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Current 25 November 2009

Peirce on phenomenology

Peirce's central focus as a philosopher was logic, which he came to identify with semiotic. But as he often pointed out (CP 1.191, 2.120, 2.197, 5.39, 8.242, 8.297), logic depends on phenomenology, which ‘ascertains and studies the kinds of elements universally present in the phenomenon; meaning by the phenomenon, whatever is present at any time to the mind in any way’ (CP 2.186, 1903). In October 1904, Peirce wrote to William James that ‘I am not sure that it will do to call this science phenomenology owing to Hegel's Phänomenologie being somewhat different.’ His later writings usually called this science phaneroscopy, ‘the description of the phaneron’ (CP 1.284) – which he defined in the Supplement to the Century Dictionary as

Whatever is in any sense present to the mind, whatever its cognitive value may be, and whether it be objectified or not. A term proposed by C. S. Peirce in order to avoid loading ‘phenomenon,’ ‘thought,’ ‘idea,’ etc., with multiple meanings.
Terminological questions aside, the ‘elements universally present in the phenomenon’ or phaneron turn out to be the three ‘categories’ (Firstness, Secondness, Thirdness) which formed the core of Peirce's philosophy from 1867 on.

Since Peirce's time, the term phenomenology has become associated with a philosophical tradition founded by Edmund Husserl and continuing through Heidegger, Merleau-Ponty and others. Evan Thompson's Mind in Life (2007) exemplifies more recent developments in this tradition, in relation to current biology and neuroscience. Thompson (2007, 474) defines phenomenology broadly as ‘any systematic project of investigating and describing experience’, where ‘experience’ is consciousness of the phenomenon. You might say that ‘experience’ is the subjective side of the phenomenon, while ‘phenomenon’ is the objective side of experience; but this would not do for Peirce's phenomenology, since distinctions such as subjective/objective do not apply to the phaneron, which he describes as a continuum without parts. Of phenomenology, he said in his 1903 Harvard Lectures that ‘I will not restrict it to the observation and analysis of experience but extend it to describing all the features that are common to whatever is experienced or might conceivably be experienced or become an object of study in any way direct or indirect’ (CP 5.37).

To what extent was Peirce's ‘phenomenology’ similar to that of Husserl, Merleau-Ponty, Thompson et al.? I won't try to answer that question here, but instead refer the reader to the following articles, which also deal with the place of Peirce's phaneroscopy in his classification of the sciences:


The selections from Peirce given below should give the reader some idea of his phenomenological methods. The first and last also deal with the subject in relation to mathematics.

  1. Blue Glasses, CP 1.133-4, c. 1894
  2. The Bottomless Lake of Consciousness, CP 7.547, c. 1900
  3. The Inkstand, CP 8.144, 1900 [This passage addresses the question of what ‘immediate’ experience really is; Peirce's entry on Representationism in Baldwin's Dictionary of Philosophy and Psychology (1902) addresses that question from another angle.]
  4. the Doctrine of Categories, CP 1.280, 1902
  5. From phenomenology through representation to logic, CP 1.521-39, from Lowell Lectures of 1903
  6. The Phaneron, CP 1.284-7, 1904-5
  7. Indecomposable Elements, from EP2:366-70 (CP 1.317-21), 1905
  8. On ‘the contents of my consciousness’, EP2:472, 1913
  9. Kainopythagorean Categories, CP 7.524-538 (undated)

Blue Glasses

Evan Thompson writes:
Although subjective experience is intimate and familiar, it hardly follows that its phenomenal character is easy to specify. We need to distinguish between what seems intuitively obvious and what requires careful phenomenological analysis to discern.
— Thompson (2007, 279)
Peirce preferred to focus on the character of the phenomenon rather than the phenomenal character of subjective experience, but perhaps the difference is more terminological than substantial; and in the following passage on ‘the observational part of philosophy’ (CP 1.133-4, c. 1894), he certainly agrees with Thompson that the nature of ordinary experience is not ‘easy to specify.’ He begins by acknowledging the importance of mathematics in philosophy:
133. Every science has a mathematical part, a branch of work that the mathematician is called in to do. We say, ‘Here, mathematician, suppose such and such to be the case. Never you mind whether it is really so or not; but tell us, supposing it to be so, what will be the consequence.’ Thus arise mathematical psychology, mathematical stylometry, mathematical economics, mathematical physics, mathematical chemistry, mathematical meteorology, mathematical biology, mathematical geology, mathematical astronomy, etc., etc., etc. But there is none of these mathematical offices which constitutes quite so large a proportion of the whole science to which it is annexed as mathematical philosophy, for the obvious reason that the observational part of philosophy is a simple business, compared, for example, with that of anatomy or biography, or any other special science.

To assume, however, that the observational part of philosophy, because it is not particularly laborious, is therefore easy, is a dreadful mistake, into which the student is very apt to fall, and which gives the death-blow to any possibility of his success in this study. It is, on the contrary, extremely difficult to bring our attention to elements of experience which are continually present. For we have nothing in experience with which to contrast them; and without contrast, they cannot excite our attention. We can only contrast them with imaginary states of things; but even what we imagine is but a crazy-quilt of bits snipped off from actual experiences. The result is that roundabout devices have to be resorted to, in order to enable us to perceive what stares us in the face with a glare that, once noticed, becomes almost oppressive with its insistency. This circumstance alone would be sufficient to render philosophical observation difficult — much more difficult, for example, than the kind of observation which the painter has to exercise. Yet this is the least of the difficulties of philosophy. Of the various hindrances more serious still, I may mention once more the notion that it is an extremely easy thing to perceive what is before us every day and hour. But quite the worst is, that every man becomes more or less imbued with philosophical opinions, without being clearly aware of it. Some of these, it is true, may be right opinions; if he is a quite uneducated man, they doubtless will be so. But even if they are right, or nearly right, they prevent true observation as much as a pair of blue spectacles will prevent a man from observing the blue of the sky. The man will hold the right opinion, but not knowing that it might be founded upon direct observation, he will class it among articles of faith of a pretty dubious character. The more a man is educated in other branches, but not trained in philosophy, the more certain it is that two-thirds of his stock of half-conscious philosophical opinions will be utterly wrong, and will completely blind him to the truth, which he will gradually become unable so much as to conceive. I remember a really eminent French savant, who had sojourned for very many months in America, but who must have imbibed in his childhood the notion, then common in France, that Englishmen and Americans interject into every second sentence a certain word which the French imagine to be English. He belonged to one of the most observant of races; he was naturally a keen observer; and he was trained in an observational science; and yet, in order to assimilate himself as much as possible to American ways, he used to think it necessary to greet one every morning with a ‘How do you do, goddam?’ and to keep it up all day. He actually believed that he had observed that such was the American style. The educated man who is a beginner in philosophy is just like that man, who (be it remembered) had been moving about in America for years;— and by a beginner in philosophy I wish to be understood as meaning, in the case of an educated man, one who has not been seriously, earnestly, and single-mindedly devoted to the study of it for more than six or eight years. For there is no other science for which the preparatory training requires to be nearly so severe and so long, no matter how great the natural genius of the student may be. For a plain man or a boy who should be early taken in hand by an instructor capable of making him comprehend both sides of every question, the time, without doubt, can be greatly reduced, with untiring industry and energy on the pupil's part.


