelle L. Andison. Westport, Connecticut: Greenwood.

 

Bergson, Henri. 1965. An Introduction to Metaphysics: The Creative Mind. English translation by Mabelle L. Andison. Totowa, New Jersey: Rowman & Allanheld.

 

 

 

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16 May 2017

Deleuze’s Francis Bacon: The Logic of Sensation, entry directory

 

by Corry Shores

 

[Search Blog Here. Index tabs are found at the bottom of the left column.]

 

[Central Entry Directory]

[Art and Aesthetics, entry directory]

[Gilles Deleuze, entry directory]

[Francis Bacon (painter), entry directory]

 

 

 

 

Entry Directory for

 

Gilles Deleuze

 

Francis Bacon: The Logic of Sensation

 

 

 

 

 

Particular References in the text

 

Deformed Heads. "Crosseyed and Painless" by the Talking Heads

 

Appearance & Indeterminacy: Wölfflin's Explanation of 'Malerisch', or 'Painterly'


Figural Studies: Lyotard's Distinction between the Figural and the Figurative (figural, figuratif)

 

The Glue of Chaos: Isomorphism, Diagram, and Analogy in the Semiology of Charles Sanders Peirce

 

Variations on a Line: Wilhelm Worringer's Northern Line (Gothic Line)

 

Difference and Sensation: Further Elaborations of Deleuze's Diagram, Aesthetic Analogy, and Modulation

 

 

 

Other Resources

 

Paintings Cited in Deleuze's Francis Bacon: The Logic of Sensation [shows the paintings]

 

Deleuze on Bacon Painting Series [index of paintings without display]

 

Francis Bacon (painter), entry directory

 

Bacon’s interviews with David Sylvester, entry directory

 

Difference & Sensation: Further Elaborations of Deleuze's Diagram, Aesthetic Analogy, and Modulation

 

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19 Apr 2017

O Mayeux, '[2403] "of between us : / it was good or leather'

 

by Corry Shores

 

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

 

[Central Entry Directory]

[Literature, Poetry, Drama, entry directory]

[Asemic Writing, entry directory]

[O Mayeux, entry directory]

 

 

 

 

O Mayeux

 

Artefacts

 

‘[2403] “of between us : / it was good or leather’

 

 

O Mayeux is a poet and linguistics scholar at the University of Cambridge. He writes poems and processes them using a software program that rearranges the typology to produce new “asemic” poems. I found his  ‘[2403] “of between us : / it was good or leather’, featured at The New Post-literate: A Gallery Of Asemic Writing, to be especially powerful when I tried reading it.

   

I am interested in the phenomenology of the literary experience. There is an affective element to the literary or poetic experience that may be hard to analyze on account of the complexity of the mental states. Normally our acts of literary awareness involve the conceptual and imagistic components evoked by the texts. These components can distract us from the affective element.

00003

There is  a similar sort of idea in Gilles Deleuze’s treatment of Francis Bacon. Bacon writes that “the moment there are … several figures on the same canvas – the story begins to be elaborated. And the moment the story is elaborated, the boredom sets in; the story talks louder than the paint” (Bacon & Sylvester 1987: 22). When reading O Mayeux’s poem, I experienced strong affects without the distraction of other layers of my awareness. Just as the experience of Bacon’s paintings is like a phenomenological reduction to the raw experience of sensation, perhaps such asemic writing as O Mayeux’s can as well present a  phenomenological reduction to the affective components of poetic experience.

 

I invite you to try to read the poem to see if you can feel certain intensities in the sounds. It is perhaps like Deleuze’s notion of stuttering. This work  also brings out the intensities of punctuation. I find Clifford Duffy’s poems also very powerful in these ways, too. See for example his “war machine the ...” [my comments],  his “remand” and “turf” [my comments], “fantasy 2010 labour work” [my comments] and “cărbune” [my comments].

 

 

 

 

 

Works:

 

O Mayeux.  ‘[2403] “of between us : / it was good or leather’.  From Artefacts. Image taken from (and used with the author’s permission):

http://thenewpostliterate.blogspot.com.tr/2017/04/oliver-mayeux-2403-of-between-us-it-was.html

 

Also:

Bacon, Francis & David Sylvester. The Brutality of Fact: Interviews with Francis Bacon. New York: Thames & Hudson, 1987.

