| Categories, Cenopythagorean Categories
"In my studies of Kant's great Critic, which I almost knew by heart, I was very
much struck by the fact that, although, according to his own account of the matter, his
whole philosophy rests upon his "functions of judgment," or logical divisions of
propositions, and upon the relation of his "categories" to
them, yet his examination of them is most hasty, superficial, trivial, and even trifling,
while throughout his works, replete as they are with evidences of logical genius, there
is manifest a most astounding ignorance of the traditional logic, even of the very
Summulę Logicales, the elementary schoolbook of the Plantagenet era. [---] I was thus
stimulated to independent inquiry into the logical support of the
fundamental concepts called categories."
(Comments on 'On a New List of Categories', CP 1.560, c. 1907)
"I use the word phaneron to mean all that is present to the mind in any sense or in any
way whatsoever, regardless of whether it be fact or figment. I examine the phaneron and I
endeavor to sort out its elements according to the complexity of their structure. I thus
reach my three categories." (A Draft of a Letter to Calderoni, CP 8.213, c.1905)
"The cenopythagorean categories are doubtless another attempt
to characterize what Hegel sought to characterize as his three stages of thought. They
also correspond to the three categories of each of
the four triads of Kant's table. But the fact that these different attempts were
independent of one another (the resemblance of these
Categories to Hegel's stages was not remarked for many years after the list had
been under study, owing to my antipathy to Hegel) only goes to show that there really are
three such elements." (A Letter to Lady Welby, CP 8.329, 1904)
"It rather annoys me to be told that there is anything novel in my three
categories; for if they have not, however confusedly, been
recognized by men since men began to think, that condemns them at once. To make them as
distinct as it is in their nature to be is, however, no small task. I do not suppose they
are so in my own mind; and evidently, it is not in their nature to be sharp as ordinary
concepts. But I am going to try to make here a brief statement that, I think, will do
something for them. By the phenomenon I mean whatever is before our minds in any sense. The three categories are supposed to be the three kinds of elements that attentive perception can make out in the phenomenon." (A Letter to William James, CP 8.264-5, 1903)
"Hegel was quite right in holding that it was the business of this science to bring out
and make clear the Categories or
fundamental modes. He was also right in holding that these
Categories are of two kinds; the Universal
Categories all of which apply to everything, and the series
of categories consisting of phases of evolution."
(Harvard Lectures on Pragmatism, CP 5.38, 1903)
"A very moderate exercise of this third faculty suffices to show us that
the word Category bears substantially the same meaning with all
philosophers. For Aristotle, for Kant, and for Hegel, a category
is an element of phenomena
of the first rank of generality. It naturally follows that the
categories are few in
number, just as the chemical elements are. The business of phenomenology is to draw up a
catalogue of categories and prove its sufficiency and freedom
from redundancies, to make out the characteristics of each
category, and to show the relations of each to the others.
I find that there are at least two distinct orders of categories,
which I call the particular and the universal. The particular
categories form a
series, or set of series, only one of each series being present, or at least predominant,
in any one phenomenon. The universal categories, on the other hand, belong to every
phenomenon, one being perhaps more prominent in one aspect of that phenomenon than another
but all of them belonging to every phenomenon. I am not very well satisfied with this
description of the two orders of categories, but I am pretty
well satisfied that there
are two orders."
(Harvard Lectures on Pragmatism, CP 5.43, 1903)
"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." (Lowell Lectures, CP 1.525, 1903)
"I essay an analysis of what appears in the world. It is not metaphysics that we are
dealing with: only logic. Therefore, we do not ask what really is, but only what appears
to everyone of us in every minute of our lives.