The Bottomless Lake

In some unpublished notes written around 1900, Peirce refers to certain psychological experiments he had carried out. In describing this investigation into ‘the elements of consciousness,’ Peirce uses the word ‘reflex’ as we would use ‘reflective’; what he here calls ‘reflex consciousness, or self-consciousness’ is what psychologists now call ‘meta-awareness’ (Thompson 2007, 19), metacognition, self-consciousness, or often simply ‘consciousness.’ Under this usage, theorists today generally agree that most of our mental life goes on below the conscious level. Peirce, on the other hand, here refers to the whole of that ‘psychical’ life as ‘consciousness,’ describing it as a bottomless lake of which only the ‘upper layer’ is visible. What goes on below that layer may be what Thompson refers to as ‘prereflective bodily self-consciousness’ (2007, 260). CP 7.547, c. 1900:
The general upshot of all these experiments, together with others which I have not time to describe, was that when you ask yourself what is in your mind at any moment, and give yourself an answer, even after a searching scrutiny of the field of consciousness, you have not begun to tell yourself the whole truth. For it is one thing to feel a thing and it is another thing to have a reflex feeling, that there is a feeling; and my experiments conclusively show that the consciousness must reach a considerable vividness before the least reflex feeling of it is produced. That it is really felt is shown by the fact that a greater effort of attention would detect it. There is as it were, an upper layer of consciousness to which reflex consciousness, or self-consciousness, is attached. A moderate effort of attention for a second or two only brings a few items into that upper layer. But all the time the attention lasts, thousands of other ideas, at different depths of consciousness, so to speak, that is, literally, of different degrees of vividness, are moving upwards. These may influence our other thoughts long before they reach the upper layer of reflex consciousness. There are such vast numbers of ideas in consciousness of low degrees of vividness, that I think it may be true,— and at any rate is roughly true, as a necessary consequence of my experiments,— that our whole past experience is continually in our consciousness, though most of it sunk to a great depth of dimness. I think of consciousness as a bottomless lake, whose waters seem transparent, yet into which we can clearly see but a little way. But in this water there are countless objects at different depths; and certain influences will give certain kinds of those objects an upward impulse which may be intense enough and continue long enough to bring them into the upper visible layer. After the impulse ceases they commence to sink downwards.

Peirce's method here, consisting of ‘a greater effort of attention’ to the less evident contents of consciousness, is not so very different from the Husserlian method of ‘epoché’ or ‘suspending one's inattentive immersion in experience’ (Thompson 2007, 19). Just how much Peirce and Husserl actually differ on this topic would be difficult to say, except for someone deeply immersed in both.


The Inkstand

The following paragraph (excerpted from Peirce's review of Pearson's Grammar of Science) may throw some light on how perception, introspection and phenomenological investigation differ from one another. CP 8.144 (1900):
The remainder of this chapter on the “Facts of Science” is taken up with a theory of cognition, in which the author falls into the too common error of confounding psychology with logic. He will have it that knowledge is built up out of sense-impressions — a correct enough statement of a conclusion of psychology. Understood, however, as Professor Pearson understands and applies it, as a statement of the nature of our logical data, of “the facts of science,” it is altogether incorrect. He tells us that each of us is like the operator at a central telephone office, shut out from the external world, of which he is informed only by sense-impressions. Not at all! Few things are more completely hidden from my observation than those hypothetical elements of thought which the psychologist finds reason to pronounce “immediate,” in his sense. But the starting point of all our reasoning is not in those sense-impressions, but in our percepts. When we first wake up to the fact that we are thinking beings and can exercise some control over our reasonings, we have to set out upon our intellectual travels from the home where we already find ourselves. Now, this home is the parish of percepts. It is not inside our skulls, either, but out in the open. It is the external world that we directly observe. What passes within we only know as it is mirrored in external objects. In a certain sense, there is such a thing as introspection; but it consists in an interpretation of phenomena presenting themselves as external percepts. We first see blue and red things. It is quite a discovery when we find the eye has anything to do with them, and a discovery still more recondite when we learn that there is an ego behind the eye, to which these qualities properly belong. Our logically initial data are percepts. Those percepts are undoubtedly purely psychical, altogether of the nature of thought. They involve three kinds of psychical elements, their qualities of feelings, their reaction against my will, and their generalizing or associating element. But all that we find out afterward. I see an inkstand on the table: that is a percept. Moving my head, I get a different percept of the inkstand. It coalesces with the other. What I call the inkstand is a generalized percept, a quasi-inference from percepts, perhaps I might say a composite-photograph of percepts. In this psychical product is involved an element of resistance to me, which I am obscurely conscious of from the first. Subsequently, when I accept the hypothesis of an inward subject for my thoughts, I yield to that consciousness of resistance and admit the inkstand to the standing of an external object. Still later, I may call this in question. But as soon as I do that, I find that the inkstand appears there in spite of me. If I turn away my eyes, other witnesses will tell me that it still remains. If we all leave the room and dismiss the matter from our thoughts, still a photographic camera would show the inkstand still there, with the same roundness, polish and transparency, and with the same opaque liquid within. Thus, or otherwise, I confirm myself in the opinion that its characters are what they are, and persist at every opportunity in revealing themselves, regardless of what you, or I, or any man, or generation of men, may think that they are. That conclusion to which I find myself driven, struggle against it as I may, I briefly express by saying that the inkstand is a real thing. Of course, in being real and external, it does not in the least cease to be a purely psychical product, a generalized percept, like everything of which I can take any sort of cognizance.

The Doctrine of Categories

In his ‘Minute Logic’ of 1902, Peirce identified Phenomenology as one of three ‘orders’ of ‘necessary philosophy’ (CP 1.280):
The first of these is Phenomenology, or the Doctrine of Categories, whose business it is to unravel the tangled skein [of] all that in any sense appears and wind it into distinct forms; or in other words, to make the ultimate analysis of all experiences the first task to which philosophy has to apply itself. It is a most difficult, perhaps the most difficult, of its tasks, demanding very peculiar powers of thought, the ability to seize clouds, vast and intangible, to set them in orderly array, to put them through their exercises. The mere reading of this sort of philosophy, the mere understanding of it, is not easy. Anything like a just appreciation of it has not been performed by many of those who have written books. Original work in this department, if it is to be real and hitherto unformulated truth, is—not to speak of whether it is difficult or not—one of those functions of growth which every man, perhaps, in some fashion exercises once, some even twice, but which it would be next to a miracle to perform a third time.

From phenomenology through representation to logic

from the Lowell Lectures of 1903, CP 1.521-39:

Kinds of Secondness

Very wretched is the notion of [the categories] that can be conveyed in one lecture. They must grow up in the mind, under the hot sunshine of hard thought, daily, bright, well-focussed, and well-aimed thought; and you must have patience, for long time is required to ripen the fruit. They are no inventions of mine. Were they so, that would be sufficient to condemn them. Confused notions of these elements appear in the first infancy of philosophy, and they have never entirely been forgotten. Their fundamental importance is noticed in the beginning of Aristotle's De Caelo, where it is said that the Pythagoreans knew of them.