More information from the publisher here:

http://www.thamesandhudson.com/9780500274750.html

 

 

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7 Jan 2017

Uexküll (3.9) Theoretical Biology, “Summary [of chapter 3]”, summary


by Corry Shores

[Search Blog Here. Index tabs are found at the bottom of the left column.]

[Central Entry Directory]
[Jakob von Uexküll, entry directory]
[Uexküll, Theoretical Biology, entry directory]

[The following is summary. All boldface and bracketed commentary is my own. Proofreading is incomplete, so please forgive my typos. Page citations refer to the 1928 German edition first and to the 1926 English edition second. Note: German terms are repeatedly inserted to facilitate comparison with translations of other Uexküll texts.]




Summary of

Jakob von Uexküll

Theoretical Biology
[Theoretische Biologie]

Ch.3 The Content-Qualities
[Die Inhaltsqualitäten]

3.9 Summary [of Chapter 3]
[Überblick]



Brief summary:
We have discovered, in addition to time and space, a third a priori form preceding and prestructuring experience, namely, the “scales” of content-qualities, like color or sonic tonal scales, which form quality-circles. Unlike time and space, which can be intuited, we need to geometrically represent content-quality scales to make them intuitable. There is a law saying that there is a predetermined and limited number of perceptible qualities, and there is another law saying that the qualities admit of progressive, intensive variation along a continuum or series. The experience of these qualities leaves “mark-signs” in our consciousness. We can only know the mark-signs we ourselves have. Our appearance-world is made of these mark-signs, so we only have access to our own phenomenal world. However, as biologists we are interested in the worlds and lives of other animals. Corresponding to each mark-sign for a quality is an “indication” in the world, which is the feature or property of the object to which we attribute that experienced quality. Since we as observers can sense what surrounds the animal, we have access to many of the properties in those surroundings, and thus we have access to some number of indications in that animal’s own world of experience. Our access to their indications is limited however to the way they appear to us as mark-signs in our own appearance-worlds. Nonetheless, we can still indirectly develop a little more knowledge of the animal’s inner life and experiential world. On the basis of the anatomy of the animal’s sensory-organs, it forms quality-scales that are basically the same as the ones our sensory-organs make, although the specific indications found in those scales will probably be different. By conducting behavioral experiments and anatomical studies of the animals, we can determine many of the indications that it is sensitive to and the scales that these indications form. If there are indications that we also are sensitive to (like shades of color visible to both us and the animal), then we can focus just on our own mark-signs for those qualities to give us a limited picture of what it is like to have certain sorts of perceptual experiences that this animal has and what it is like to live in their world, which appears in accordance with its scales of quality. However, as biologists, we should maintain a scientific (objective) stance in relation to the animal and remain as outside observers of its inner life.



Summary

§406
[Space, time, and content-qualities are forms of knowledge that precede experience. The first two can be directly intuited, but the third must be represented extensively (using geometrical figures) to make it more intuitable.]

Time and space are forms of knowledge that precede experience, and they can be intuited directly. In this chapter we have studied another sort of form that precedes experience, namely, the content-qualities [Inhaltsqualitäten], which cannot be directly intuited. But by placing them into spatial relations [as by means of geometrical diagrams], we can bring them more under our intuition.
To space and time, the forms of our knowledge which are present before all experience, we have to add the forms of the content-qualities [Inhaltsqualitäten], which cannot be intuited directly. As we have seen, they can be brought nearer to intuition by transference into spatial relations, as has already been done in the case of time, of which our extensive experience is direct.
(71 / 84, bracketed insertion mine)


§407
[Thus we must expand upon Kant’s doctrine where only time and space were considered.]

[For Kant there were just time and space as such a priori representations, so] we must expand Kant’s doctrine to include all these other a priori quality forms preceding experience.
On this point, therefore, we must expand Kant's doctrine, and show that for all kinds of qualities there are forms which | are present entirely a priori and precedent to all experience ; and these appoint to each quality, as soon as it appears, a fixed position in a system.
(71 / 84-85)


§408
[We have neglected these forms because they lack a good name. The best we have so far is “scale”.]

One reason these a priori forms have been neglected is that they lack names like time and space have. The best term we have is “scale” as in musical scale, a color scale, a scale of smell. We might also use “ladder” (71 / 85).


§409
[The forms and number of qualities is limited.]

We also saw that for each “quality-material [Qualitätsmaterial]” there are fixed forms, and also the number of individual qualities within these forms is limit and it precedes all experience. This is another way we must expand Kant’s doctrine (71 / 85).