I analyze experience,
which is the cognitive resultant of our past lives, and find in it three elements. I call
them Categories." ('Minute Logic',
CP 2.84, c.1902)
"There is no fourth, as will be proved. This list of categories
may be distinguished from
other lists as the Ceno-Pythagorean Categories, on
account of their connection with numbers. They agree substantially with Hegel's three
moments. Could they be attributed to any thinker in well-known history, that would be
almost enough to refute their claims to primitivity. It has occurred to me that perhaps
Pythagoras brought them from Media or Aria; but careful examination has convinced me that
there was not among the Pythagoreans the smallest approach to anything resembling the
categories." ('Minute Logic', CP 2.87, c.1902)
"But though there was more unity than in Kant's system, still, as the subject stood,
there was not as much as might be desired. Why should there be three principles of
reasoning, and what have they to do with one another? This question, which was connected
with other parts of my schedule of philosophical inquiry that need not be detailed, now
came to the front. Even without Kant's categories, the
recurrence of triads in logic was
quite marked, and must be the croppings out of some fundamental
conceptions. I now undertook to ascertain what the conceptions were. This search
resulted in what I call my categories. I then named them
Quality, Relation, and Representation. But I was not then aware that undecomposable
relations may necessarily require more subjects than two; for this reason Reaction is
a better term. Moreover, I did not then know enough about language to see that to attempt
to make the word representation serve for an idea so much more general than any it
habitually carried, was injudicious. The word mediation would be better.
Quality, reaction, and mediation will do. But for scientific terms,
Firstness, Secondness, and Thirdness, are to be preferred as being entirely new words
without any false associations whatever. How the conceptions are named makes,
however, little difference. I will endeavor to convey to you some idea of the conceptions
themselves. It is to be remembered that they are excessively general
ideas, so very uncommonly general that it is far from easy to get any but a vague
apprehension of their meaning. . . ."
(Cambridge Lectures on Reasoning and the Logic of Things, CP 4.3, 1898)
"As early as 1860, when I knew nothing of any German philosopher except Kant, who had
been my revered master for three or four years, I was much struck with a certain
indication that Kant's list of categories might be a
part of a larger system of conceptions. For instance, the categories
of relation -- reaction, causality, and subsistence -- are so many different
modes of necessity, which is a category of modality; and
in like manner, the categories of quality --
negation, qualification, degree, and intrinsic attribution -- are so many relations
of inherence, which is a category of relation. Thus,
as the categories of the third
group are to those of the fourth, so are those of the second to those of the third;
and I fancied, at least, that the categories of quantity,
unity, plurality, totality,
were, in like manner, different intrinsic attributions of quality. Moreover, if I asked
myself what was the difference between the three categories
of quality, the answer I
gave was that negation was a merely possible inherence, quality in degree a contingent
inherence, and intrinsic attribution a necessary inherence; so that the
categories of
the second group are distinguished by means of those of the fourth; and in like manner,
it seemed to me that to the question how the categories of
quantity -- unity, plurality,
totality -- differ, the answer should be that totality, or system, is the intrinsic
attribution which results from reactions, plurality that which results from causality,
and unity that which results from inherence. This led me to ask, what are the conceptions
which are distinguished by negative unity, qualitative unity, and intrinsic unity? I
also asked, what are the different kinds of necessity by which reaction, causality,
and inherence are distinguished? I will not trouble the reader with my answers to
these and similar questions. Suffice it to say that I seemed to myself to be blindly
groping among a deranged system of conceptions; and after trying to solve the puzzle
in a direct speculative, a physical, a historical, and a psychological manner, I
finally concluded the only way was to attack it as Kant had done from the side of formal
logic." (Comments on 'On a New List of Categories', CP 1.563, c. 1898)
"We have already seen clearly that the elements of phenomena are of three
categories, quality, fact, and thought."
('The Logic of Mathematics; An Attempt to Develop My
Categories from Within', CP 1.423, c.1896)
"The list of categories, or as
Harris, the author of Hermes, called them,
the "philosophical arrangements," is a table of conceptions drawn
from the logical analysis of thought and regarded as applicable to being. This
description applies not merely to the list published by me in 1867, and which I here
endeavor to amplify, but also to the categories of Aristotle
and to those of Kant. The
latter have been more or less modified by different critics, as Renouvier, and still more
profoundly by Hegel. My own list grew originally out of the study of the table of Kant."