In Kant they come out with an approach to lucidity. For Kant possessed in a high degree all seven of the mental qualifications of a philosopher:

  1. The ability to discern what is before one's consciousness.
  2. Inventive originality.
  3. Generalizing power.
  4. Subtlety.
  5. Critical severity and sense of fact.
  6. Systematic procedure.
  7. Energy, diligence, persistency, and exclusive devotion to philosophy.

But Kant had not the slightest suspicion of the inexhaustible intricacy of the fabric of conceptions, which is such that I do not flatter myself that I have ever analyzed a single idea into its constituent elements.

Hegel, in some respects the greatest philosopher that ever lived, had a somewhat juster notion of this complication, though an inadequate notion, too. For if he had seen what the state of the case was, he would not have attempted in one lifetime to cover the vast field that he attempted to clear. But Hegel was lamentably deficient in that fifth requisite of critical severity and sense of fact. He brought out the three elements much more clearly [than Kant did]; but the element of Secondness, of hard fact, is not accorded its due place in his system; and in a lesser degree the same is true of Firstness. After Hegel wrote, there came fifty years that were remarkably fruitful in all the means for attaining that fifth requisite. Yet Hegel's followers, instead of going to work to reform their master's system, and to render his statement of it obsolete, as every true philosopher must desire that his disciples should do, only proposed, at best, some superficial changes without replacing at all the rotten material with which the system was built up.

I shall not inflict upon you any account of my own labors. Suffice it to say that my results have afforded me great aid in the study of logic.

I will, however, make a few remarks on these categories. By way of preface, I must explain that in saying that the three, Firstness, Secondness, and Thirdness, complete the list, I by no means deny that there are other categories. On the contrary, at every step of every analysis, conceptions are met with which presumably do not belong to this series of ideas. Nor did an investigation of them occupying me for two years reveal any analysis of them into these as their constituents. I shall say nothing further about them, except incidentally.

As to the three universal categories, as I call them, perhaps with no very good reason for thinking that they are more universal than the others, we first notice that Secondness and Thirdness are conceptions of complexity. That is not, however, to say that they are complex conceptions. When we think of Secondness, we naturally think of two reacting objects, a first and a second. And along with these, as subjects, there is their reaction. But these are not constituents out of which the Secondness is built up. The truth is just reverse, [in] that the being a first or a second or the being a reaction each involves Secondness. An object cannot be a second of itself. If it is a second, it has an element of being what another makes it to be. That is, the being a second involves Secondness. The reaction still more manifestly involves the being what another makes a subject to be. Thus, while Secondness is a fact of complexity, it is not a compound of two facts. It is a single fact about two objects. Similar remarks apply to Thirdness.

This remark at once leads to another. The Secondness of the second, whichever of the two objects be called the second, is different from the Secondness of the first. That is to say it generally is so. To kill and to be killed are different. In case there is one of the two which there is good reason for calling the first, while the other remains the second, it is that the Secondness is more accidental to the former than to the latter; that there is more or less approach to a state of things in which something, which is itself first, accidentally comes into a Secondness that does not really modify its Firstness, while its second in this Secondness is something whose being is of the nature of Secondness and which has no Firstness separate from this. It must be extremely difficult for those who are untrained to such analyses of conceptions to make any sense of all this. For that reason, I shall inflict very little of it upon you — just enough to show those who can carry what I say in their minds that it is by no means nonsense. The extreme kind of Secondness which I have just described is the relation of a quality to the matter in which that quality inheres. The mode of being of the quality is that of Firstness. That is to say, it is a possibility. It is related to the matter accidentally; and this relation does not change the quality at all, except that it imparts existence, that is to say, this very relation of inherence, to it. But the matter, on the other hand, has no being at all except the being a subject of qualities. This relation of really having qualities constitutes its existence. But if all its qualities were to be taken away, and it were to be left quality-less matter, it not only would not exist, but it would not have any positive definite possibility — such as an unembodied quality has. It would be nothing at all.

Thus we have a division of seconds into those whose very being, or Firstness, it is to be seconds, and those whose Secondness is only an accretion. This distinction springs out of the essential elements of Secondness. For Secondness involves Firstness. The concepts of the two kinds of Secondness are mixed concepts composed of Secondness and Firstness. One is the second whose very Firstness is Secondness. The other is a second whose Secondness is second to a Firstness. The idea of mingling Firstness and Secondness in this particular way is an idea distinct from the ideas of Firstness and Secondness that it combines. It appears to be a conception of an entirely different series of categories. At the same time, it is an idea of which Firstness, Secondness, and Thirdness are component parts, since the distinction depends on whether the two elements of Firstness and Secondness that are united are so united as to be one or whether they remain two. This distinction between two kinds of seconds, which is almost involved in the very idea of a second, makes a distinction between two kinds of Secondness; namely, the Secondness of genuine seconds, or matters, which I call genuine Secondness, and the Secondness in which one of the seconds is only a Firstness, which I call degenerate Secondness; so that this Secondness really amounts to nothing but this, that a subject, in its being a second, has a Firstness, or quality. It is to be remarked that this distinction arose from attending to extreme cases; and consequently subdivision will be attached to it according to the more or less essential or accidental nature of the genuine or the degenerate Secondness. With this distinction Thirdness has nothing to do, or at any rate has so little to do that a satisfactory account of the distinction need not mention Thirdness.

I will just mention that among Firstnesses there is no distinction of the genuine and the degenerate, while among Thirdnesses we find not only a genuine but two distinct grades of degeneracy.

The Firstness of Firstness, Secondness, and Thirdness

But now I wish to call your attention to a kind of distinction which affects Firstness more than it does Secondness, and Secondness more than it does Thirdness. This distinction arises from the circumstance that where you have a triplet you have three pairs; and where you have a pair, you have two units. Thus, Secondness is an essential part of Thirdness though not of Firstness, and Firstness is an essential element of both Secondness and Thirdness. Hence there is such a thing as the Firstness of Secondness and such a thing as the Firstness of Thirdness; and there is such a thing as the Secondness of Thirdness. But there is no Secondness of pure Firstness and no Thirdness of pure Firstness or Secondness. When you strive to get the purest conceptions you can of Firstness, Secondness, and Thirdness, thinking of quality, reaction, and mediation — what you are striving to apprehend is pure Firstness, the Firstness of Secondness — that is what Secondness is, of itself — and the Firstness of Thirdness. When you contrast the blind compulsion in an event of reaction considered as something which happens and which of its nature can never happen again, since you cannot cross the same river twice, when, I say, you contrast this compulsion with the logical necessitation of a meaning considered as something that has no being at all except so far as it actually gets embodied in an event of thought, and you regard this logical necessitation as a sort of actual compulsion, since the meaning must actually be embodied, what you are thinking of is a Secondness involved in Thirdness.

A Firstness is exemplified in every quality of a total feeling. It is perfectly simple and without parts; and everything has its quality. Thus the tragedy of King Lear has its Firstness, its flavor sui generis. That wherein all such qualities agree is universal Firstness, the very being of Firstness. The word possibility fits it, except that possibility implies a relation to what exists, while universal Firstness is the mode of being of itself. That is why a new word was required for it. Otherwise, "possibility" would have answered the purpose.