§410
[The number of qualities might be like a maximum, and certain individuals may be insensitive to some of them. This is a law of the pure theory of knowledge.]

[The next idea seems to be that there could be variance for the number of qualities perceivable by each individual, however, there is still a maximum number possible for all individuals. Please consult the quotation to be sure:]
Even if the absolute number of qualities changes with each subject, and the determination of the number in individual cases is left to psychology — or shall we say, to biology ? — (it is not at all necessary that the particular subject should actually experience all the qualities present in its forms), nevertheless the law that the number of qualities present is absolute is a law of the pure theory of knowledge.
(71 / 85)


§411
[The second law of quantities is that they admit of intensive variation along a linear continuum or series.]

[Apparently another law is that qualities have intensive variations in the sense that they can increase in a linear fashion. Again, please consult the quotation to be sure.]
The second law of “increase in one direction” relates to the arrangement of the qualities within their particular form. This is likewise a law of the theory of knowledge.
(71 / 85)


§412
[To each quality corresponds a “mark-sign” in our consciousness, which allows us to compare qualities and our forms.]

Each quality places in our mind a sign, called a “mark-sign”. This allows us to compare the qualities and their forms with one another.
The possibility of comparing with one another the different qualities and their forms, depends on the fact that each quality leaves behind it in our consciousness a sign [Zeichen] — the “mark-sign [“Merkzeichen”].”
(71 / 85, bracketed insertions mine)


§413
[We can know our own mark-signs and thus our own appearance-world. However, we cannot know the inner experiences of other creatures. This means that at best we can determine some of its indications in its Umwelt and the forms they take in the structures of their awareness. To take another step toward understanding their inner life, we can focus on those indications we share, trying to obtain the mark-signs that the animal must also have.]

We can know the qualities of our own experience, and on the basis of the sensations we have, we can construct a “world-picture” of our appearance-world. But we do not have access to the qualities of experience in other creatures. This means we do not have access to their appearance-world. We instead only have access their Umwelt, their surrounding-world, which is “built up from our own qualities”. We also do not know the mark-signs (the specific perceived qualities) of other beings, because we again are not able to get inside their minds and have their experiences. Instead, the best we can do is determine (experimentally) what properties of our own appearance-world, that is, which of our own mark-signs, have some value as indications in the Umwelten of the other animals. [It then seems like Uexküll in the final line suggests that in order to understand the animal’s inner life better, we need to treat those indications we know it has as our own qualities. If that is so, I wonder how we might do that.]
In every instance where the qualities are known to us — i.e. strictly speaking, only in our own case — we may construct the world-picture [Weltbild] directly from the objectivated sensations of the subject. Here the subject faces his appearance-world [Erscheinungswelt] directly. Where we are denied a glimpse into the qualities | of the subject, we should not speak of an appearance-world [Erscheinungswelt], but only of a surrounding-world [Umwelt] built up from our own qualities. Since knowledge of the other subject's “mark-signs” [Merkzeichen] is denied us also, we are confined to determining what properties of our appearance-world [Erscheinungswelt] have value as “indications” [Merkmale]”  in the surrounding-world [Umwelt] of an animal. These indications [Merkmale] (which must become mark-signs [Merkzeichen] for us, if we are to experience anything of them at all), we shall treat like our own qualities, so far as possible, and arrange them in the forms given us a priori.
(72 / 85-86, bracketed insertions mine)


§414
[We are justified in assuming we can have indirect access to the inner life of the animal using this technique, because we know that their sensory organs unify quality-circles that we more or less share.]

[I am not sure I understand the next point. He seems to be saying that the anatomical structures of the sense organs of animals are what unify the indications the animals are sensitive too. Perhaps the idea is that the eyes for example bring into quality-circles scales of color, the ears scales of sound, and so on. Our own awareness unifies such scales as well (although perhaps with different mark-signs, like how dogs see fewer colors than we do). The fact that we (somehow) know that animal sense organs unifies the quality-circles into scales that we more or less have in common justifies us thinking that when we consider the animal’s mark-signs, we can better know their inner life. For, we know basically the quality ranges and quality relations that they have for certain stimuli that we both share. Let me quote, as I am unsure I got that:]
We see a justification for this proceeding in the fact that the anatomical structure of the sense-organs of animals brings together as a unity those indications [Merkmale] that our attention [Aufmerksamkeit] also treats as a unified quality-circle [Qualitätenkreis].
(72 / 86, bracketed insertions mine)


§415
[But so long as our interests are biological in a scientific sense, we should never cease observing the animal from the outside (of its own experience).]