('The List of Categories: A Second Essay', CP 1.300, c.1894)
"Such, at least, is the doctrine I have been teaching for twenty-five years, and which,
if deeply pondered, will be found to enwrap an entire philosophy. Kant taught that
our fundamental conceptions are merely the ineluctable
ideas of a system of logical forms; nor is any occult transcendentalism requisite to
show that this is so, and must be so. Nature only appears intelligible so far as it
appears rational, that is, so far as its processes are seen to be like processes of
thought. I must take this for granted, for I have no space here to argue it. It follows
that if we find three distinct and irreducible forms of rhemata, the ideas of these
should be the three elementary conceptions of metaphysics. That there are three
elementary forms of categories is the conclusion of Kant,
to which Hegel subscribes;
and Kant seeks to establish this from the analysis of formal logic. Unfortunately, his
study of that subject was so excessively superficial that his argument is destitute of
the slightest value. Nevertheless, his conclusion is correct; for the three elements
permeate not only the truths of logic, but even to a great extent the very errors of
the profounder logicians. I shall return to them next week. I will only mention here
that the ideas which belong to the three forms of rhemata are firstness, secondness,
thirdness; firstness, or spontaneity;
secondness, or dependence; thirdness, or mediation."
('The Critic of Arguments. II. The Reader is Introduced to Relatives', CP 3.422, 1892)
"Thus, the three essential elements of a network of roads are road about a
terminus, roadway-connection, and branching; and in like manner, the three fundamental
categories of fact are, fact about an object, fact about
two objects (relation),
fact about several objects (synthetic fact)." ('One, Two, Three: Fundamental
Categories of Thought and of Nature', CP 1.371, c. 1885)
"It seems, then, that the true categories of consciousness
are: first, feeling, the
consciousness which can be included with an instant of time, passive consciousness of
quality, without recognition or analysis; second, consciousness of an interruption into
the field of consciousness, sense of resistance, of an external fact, of another
something; third, synthetic consciousness, binding time together, sense of learning,
thought." ('One, Two, Three: Fundamental
Categories of Thought and of Nature', CP 1.377, c. 1885)
"Perhaps it is not right to call these categories conceptions;
they are so intangible
that they are rather tones or tints upon conceptions. In my first attempt to deal
with them, I made use of three grades of separability of one idea from another. In
the first place, two ideas may be so little allied that one of them may be present to
the consciousness in an image which does not contain the other at all; in this way we
can imagine red without imagining blue, and vice versa; we can also imagine sound
without melody, but not melody without sound. I call this kind of separation
dissociation. In the second place, even in cases where two conceptions cannot be
separated in the imagination, we can often suppose one without the other, that is we
can imagine data from which we should be led to believe in a state of things where one
was separated from the other. Thus, we can suppose uncolored space, though we cannot
dissociate space from color. I call this mode of separation prescission. In the third
place, even when one element cannot even be supposed without another, they may ofttimes
be distinguished from one another. Thus we can neither imagine nor suppose a taller
without a shorter, yet we can distinguish the taller from the shorter. I call this mode
of separation distinction. Now, the categories cannot be
dissociated in imagination
from each other, nor from other ideas. The category of
first can be prescinded from
second and third, and second can be prescinded from third. But second cannot be
prescinded from first, nor third from second. The categories
may, I believe, be
prescinded from any other one conception, but they cannot be prescinded from some
one and indeed many elements. You cannot suppose a first unless that first be something
definite and more or less definitely supposed. Finally, though it is easy to distinguish
the three categories from one another, it is extremely
difficult accurately and sharply
to distinguish each from other conceptions so as to hold it in its purity and yet in its
full meaning." ('One, Two, Three', CP 1.353, c. 1880)
"Hegel teaches that the whole series of categories
or universal conceptions can be evolved from one -- that is, from
Seyn -- by a certain
process, the effect of which is to make actually thought that which was virtually
latent in the thought. So that this reflection which constitutes Daseyn lies implicitly
even in Seyn, and it is by explicitly evolving it from Seyn that
Daseyn is evolved from Seyn." ('What is Meant by 'Determined'?', CP 6.626, 1868)
"This paper is based upon the theory already established, that the function of
conceptions is to reduce the manifold of sensuous impressions to unity and that the
validity of a conception consists in the impossibility of reducing the content of
consciousness to unity without the introduction of it. This theory gives rise to a conception of gradation among those conceptions which are universal. For one such conception may unite the manifold of sense and yet another may be required to unite the conception and the manifold to which it is applied; and so on." ('On a New List of Categories', CP 1.545-6, 1867)
"The five conceptions thus obtained, for reasons which will be sufficiently obvious,
may be termed categories. That is, Being Quality (reference to a ground) Relation (reference to a correlate) Representation (reference to an interpretant) Substance The three intermediate conceptions may be termed accidents." ('On a New List of Categories', CP 1.555, 1867)
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