As to Secondness, I have said that our only direct knowledge of it is in willing and in the experience of a perception. It is in willing that the Secondness comes out most strongly. But it is not pure Secondness. For, in the first place, he who wills has a purpose; and that idea of purpose makes the act appear as a means to an end. Now the word means is almost an exact synonym to the word third. It certainly involves Thirdness. Moreover, he who wills is conscious of doing so, in the sense of representing to himself that he does so. But representation is precisely genuine Thirdness. You must conceive an instantaneous consciousness that is instantly and totally forgotten and an effort without purpose. It is a hopeless undertaking to try to realize what consciousness would be without the element of representation. It would be like unexpectedly hearing a great explosion of nitroglycerine before one had recovered oneself and merely had the sense of the breaking off of the quiet. Perhaps it might not be far from what ordinary common sense conceives to take place when one billiard ball caroms on another. One ball ‘acts’ on the other; that is, it makes an exertion minus the element of representation. We may say with some approach to accuracy that the general Firstness of all true Secondness is existence, though this term more particularly applies to Secondness in so far as it is an element of the reacting first and second. If we mean Secondness as it is an element of the occurrence, the Firstness of it is actuality. But actuality and existence are words expressing the same idea in different applications. Secondness, strictly speaking, is just when and where it takes place, and has no other being; and therefore different Secondnesses, strictly speaking, have in themselves no quality in common. Accordingly, existence, or the universal Firstness of all Secondness, is really not a quality at all. An actual dollar to your credit in the bank does not differ in any respect from a possible imaginary dollar. For if it did, the imaginary dollar could be imagined to be changed in that respect, so as to agree with the actual dollar. We thus see that actuality is not a quality, or mere mode of feeling. Hence Hegel, whose neglect of Secondness was due chiefly to his not recognizing any other mode of being than existence — and what he calls existenz is a special variety of it merely — regarded pure being as pretty much the same as nothing. It is true that the word ‘existence’ names, as if it were an abstract possibility, that which is precisely the not having any being in abstract possibility; and this circumstance, when you look upon existence as the only being, seems to make existence all but the same as nothing.

To express the Firstness of Thirdness, the peculiar flavor or color of mediation, we have no really good word. Mentality is, perhaps, as good as any, poor and inadequate as it is. Here, then, are three kinds of Firstness, qualitative possibility, existence, mentality, resulting from applying Firstness to the three categories. We might strike new words for them: primity, secundity, tertiality.

There are also three other kinds of Firstness which arise in a somewhat similar way; namely, the idea of a simple original quality, the idea of a quality essentially relative, such as that of being ‘an inch long’; and the idea of a quality that consists in the way something is thought or represented, such as the quality of being manifest.

I shall not enter into any exact analysis of these ideas. I only wished to give you such slight glimpse as I could of the sort of questions that busy the student of phenomenology, merely to lead up to Thirdness and to the particular kind and aspect of Thirdness which is the sole object of logical study. I want first to show you what genuine Thirdness is and what are its two degenerate forms. Now we found the genuine and degenerate forms of Secondness by considering the full ideas of first and second. Then the genuine Secondness was found to be reaction, where first and second are both true seconds and the Secondness is something distinct from them, while in degenerate Secondness, or mere reference, the first is a mere first never attaining full Secondness.

Let us proceed in the same way with Thirdness. We have here a first, a second, and a third. The first is a positive qualitative possibility, in itself nothing more. The second is an existent thing without any mode of being less than existence, but determined by that first. A third has a mode of being which consists in the Secondnesses that it determines, the mode of being of a law, or concept. Do not confound this with the ideal being of a quality in itself. A quality is something capable of being completely embodied. A law never can be embodied in its character as a law except by determining a habit. A quality is how something may or might have been. A law is how an endless future must continue to be.

Now in genuine Thirdness, the first, the second, and the third are all three of the nature of thirds, or thought, while in respect to one another they are first, second, and third. The first is thought in its capacity as mere possibility; that is, mere mind capable of thinking, or a mere vague idea. The second is thought playing the role of a Secondness, or event. That is, it is of the general nature of experience or information. The third is thought in its role as governing Secondness. It brings the information into the mind, or determines the idea and gives it body. It is informing thought, or cognition. But take away the psychological or accidental human element, and in this genuine Thirdness we see the operation of a sign.

Every sign stands for an object independent of itself; but it can only be a sign of that object in so far as that object is itself of the nature of a sign or thought. For the sign does not affect the object but is affected by it; so that the object must be able to convey thought, that is, must be of the nature of thought or of a sign. Every thought is a sign. But in the first degree of degeneracy the Thirdness affects the object, so that this is not of the nature of a Thirdness — not so, at least, as far as this operation of degenerate Thirdness is concerned. It is that the third brings about a Secondness but does not regard that Secondness as anything more than a fact. In short it is the operation of executing an intention. In the last degree of degeneracy of Thirdness, there is thought, but no conveyance or embodiment of thought at all. It is merely that a fact of which there must be, I suppose, something like knowledge is apprehended according to a possible idea. There is an instigation without any prompting. For example, you look at something and say, ‘It is red.’ Well, I ask you what justification you have for such a judgment. You reply, ‘I saw it was red.’ Not at all. You saw nothing in the least like that. You saw an image. There was no subject or predicate in it. It was just one unseparated image, not resembling a proposition in the smallest particular. It instigated you to your judgment, owing to a possibility of thought; but it never told you so. Now in all imagination and perception there is such an operation by which thought springs up; and its only justification is that it subsequently turns out to be useful.

Now it may be that logic ought to be the science of Thirdness in general. But as I have studied it, it is simply the science of what must be and ought to be true representation, so far as representation can be known without any gathering of special facts beyond our ordinary daily life. It is, in short, the philosophy of representation.


The Phaneron

CP 1.284-7 (the first paragraph from the ‘Adirondack Lectures’ of 1905, the rest from 1904):
Phaneroscopy is the description of the phaneron; and by the phaneron I mean the collective total of all that is in any way or in any sense present to the mind, quite regardless of whether it corresponds to any real thing or not. If you ask present when, and to whose mind, I reply that I leave these questions unanswered, never having entertained a doubt that those features of the phaneron that I have found in my mind are present at all times and to all minds. So far as I have developed this science of phaneroscopy, it is occupied with the formal elements of the phaneron. I know that there is another series of elements imperfectly represented by Hegel's Categories. But I have been unable to give any satisfactory account of them.

English philosophers have quite commonly used the word idea in a sense approaching to that which I give to phaneron. But in various ways they have restricted the meaning of it too much to cover my conception (if conception it can be called), besides giving a psychological connotation to their word which I am careful to exclude. The fact that they have the habit of saying that ‘there is no such idea’ as this or that, in the very same breath in which they definitely describe the phaneron in question, renders their term fatally inapt for my purpose.

There is nothing quite so directly open to observation as phanerons; and since I shall have no need of referring to any but those which (or the like of which) are perfectly familiar to everybody, every reader can control the accuracy of what I am going to say about them. Indeed, he must actually repeat my observations and experiments for himself, or else I shall more utterly fail to convey my meaning than if I were to discourse of effects of chromatic decoration to a man congenitally blind. What I term phaneroscopy is that study which, supported by the direct observation of phanerons and generalizing its observations, signalizes several very broad classes of phanerons; describes the features of each; shows that although they are so inextricably mixed together that no one can be isolated, yet it is manifest that their characters are quite disparate; then proves, beyond question, that a certain very short list comprises all of these broadest categories of phanerons there are; and finally proceeds to the laborious and difficult task of enumerating the principal subdivisions of those categories.