But even though we can have this glimpse into the inner lives of the animals [by taking on some of their mark-signs], we should always maintain a scientific stance where we observe them from the outside.
Nevertheless, we should never forget that, so long as we are concerned with biology, we must not for an instant desert our posts as observers from the outside.
(72 / 86)
[Were we concerned with phenomenology, however, we would try to push these penetrating techniques as far as possible!]




Works cited (in this order):

Uexküll, Jakob von. 1928. Theoretische Biologie, 2. gänzlich neu bearbeitete Auflage. Berlin: Springer.

Uexküll, Jakob von. 1926. Theoretical Biology. Translated by Doris Livingston MacKinnon. London: Kegan Paul, Trench, Trubner & Co. / New York: Harcourt, Brace & Company. PDF available at:
http://www.archive.org/details/theoreticalbiolo00uexk


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5 Jan 2017

Uexküll (3.2) Theoretical Biology, “The Form of the Quality-Circles”, summary


by Corry Shores

[Search Blog Here. Index tabs are found at the bottom of the left column.]

[Central Entry Directory]
[Jakob von Uexküll, entry directory]
[Uexküll, Theoretical Biology, entry directory]

[The following is summary. All boldface and bracketed commentary is my own. Proofreading is incomplete, so please forgive my typos. Page citations refer to the 1928 German edition first and to the 1926 English edition second. Note for this section: I do not yet have the original 1920 German first edition on which the translation seems to have been based. So some references to prior sections will refer just to the English edition for now.]




Summary of

Jakob von Uexküll

Theoretical Biology
[Theoretische Biologie]

Ch.3 The Content-Qualities
[Die Inhaltsqualitäten]

3.2 The Form of the Quality-Circles
[Die Form der Qualitätskreise]



Brief summary:
We obtain sense data from various nerves, along with local signs telling us the spatial location of the stimulus and as well moment-signs telling us the temporal location. For each location there can only be one quality datum, or “content-quality”, and thus there cannot be contradictory qualities in the same location. The perceived space around us forms spheres of larger sizes, with us at the center. So we can think of there being content-qualities occupying spatial locations along a spatial circle haloing around us. But qualities can also take on circular relations of intensity. This is evident with the quality circle for color. As we move from red to yellow, there is between them a continuum of color mixture. From yellow we go to green, but since green is qualitatively very different from the red-yellow spectrum, we can think of the yellow-green continuum as moving in another direction. We turn yet another direction to go from green to blue. What comes after blue in the color spectrum is violet, which is a mixture of red and blue. Thus we turn from blue back toward red to complete our circle.



Summary

§369
[In chapter 1 we noted that the animal’s perception of space is like a series of larger and larger spheres centered on the creature.]