It will be plain from what has been said that phaneroscopy has nothing at all to do with the question of how far the phanerons it studies correspond to any realities. It religiously abstains from all speculation as to any relations between its categories and physiological facts, cerebral or other. It does not undertake, but sedulously avoids, hypothetical explanations of any sort. It simply scrutinizes the direct appearances, and endeavors to combine minute accuracy with the broadest possible generalization. The student's great effort is not to be influenced by any tradition, any authority, any reasons for supposing that such and such ought to be the facts, or any fancies of any kind, and to confine himself to honest, single-minded observation of the appearances. The reader, upon his side, must repeat the author's observations for himself, and decide from his own observations whether the author's account of the appearances is correct or not.


Indecomposable Elements

Excerpts from EP2:366-70 (CP 1.317-21), 1905:
In this draft for a Monist article, Peirce asks: ‘Can we find in the Phaneron any element logically indecomposable, which is such as it is, altogether otherwise than relatively, but positively, and regardless of ought else?’
I answer, There are many such elements. I instance the color of a stick of countinghouse sealing wax which I had to use a few moments ago, and which still lies on my table in plain sight. This is an element, for I do not see it as composite. It is also logically indecomposable. It is true that I can take down my color wheel, analyze this color, and define it in an equation. But such an equation, far from expressing any logical analysis, does not even define the color-sensation. For an observer thoroughly trained to recognize his immediate feelings as they are felt, free from all the allowances which we naturally make for the circumstances of the experience, will perceive that when the stick of sealing wax be highly illuminated, the sensation is more scarlet, and that under a dim light it verges toward a dull vermillion hue; and yet the analysis by the color wheel will wholly fail to detect this.…
Sealing-wax red, then, is a Priman.
So is any other quality of feeling. Now the whole content of consciousness is made up of qualities of feeling, as truly as the whole of space is made up of points or the whole of time of instants. Contemplate anything by itself,—anything whatever that can be so contemplated. Attend to the whole and drop the parts out of attention altogether. One can approximate nearly enough to the accomplishment of that to see that the result of its perfect accomplishment would be that one would have in his consciousness at the moment nothing but a quality of feeling. This quality of feeling would in itself, as so contemplated, have no parts. It would be unlike any other such quality of feeling. In itself, it would not even resemble any other; for resemblance has its being only in comparison. It would be a pure priman. Since this is true of whatever we contemplate, however complex may be the object, it follows that there is nothing else in immediate consciousness. To be conscious is nothing else than to feel.

What room, then, is there for Secundans and Tertians? Was there some mistake in our demonstration that they must also have their places in the Phaneron? No, there was no mistake. I said that the Phaneron is made up entirely of qualities of feeling as truly as space is entirely made up of points. There is a certain protoidal aspect—I coin the word for the need,—under which space is truly made up of nothing but points. Yet it is certain that no collection of points,—using the word collection to mean merely a plural, without the idea of the objects being brought together,—no collection of points, no matter how abnumerable its multitude, can in itself constitute Space.…

But the Phaneron does contain genuine Secundans. Standing on the outside of a door that is slightly ajar, you put your hand upon the knob to open and enter it. You experience an unseen, silent resistance. You put your shoulder against the door and, gathering your forces, put forth a tremendous effort. Effort supposes resistance. Where there is no effort there is no resistance, where there is no resistance there is no effort either in this world or any of the worlds of possibility. It follows that an effort is not a feeling nor anything priman or protoidal. There are feelings connected with it: they are the sum of consciousness during the effort. But it is conceivable that a man should have it in his power directly to summon up all those feelings, or any feelings. He could not, in any world, be endowed with the power of summoning up an effort to which there did not happen to be a resistance all ready to exist. For it is an absurdity to suppose that a man could directly will to oppose that very will. A very little thinking will show that this is what it comes to. According to such psychological analysis as I can make, effort is a phenomenon which only arises when one feeling abuts upon another in time, and which then always arises. But my psychological pretensions are little, if they exist at all, and I only mention my theory in order that contrast should impress the reader with the irrelevancy of psychology to our present problem, which is to say of what sort that is which is in our minds when we make an effort and which constitutes it an effort. We live in two worlds, a world of fact and a world of fancy. Each of us is accustomed to think that he is the creator of his world of fancy; that he has but to pronounce his fiat, and the thing exists, with no resistance and no effort; and although this is so far from the truth that I doubt not that much the greater part of the reader's labor is expended on the world of fancy, yet it is near enough the truth for a first approximation. For this reason we call the world of fancy the internal world, the world of fact the external world. In this latter we are masters, each of us, of his own voluntary muscles, and of nothing more. But man is sly, and contrives to make this little more than he needs. Beyond that, he defends himself from the angles of hard fact by clothing himself with a garment of contentment and of habituation. Were it not for this garment, he would every now and then find his internal world rudely disturbed and his fiats set at naught by brutal inroads of ideas from without. I call such forcible modification of our ways of thinking, the influence of the world of fact, experience. But he patches up his garment by guessing what those inroads are likely to be and carefully excluding from his internal world every idea which is likely to be so disturbed. Instead of waiting for experience to come at untoward times, he provokes it when it can do no harm and changes the government of his internal world accordingly.


On ‘the contents of my consciousness’

In one of his last writings, composed in 1913, Peirce included a phenomenological reflection on ‘consciousness’:
what I am aware of, or, to use a different expression for the same fact, what I am conscious of, or, as the psychologists strangely talk, the ‘contents of my consciousness’ (just as if what I am conscious of and the fact that I am conscious were two different facts, and as if the one were inside the other), this same fact, I say, however it be worded, is evidently the entire universe, so far as I am concerned. Yet there is a wonderful revelation for me in the phenomenon of my sometimes becoming conscious that I have been in error, which at once shows me that if there can be no universe, as far as I am concerned, except the universe I am aware of, still there are differences in awareness. I become aware that though ‘universe’ and ‘awareness’ are one and the same thing, yet somehow the universe will go on in some definite fashion after I am dead and gone, whether I shall be the least aware of it or not.
— Peirce, EP2:472
This ‘entire universe’ is of course the phaneron, and ‘differences’ constitute Secondness.


Kainopythagorean Categories

The passage below is from a manuscript ‘On Topical Geometry’ (which we now call topology), and the first two paragraphs here explain why it is necessary to study logic — and therefore the elements of common experience — in order to properly ground this most basic of mathematical inquiries. In particular, we need this philosophical/phenomenological grounding in order to develop a sound concept of continuity, which was central to Peirce's work (see Parker 1998, The Continuity of Peirce's Thought; note also that the central theme of Evan Thompson's 2007 book is ‘the deep continuity of life and mind’). The final section is especially interesting on the nature of time, continuity and Thirdness.

CP 7.524-538:
[From Section 2, "Some Logical Prolegomena," the final section of a manuscript, "On Topical Geometry, in General," Widener IA-2, undated, with added quotations in 534n4 and 535n6. A partial draft and a complete draft of Section 2 have a common first page. Paragraphs 524-529 are from the partial draft; paragraphs 530-538 are the last part of the complete draft. (CP Ed.)]

If the whole business of mathematics consists in deducing the properties of hypothetical constructions, mathematics is the one science to which a science of logic is not pertinent. For nothing can be more evident than its own unaided reasonings. On the contrary logic is an experiential, or positive, science. Not that it needs to make any special observations, but it does rest upon a part of our experience that is common to all men. Pure deductive logic, insofar as it is restricted to mathematical hypotheses, is, indeed, mere mathematics. But when logic tells us that we can reason about the real world in the same way with security, it tells us a positive fact about the universe. As for induction, it is generally admitted that it rests upon some such fact. But all facts of this sort are irrelevant to the deduction of the properties of purely hypothetical constructions.

But there is a part of the business of the mathematician where a science of logic is required. Namely, the mathematician is called in to consider a state of facts which are presented in a confused mass. Out of this state of things he has at the outset to build his hypothesis. Thus, the question of topical geometry is suggested by ordinary observations. In order definitely to state its hypothesis, the mathematician, before he comes to his proper business, must define what continuity, for the purpose of topics, consists in; and this requires logical analysis of the utmost subtlety. Mathematicians still survive who are so little versed in reasoning as to deny that we can reason mathematically about infinity, although the hypothesis of an endless series of whole numbers involves infinity and the hypothesis of transcendental irrational quantities involves an infinity of another kind. If we cannot reason mathematically about infinity, a fortiori we cannot reason mathematically about continuity, and any exact mathematics of topical geometry becomes impossible. To clear up these difficulties, some consideration of logical matters is indispensable.

Logic is a branch of philosophy. That is to say it is an experiential, or positive science, but a science which rests on no special observations, made by special observational means, but on phenomena which lie open to the observation of every man, every day and hour. There are two main branches of philosophy, Logic, or the philosophy of thought, and Metaphysics, or the philosophy of being. Still more general than these is High Philosophy which brings to light certain truths applicable alike to logic and to metaphysics. It is with this high philosophy that we have at first to deal.

What is the experience upon which high philosophy is based? For any one of the special sciences, experience is that which the observational art of that science directly reveals. This is connected with and assimilated to knowledge already in our possession and otherwise derived, and thereby receives an interpretation, or theory. But in philosophy there is no special observational art, and there is no knowledge antecedently acquired in the light of which experience is to be interpreted. The interpretation itself is experience. Even logic, however, the higher of the two main branches of philosophy, draws a distinction between truth and falsehood. But in high philosophy, experience is the entire cognitive result of living, and illusion is, for its purposes, just as much experience as is real perception. With this understanding, I proceed to make evident the following proposition.

All the elements of experience belong to three classes, which, since they are best defined in terms of numbers, may be termed Kainopythagorean categories. Namely, experience is composed of

1st, monadic experiences, or simples, being elements each of such a nature that it might without inconsistency be what it is though there were nothing else in all experience;

2nd, dyadic experiences, or recurrences, each a direct experience of an opposing pair of objects;

3rd, triadic experiences, or comprehensions, each a direct experience which connects other possible experiences.

In order to prove this proposition I have, first, to invite every reader to note certain phenomena in experience and make certain simple generalizations from those observations; second, to point out in those generalized phenomena the essential characters in the above definitions of the categories; third, to point out certain other characteristics of those phenomena and show how they are related to the essential characters of the categories; fourth, to exemplify the wide range of each category in experience; fifth, to show by comparison of the characters already ascertained that none of the categories can be resolved into the others, but that all are distinct from one another; sixth, and most difficult, to prove that there can be no element in experience not included in the three categories.

[paragraphs 530-538 are the last part of the complete draft:]

A quality of feeling, say for example of [a] certain purple color, might be imagined to constitute the whole of some being's experience without any sense of beginning, ending, or continuance, without any self-consciousness distinct from the feeling of the color, without comparison with other feelings; and still it might be the very color we see. This is a conclusion which anybody can reach by comparing his different states of feeling; but we cannot actually observe a quality of feeling in its purity; it is always mixed with other elements which modify it greatly. Were a feeling thus to usurp the whole consciousness, it would necessarily be perfectly simple; for the perception of different elements in it is a comparison of feelings. Moreover, with us every feeling has its degree of vividness, which does not affect its quality, but is apparently the degree of disturbance it produces. It is necessary to speak vaguely, because it is not settled precisely what vividness consists in. But [were] the feeling uncomplicated by anything else, no particular degree of vividness would attach to it. The quality of feeling would then be the whole feeling. Qualities, then, constitute the first category. A quality of feeling is perfectly simple, in itself; though a quality thought over and thus mixed with other elements, may be compared with others and analyzed. A quality of feeling, in itself, is no object and is attached to no object. It is a mere tone of consciousness. But qualities of feeling may be attached to objects. A quality of feeling, in itself, has no generality; but it is susceptible of generalization without losing its character; and indeed all the qualities of feeling we are able to recognize are more or less generalized. In a mathematical hypothesis the qualities of feeling are so subordinate as to be scarcely noticeable.

That we cannot have an experience of exertion without a direct experience therein of resistance to our exertion is plain. By an experience of exertion, I do not mean a consciousness of resolving to do something, nor the collection of our force preparatory to an effort, but merely what we experience in the very act of doing. This being understood, I contend that it is equally true that we cannot have an experience of being affected by anything without having therein a direct experience of our resisting the effect. Take hold of one end of a lexicon and lift it, while one edge remains on the table or floor. You experience its resistance. But when the centre of gravity has passed beyond the vertical plane of stationary edge, what you feel is that the dictionary is acting upon you. Yet the only difference is that different muscles are now called into play, which are elongating instead of contracting. Lay your forearm on the table and place the book on your palm. Though the sensation is somewhat different, you still have an experience of being overborne, and thus of holding out against the compression. A series of such experiments, with variations needless to describe, will convince the reader that there is a common character in the experience of acting upon anything by a muscular contraction and an experience of being acted on whether by a relaxation of a muscle or by a sensation received upon the organs of sense. That experience gives us at once a direct consciousness of something inward and an equally direct consciousness of something outward. In fact, these two are one and the same consciousness. They are inseparable. The same two-sided consciousness appears when by direct effort I bring to the surface of recollection a name that I dimly remember, and when I make distinct to myself a confused conception.
[CSP note: But I do not mean to say that bare striving usually does any more good in these cases than in the case of such a physical difficulty as turning a key that does not fit very well in its lock. If a moderate effort does not suffice, some contrivance has to be employed. [gnoxic note: See Schacter 2001, Chapter 3, on the difficulty of recollecting proper names and some ‘contrivances’ for doing so.] ]
If the purple color which we just supposed made up the whole consciousness of a being were suddenly to change, then, still supposing the idea of continuance is either absent or not prominent, that being will have a two-sided consciousness. The sense of what has been will be a rudimentary ego, the sense of what comes about will be a rudimentary non-ego. For past experience is for each of us ours, and that which the future brings is not ours, which becomes present only in the instant of assimilation. That being could have no sense of change except by experiencing the two colors together. The instant change would involve a sort of shock consisting in the two-sided consciousness. This experience of reaction is the second Kainopythagorean category. It is impossible to find any element of experience directly involving two objects, and no more,— those two embraced in any third, such as a pair, but standing in their naked otherness,— other than an experience of reaction.