[The first couple paragraphs of this section will summarize some ideas from prior sections. Not all of the prior sections correspond between this English translation and the German edition I am using, presumably because the English edition is based on the German first edition, which I do not currently have access to. As such, I will refer to the English pages primarily to summarize these points. Uexküll begins this section by saying that in order to investigate the appearance-worlds [Erscheinungswelten] of others, we need to have an exact knowledge of our own (62 / 72). He then refers to an idea from the first chapter on space. One notion from the section “The Space of Animals / Die Räume der Tiere” (36 / 40) is that we can think of animals having a sphere of space surrounding them that is “like an invisible soap-bubble” (62 / 72). In this earlier section, he addresses the question, ‘What does space look like that surrounds animals?’ (??? / 40). We first need to create a diagram for human space, and then we modify it “according to the faculties of the animal under investigation” (??? / 40). To do this we should first note the idea of local signs. The basic idea is that our nerve endings give us qualities, like touch sensations. But they also tell us where on the body the sensation is coming from. These spatial indicators are called local signs [Lokalzeichen] (5 / 2). (See their description by Lotze here. The basic idea in that context is that the sense data coming from the nerves is not enough to provide spatial relations between the data. And thus we would not know how to spatially arrange the data in our minds. What is also needed are the local signs which give us those spatialized relations between impulse sources.) I am not certain, but I get the sense that the local signs are indicative not simply of the bodily location of the nervous stimulus but as well can be indicative of spatial features of the stimulus source out in the world. So perhaps for example there are local signs to tell us when a visual stimulus comes more from the distance, but I am not sure. “Direction-signs” involve the relation between local signs. “The sensation of direction comes in only when one local sign strikes up while the others most nearly related to it have not yet quite died away [...]. [...] what we call ‘motion’ is only that change in quality which is connected with the quality of direction.” (7 / 6) “I call that which connects local signs a direction sign” (???{cf.11} / 6). (In other words, if a tactile stimulus moves from one nerve on our skin to another located somewhere else on our skin, the relation between the local sign for the beginning place and that of the ending place gives us a direction of the movement of the stimulus). We return now to the space of animals and humans. Uexküll has us consider there being three circular pieces of cardboard, and we intersect them along the three planes of direction (??? /40-41). (I suppose we have one lying flat horizontally. The other two will stand upright vertically. So the second of the three circles will be vertical facing forward, while the third will be vertical at a right angle to the second, with all three of them sharing the same center-point. The three circles give us the main directions: forward-backward, up-down, and right-left.) We then place spheres of increasing size emanating from the center-point. There will be small spheres near the center that are placed close to one another. As we move outward to larger spheres, the distance between them increases. This distance between the spheres represents the discernible layers of depth. We are most sensitive to the distances in front of us, so we can differentiate the layers more precisely. This is why the spheres nearest us are closer together. But as we go further away, we are less able to make such precise determinations of distance. And, “Each sphere has just as many places on it as there are local signs available. Hence there are much fewer to the same surface of the larger and more distant spheres than there are on the smaller ones close at hand” (??? / 41). (The idea here might be that since the only way we have to differentiate spatial properties of the stimuli is by means of local signs, then there are just as many locations in the sphere as there are local signs for distinguishing them. Now if we consider geometrically how the rays of an angle grow further apart as they move into the distance, then we can imagine that the locations on the more distant spheres are also spaced further apart. “Place” is like all the locations on each spherical surface along one ray, standing one behind the other. “Position” is the location upon one such sphere. Position might instead just be like a designation of the sphere itself, which makes a coordinate with the place, or it might be that coordinate itself. I am not sure. The next idea might be that we can also transpose the places in our perception with places of the world understood according to more of a homogeneously metrical, decentralized understanding of space, as it is understood objectively in physics.) But space as we experience it, or “intuited space,” is what concerns us in biology (??? / 42). Humans have the three planes of direction (the three cardboard circles), but other animals may have just two or one. They may even have none and instead work only with the line of the horizon. For humans the larger and larger spheres are related also to our motor behaviors and thus we can use them to think of steps-into-distance. When studying other animals we should also look at their capacities for making steps-into-distance with respect to their spatial perception. We also must learn the number and distribution of the places in the animals space. (??? / 42). The next idea in this earlier section takes us to the notion of the soap bubble which is relevant to the current section we are examining. The idea seems to be that there is something like an a priori sort of representation of space in animals in the sense that the creature has a certain outer limit to their perception of space, but they assume there is more space beyond that boundary and that it will become apparent upon moving toward it. In this way, we can think of each animal being surrounded by a “soap-bubble” into which parts of the world enter as it moves its bubble around.
Every spatial animal world, however limited as regards places and steps-into-distance, and even though it be without planes of direction, is nevertheless surrounded by the pure extended, which, as necessary form, precedes all space-creating. The extended lies immediately behind the last step-into-distance. So the space peculiar to each animal, wherever that animal may be, can be compared to a soap-bubble which completely surrounds the creature at a greater or less distance. The soap-bubble of the extended constitutes for the animal the limit of what for it is finite, and therewith the limit of its world; what lies behind that is hidden in infinity.
(??? / 42)
So returning again to the current section, Uexküll says that we can describe the space around an animal as being like an invisible soap-bubble [Seifenblase] (62 / 72). After reminding us of a few features of animal space, he notes that “The laws of the content-qualities of our mind are as changeless as the spatial laws of our appearance-world [Erscheinungswelt]” (63 / 72, bracketed insertion mine. See pages 22-23 / 14-16).]
A preliminary condition for the investigation of the appearance-worlds of others is an exact knowledge of our own. In the first chapter, which dealt with the spatial qualities, we succeeded in forming an idea of space that permitted us to describe around every animal a space like an invisible soap-bubble, within which all its activities were carried on. A number of fixed places give support for its sense-organs, and a definite number of direction-steps give the measurement of the magnitudes, and determine the movement of its limbs. The direction of movement is fixed, in many cases, by immutable direction-planes. The laws of the content-qualities of our mind are as changeless as the spatial laws of our appearance-world [Erscheinungswelt].
(62-63 / 72, bracketed insertion mine)


§370
[We will study the ways that the content-qualities work in our minds by seeing them in action.]