A reaction is something which occurs hic et nunc. It happens but once. If it is repeated, that makes two reactions. If it is continued for some time, that, as will be shown below, involves the third category. It is an individual event, and I shall show that it is the root of all logical individuality. A reaction cannot be generalized without entirely losing its character as a reaction. A generalized reaction is a law. But a law, by itself without the addition of a living reaction to carry it out on each separate occasion, is as impotent as a judge without a sheriff. It is an idle formula entirely different from a reaction. A reaction may be ever so conformable to law or reason, that is, it may occur when law or reason calls for it. But, in itself, as reaction it is arbitrary, blind, and brute exertion of force. To express the fact that a reaction thus resists all generalization, I say that it is anti-general. In this respect it contrasts with a quality of feeling, which though not in itself general is susceptible of generalization without losing its character as quality of feeling. It is remarkable that Reaction, which is the Dyad category, should have an aggressive unity that Quality, the Monad category, does not exhibit. But the explanation of it is that the quality involves no reference to anything else and so is one without any special emphasis, since it could not be otherwise; while reaction consists in the congress of two things, that might not come together, and every concurrence of them makes a distinct reaction. It will be found that the third category also has a mode of unity which does not belong to either of the others.

A quality of feeling does not in itself involve any reaction. But an experience of reaction does involve two qualities of feeling. It consists in the conjunction of two qualities of feeling; and in this conjunction those two qualities of feeling become more than mere qualities. In being thus set over against one another they acquire the concreteness and actuality of feelings. The one purple color absorbing the entire consciousness of our supposed being was a mere tone of life. But when a sudden change occurs setting two against one another, they become objects.

Although in all direct experience of reaction, an ego, a something within, is one member of the pair, yet we attribute reactions to objects outside of us. When we say that a thing exists, what we mean is that it reacts upon other things. [CP editor inserts here a pointer to the CSP fragment below.] That we are transferring to it our direct experience of reaction is shown by our saying that one thing acts upon another. It is our hypothesis to explain the phenomena,— a hypothesis, which like the working hypothesis of a scientific inquiry, we may not believe to be altogether true, but which is useful in enabling us to conceive of what takes place.

Now if we ask ourselves what else we observe in every experience (taking experience in its broadest sense to include experience of ideal worlds and of the real world as we interpret its phenomena) besides qualities and reactions, the answer will readily come that there remain the regularities, the continuities, the significances. These are essentially of one kind. That continuity is only a variation of regularity, or, if we please so to regard it, that regularity is only a special case of continuity, will appear below, when we come to analyze the conception of continuity. It is already quite plain that any continuum we can think of is perfectly regular in its way as far as its continuity extends. No doubt, a line may be say an arc of a circle up to a certain point and beyond that point it may be straight. Then it is in one sense continuous and without a break, while in another sense, it does not all follow one law. But in so far as it is continuous, it everywhere follows a law; that is, the same thing is true of every portion of it; while in the sense in which it is irregular its continuity is broken. In short, the idea of continuity is the idea of a homogeneity, or sameness, which is a regularity. On the other hand, just as a continuous line is one which affords room for any multitude of points, no matter how great, so all regularity affords scope for any multitude of variant particulars; so that the idea [of] continuity is an extension of the idea of regularity. Regularity implies generality; [CP editor inserts here a pointer to the CSP fragment below.] and generality is an intellectual relation essentially the same as significance, as is shown by the contention of the nominalists that all generals are names. Even if generals have a being independent of actual thought, their being consists in their being possible objects of thought whereby particulars can be thought. Now that which brings another thing before the mind is a representation; so that generality and regularity are essentially the same as significance. Thus, continuity, regularity, and significance are essentially the same idea with merely subsidiary differences. That this element is found in experience is shown by the fact that all experience involves time. Now the flow of time is conceived as continuous. No matter whether this continuity is a datum of sense, or a quasi-hypothesis imported by the mind into experience, or even an illusion; in any case it remains a direct experience. For experience is not what analysis discovers but the raw material upon which analysis works. This element then is an element of direct experience.

It remains to be shown that this element is the third Kainopythagorean category. All flow of time involves learning; and all learning involves the flow of time. Now no continuum can be apprehended except by a mental generation of it, by thinking of something as moving through it, or in some way equivalent to this, and founded upon it. For a mere dull staring at a superficies does not involve the positive apprehension of continuity. All that is given in such staring is a feeling which serves as a sign that the object might be apprehended as a continuum. Thus, all apprehension of continuity involves a consciousness of learning. In the next place, all learning is virtually reasoning; that is to say, if not reasoning, it only differs therefrom in being too low in consciousness to be controllable and in consequently not being subject to criticism as good or bad,— no doubt, a most important distinction for logical purposes, but not affecting the nature of the elements of experience that it contains. In order to convince ourselves that all learning is virtually reasoning, we have only to reflect that the mere experience of a sense-reaction is not learning. That is only something from which something can be learned, by interpreting it. The interpretation is the learning. If it is objected that there must be a first thing learned, I reply that this is like saying that there must be a first rational fraction, in the order of magnitudes, greater than zero. There is no minimum time that an experience of learning must occupy. At least, we do not conceive it so, in conceiving time as continuous; for every flow of time, however short, is an experience of learning. It may be replied that this only shows that not all learning is reasoning, inasmuch as every train of reasoning whatever consists of a finite number of discrete steps. But my rejoinder is that if by an argument we mean an attempt to state a step in reasoning, then the simplest step in reasoning is incapable of being completely stated by any finite series of arguments. For every step in reasoning has a premiss, P, and a conclusion, C; and the reasoning consists in the perception that if P is found true as it has been found true, then must C be always or mostly true; and this ‘must’ means that not only [is] C true (or probable) unless P is false (or not found true in the way supposed) but that every analogous premiss and conclusion are in the same relation. That is to say, in the reasoning we observe that P has a certain general character and C is related to it in a certain general way, and further that given any proposition whatever of that general character, the proposition related to it in that general way is true unless the former proposition is false; whence it necessarily follows of C and P, that either the former is true or the latter is false. But this is a second argument involved in the reasoning. For the first argument was

P is true,

Hence, C must be true;

while the second argument is
P has a general character P' and C has a relation r to P;
But given any proposition having the character P', the proposition having the relation r to it is true unless the former is false;
Hence, C is true unless P is false.

Thus, every reasoning involves another reasoning, which in its turn involves another, and so on ad infinitum. Every reasoning connects something that has just been learned with knowledge already acquired so that we thereby learn what has been unknown. It is thus that the present is so welded to what is just past as to render what is just coming about inevitable. The consciousness of the present, as the boundary between past and future, involves them both. Reasoning is a new experience which involves something old and something hitherto unknown. The past as above remarked is the ego. My recent past is my uppermost ego; my distant past is my more generalized ego. The past of the community is our ego. In attributing a flow of time to unknown events we impute a quasi-ego to the universe. The present is the immediate representation we are just learning that brings the future, or non-ego, to be assimilated into the ego. It is thus seen that learning, or representation, is the third Kainopythagorean category.

There are no more Kainopythagorean categories than these three. For the first category is nonrelative experience, the second is experience of a dyadic relation, and the third is experience of a triadic relation. It is impossible to analyze a triadic relation, or fact about three objects, into dyadic relations; for the very idea of a compound supposes two parts, at least, and a whole, or three objects, at least, in all. On the other hand, every tetradic relation, or fact about four objects can be analyzed into a compound of triadic relations. This can be shown by an example. Suppose a seller, S, sells a thing, T, to a buyer, B, for a sum of money, M. This sale is a tetradic relation. But if we define precisely what it consists in, we shall find it to be a compound of six triadic relations, as follows:

1st, S is the subject of a certain receipt of money, R, in return for the performance of a certain act As;

2nd, This performance of the act As effects a certain delivery, D, according to a certain contract, or agreement, C;

3rd, B is the subject of a certain acquisition of good, G, in return for the performance of a certain act, Ab;

4th, This performance of the act Ab effects a certain payment, P, according to the aforesaid contract C;

5th, The delivery, D, renders T the object of the acquisition of good G;

6th, The payment, P, renders M the object of the receipt of money, R. Or we may define a sale as the execution of contract of sale. The contract of sale has two clauses. The first clause provides for a giving and a receiving. The giving is by the seller of the commodity; the receiving is by the buyer of the same commodity. The second clause provides for a giving and a receiving. The giving is by the buyer of the price; the receiving is by the seller of the same price. The execution is of the first clause and of the second, etc. But I do not think this latter definition as good as the other, since it introduces several unnecessary elements and also covertly brings in four pentadic relations, such as the relation of the buyer to the first and second clauses of the contract and to the separate executions of them.

Let me now resume the argument. To begin with, it is to be remarked that I use the word ‘experience’ in a much broader sense than it carries in the special sciences. For those sciences, experience is that which their special means of observation directly bring to light, and it is contrasted with the interpretations of those observations which are effected by connecting these experiences with what we otherwise know. But for philosophy, which is the science which sets in order those observations which lie open to every man every day and hour, experience can only mean the total cognitive result of living, and includes interpretations quite as truly as it does the matter of sense. Even more truly, since this matter of sense is a hypothetical something which we never can seize as such, free from all interpretative working over. Such being what is here meant by experience, my argument is of the utmost simplicity. It consists merely in begging the reader to notice certain phenomena which he will find, I believe, in every corner of experience and to draw the simplest generalizations from them. The first phenomenon that I ask him to observe is, that he can detect elements in experience which are whatever they are each in its own simplicity. Namely, he will perceive that this is true of colors, smells, emotions, tones of mood, the characteristic flavors, if I may use this expression, attaching to certain ideas. Look, for instance, on anything yellow. That yellow quality is not in itself, as that mere quality, to be explained by anything else, or defined in terms of anything else; nor does it involve or imply anything else. This is surely evident. True, we know by experiment that a yellow color can be produced by mixing green and red light. But the yellow, as a quality of feeling, involves no reference to any other color. Every quality of feeling, as such, is perfectly simple and irrespective of anything else. The second phenomenon that I ask the reader to observe is that there are in experience occurrences; and in every experience of an occurrence two things are directly given as opposed, namely, what there was before the occurrence, which now appears as an ego, and what the occurrence forces upon the ego, a non-ego. This is particularly obvious in voluntary acts; but it is equally true of reactions of sense. If the latter are intense, or violent, the sense of reaction is particularly strong. There is a certain quality of feeling here, a brute arbitrariness, as I may call it, though it cannot be described any more than yellow can be described. But it is not this quality of feeling to which I wish to direct attention as peculiar, but the actual taking place. This actual taking place essentially involves two things, what there was before and what the occurrence introduces. I ask the reader to remark that such an occurrence cannot possibly be resolved into qualities of feeling. For in the first place, a quality of feeling is, in itself, simple and irrespective of anything else; so that anything compound necessarily involves something besides a quality of feeling. Secondly, a quality is merely something that might be realized, while an occurrence is something that actually takes place. The character of brute exertion that attaches to every occurrence is, no doubt, a quality of feeling; but experience of the occurrence itself, is something else. Such an element of experience I term a reaction in order to emphasize its essentially dual character. Thirdly, a reaction has an individuality. It happens only once. If it is repeated, the repetition is another occurrence, no matter how like the first it may be. It is anti-general. A quality, on the other hand, has no individuality. Two qualities are different only so far as they are unlike. Individuality is an aggressive unity, arising from an absolute refusal to be in any degree responsible for anything else. This a quality cannot have since it is too utterly irrespective of anything else even to deny it. A reaction, on the other hand, is an opposition, or pairedness of objects that are existentially correlative, neither existing except by virtue of this opposition.


From a fragment in Widener IA-8, undated:

When the idea of space forms itself in our minds, or being inborn, connects itself with sensations, those things come to be regarded as near together which act strongly on one another, and are intimately related in regard to forces; while those things come to be regarded as remote which, as far as those forces of which we have any primitive experience are concerned, have little to do with one another. Hence, when gravitation was found to act at a distance, and even at vast distances, men were astounded; they thought it could not be. It seemed somehow to involve absurdity. The absurdity which was obscurely felt was that the idea [of] nearness was the idea of close connection; and therefore men felt that immediate connection supposed confinity. But that instinctive idea has been corrected. Any particle may be regarded as extending throughout space. It is where it acts. But it acts extremely little except in a very little space; and its place is peculiarly where it acts the most.

From "Supplement. 1908 May 24," Widener IA-3, an addendum alternative to 4.642 ([Bibliography] G-1908-1b):

I begin by defining a part of any whole, in a sense of the [term] much wider [than] any in current use, though it is not obsolete in the vocabulary of philosophy. In this broadest sense, [it] is anything that is (1) other than its whole, and (2) … such that if the whole were really to be, no matter what else might be true, then the part must under all conceivable circumstances itself really be, in the same ‘universe of discourse,’ though by no means necessarily in the same one of those three Universes with which experience makes us all more or less acquainted. Thus, light is a part of vision ….

A perfect continuum belongs to the genus, of a whole all whose parts without any exception whatsoever conform to one general law to which same law conform likewise all the parts of each single part. Continuity is thus a special kind of generality, or conformity to one Idea. More specifically, it is a homogeneity, or generality among all of a certain kind of parts of one whole. Still more specifically, the characters which are the same in all the parts are a certain kind of relationship of each part to all the coördinate parts; that is, it is a regularity. The step of specification which seems called for next, as appropriate to our purpose of defining, or logically analyzing the Idea of continuity, is that of asking ourselves what kind [of] relationship between parts it is that constitutes the regularity a continuity; and the first, and therefore doubtless the best answer for our purpose, not as the ultimate answer, but as the proximate one, is that it is the relation or relations of contiguity; for continuity is unbrokenness (whatever that may be,) and this seems to imply a passage from one part to a contiguous part. What is this 'passage'? This passage seems to be an act of turning the attention from one part to another part; in short an actual event in the mind. This seems decidedly unfortunate, since an event can only take place in Time, and Time is a continuum; so that the prospect is that we shall rise from our analysis with a definition of continuity in general in terms of a special continuity. However, it is possible that this objection will disappear as we proceed.


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