Uexküll, again referring to past sections, says that we cannot simply learn the laws that regulate our own mind, because “The activity of our qualities consists in constructing our appearance-world [Erscheinungswelt]” (63 / 72, bracketed insertion mine). [The idea seems to be that the laws of the organization of the qualities given to our senses only come to light when we see that organizational process. Let me quote.] “Considered by themselves, all our qualities seem just a confused heap of building-materials, all more or less alike. The laws are revealed only when the work of construction is in progress” (63 / 72).


§371
[Content-qualities are found at particular locations by means of local signs. The same place cannot have contradictory content-qualities.]

[The next idea seems to be that the content-qualities coordinate with spatial locations by means of the local signs. Perhaps we might consider looking at a painting. Different spatial locations (corresponding perhaps somehow to different optical nerve locations) give us different color qualities. What is important to emphasize here is that for each location there can only be one content-quality for each sense modality. In other words, one location cannot have contradictory qualities.]
When the content-qualities are fitted into the local signs, fixed places appear, having definite properties. And now the outline of a fundamental law is revealed. The “circles” of relationship, which were but faintly indicated in the original material, can be de-limited one from another. Each place, that is to say, can receive only one property from each quality-circle. A certain place may be blue-green, but never blue | and green. It may be of medium hardness, but never both hard and soft; it may be lukewarm, but never both hot and cold at the same time.
(63 / 72-73)
[I am not sure I understand the idea of the quality-circles. Given that they are related to local sigs, perhaps they would be like qualities located on one spatial sphere. Or perhaps the circle is meant simply to give a non-spatial sort of indication of relations. I am not certain.]


§372
[Given that there can only be one content-quality per place, that means you cannot have two different related qualities in the same place.]

[The next idea seems to reinforce the prior one regarding there being just one content-quality per place. Now the notion emphasizes that the appearance of a quality at one place prevents there being a related quality at the same place. Let me quote to be sure:]
This circumstance (i.e. that at each place properties from all the relationship circles may be assembled, but never more than one single quality from each) shows that the qualities of each circle are connected together by law in such a way that the appearance of one quality excludes the simultaneous appearance of a related quality at the same place.
(63/73)


§373
[We can consider the content-qualities extensively as occupying spatially a place in an extensive quality-circle, or we can think of content-qualities occupying an intensive quality-circle.]

[The next idea seems to be the following, but since I am uncertain, please consult the quotation to follow. We so far have considered the extensive spatial relations between the quality contents, as their spatial relations are given by means of the local signs. There is also the matter of intensive differences between the content qualities. We will now form intensive quality-circles so to study their laws. Let me quote, as there is more to this that I am missing:]
As soon as it enters into activity, the material of our mental qualities reveals a form governed by law, which form may enter into appearance along with space and time, or must especially be sought out for the content-qualities. Since only the form of the extensive quality-circles of the local signs and direction-signs is given by intuition, we must try to include within that extensive form the intensive quality-circles, in order to arrive at a clear idea of the laws governing them. To admit of comparison between the extensive qualities themselves, we have already expressed in spatial terms the form of the moment-signs, which is not intuited; and so we shall now attempt to represent in terms of space the other quality-circles likewise.
(63 / 73)


§374
[We can arrange the relations between colors as being on a spectrum but one that wraps around upon itself. The color mixtures can take a hexagonal form.]

Uexküll has us consider if we view a color spectrum. [Let us consider this manner of presenting one:
visible color spectrum soho nasa
] Uexküll says when we look at it, “four fixed points immediately strike our eye, at which certain colours emerge pure from the mixture,” namely, pure yellow, red, green, and blue. But between every two points of pure color there is a continuum of color mixture. So we begin with two, the red and the yellow. We will now make our own diagram for these color quality relations. We have fixed yellow and red as points of pure color.
Uexkull. Theoretical Biology. Fig1.Eng.ColorSquare.PS.Vb
And we can draw a straight line between them to represent the continuum of mixture between them (with a color-band added in the diagram below).
Uexkull. Theoretical Biology. Fig1.Eng.ColorSquare.PS.Wb
[The next observation is interesting. Uexküll seems to be saying that the difference between these two color points varies continuously and linearly. But as we go to a third color, it is not on that same continuum of variation. He does not explain why, but it seems that it has something to do with the qualitative difference that defies quantitative variations of more and less. In other words, we can say that between yellow and red is a range of variations of yellow-red mixtures, but when we move further to green, there is not a continuation that carries forward a larger range of red-green mixtures (As I understand, if you mix red and green light, you get yellow. But maybe the idea here is that we do not perceive yellow as somehow being between green and red, although we perceive orange as being between yellow and red, because it seems to have qualities of both). Rather, we are starting a new mixture sequence, and for this reason he depicts the variations as taking a right turn.]
We cannot carry the straight line from the red any further, for here we are dealing no longer with red-yellow colours, but with colours that are a mixture of yellow and green. To express the difference, we must give the line a new direction. So we shall place the green point below the yellow and connect these two by means of a line representing the colours that are a mixture of yellow and green.
(64 / 74)
Uexkull. Theoretical Biology. Fig1.Eng.ColorSquare.PS.Xb
This holds again for the next sequence between green and blue.
Uexkull. Theoretical Biology. Fig1.Eng.ColorSquare.PS.Yb
At this point Uexküll makes another interesting observation, namely, that as we go further from blue in the linear spectrum, we move into violet, which is a mixture of blue and red. This brings us then back to red.
Uexkull. Theoretical Biology. Fig1.Eng.ColorSquare.PS.Zb
As we can see from this wheel portrayal, the spectrum can be understood as circular.
circle spectrum
Uexküll describes further modifications:
So we may bring back the line from the blue point straight to the red. In this way we get a square, on which we may set equilateral pyramids, one above and one below; this gives a hexagon. The apex of the upper pyramid shall be white and that of the lower one black. While all the angles of the hexagon carry pure colours, on each of the edges will lie colours arising from a mixture of two. The faces of the hexagon, on the other hand, will display colours formed by mixture of three colours, which radiate outwards, in diminishing strength, from the three angles surrounding each face. If we make a transverse section through a face, we can always tell at what level the single colours lie above one another, in order to produce in this way all possible mixed colours.
(64 / 74)
[I can imagine combining two pyramids with a square base to them, placing them base-to-base, so to form an eight-sided diamond-like figure. But I do not know how to obtain a hexagon from that. Perhaps the “equilateral pyramids” are triangular on all faces, and perhaps furthermore they are placed together offset so that their bases taken together create the six points of a hexagon. So it might perhaps resemble something along the lines of this diagram.
color wheel hexigon(And possibly furthermore we are to think of the top pyramid having pure tones at its base, but tapering continuously to white at the apex, and the bottom one tapering to black. I am not sure however why they would converge at a point. Maybe the top pyramid represents the combination of colors as light and the bottom as the combination of colors as pigments. If it were just to show light and dark variations of each color hue, I would think they would not converge at a center but rather rise up and down like in a cylinder.) But in that case of combining pyramids with triangular bases, I am not sure how to situate them in relation to the original square we drew. So I am not certain about the shape Uexküll is forming.]


§375
[This hexagonal arrangement provides a visualization of the laws of the color-quality circle.]

This color hexagon depicts the laws in the circle of the color-qualities (64 / 74). [The laws seem to be the laws of color relations, including those of mixing.]




Works cited (in this order):

Uexküll, Jakob von. 1928. Theoretische Biologie, 2. gänzlich neu bearbeitete Auflage. Berlin: Springer.

Uexküll, Jakob von. 1926. Theoretical Biology. Translated by Doris Livingston MacKinnon. London: Kegan Paul, Trench, Trubner & Co. / New York: Harcourt, Brace & Company. PDF available at:
http://www.archive.org/details/theoreticalbiolo00uexk


Other image sources:

Visible color spectrum, linear:
SOHO (Solar and Helospheric Observatory). “Making your cerealbox spectroscope.” https://soho.nascom.nasa.gov/classroom/spectroscope.html

Color spectrum wheel:
Programming Design Systems. “Computational Color”. http://printingcode.runemadsen.com/lecture-color/

Color wheel with hexagon:
Artfactory.com. “Color Terms for Art and Design, I”.
http://www.artyfactory.com/color_theory/color_terms_1.htm



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