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Nominalism, Idealism, and Realism



A while ago, there was some discussion on SUO list about
nominalism, idealism, and realism.

Following are definitions of those terms, which Peirce wrote
for the _Century Dictionary_.  The excerpt below is taken
from the introduction to volume 1 of _The Essential Peirce_.
It also includes some discussion about Peirce's philosophical
development, as he progressed through those stages of thought.
At the end of the excerpt is the URL for the complete intro,
which was written by Nathan Houser.

John Sowa
__________________________________________________________

Probably the most significant development in Peirce's intellectual life 
was the evolution of his thought from its quasi-nominalist and idealist 
beginnings to its broadly and strongly realist conclusion. Because there 
are so many variants of these doctrines, a few selections from Peirce's 
Century Dictionary definitions will help reveal his conceptions of these 
terms:

      Nominalism: 1. The doctrine that nothing is general but names;
      more specifically, the doctrine that common nouns, as man, horse,
      represent in their generality nothing in the real things, but
      are mere conveniences for speaking of many things at once, or
      at most necessities of human thought; individualism.

      Idealism: 1. The metaphysical doctrine that the real is of the
      nature of thought; the doctrine that all reality is in its nature
      psychical.

      Realist: 1. A logician who holds that the essences of natural
      classes have some mode of being in the real things; in this sense
      distinguished as a scholastic realist; opposed to nominalist.
      2. A philosopher who believes in the real existence of the external
      world as independent of all thought about it, or, at least, of the
      thought of any individual or any number of individuals.

Peirce also defined "ideal-realism" as "a metaphysical doctrine which 
combines the principles of idealism and realism." As a variant of this 
term, he defined the ideal-realism of his father [the mathematician 
Benjamin Peirce] as "the opinion that nature and the mind have such a 
community as to impart to our guesses a tendency toward the truth, while 
at the same time they require the confirmation of empirical science."

The life-long tension between nominalism and realism in Peirce's own 
intellectual life is testament to the general importance he attached to 
it; in fact, if any single question can be said to have been viewed by 
Peirce as the most important philosophical question of his time, it is 
that of deciding between the two doctrines. Peirce concurred in this 
with his old schoolmate Francis Ellingwood Abbot, who in 1885 wrote that 
"so far was the old battle of Nominalism and Realism from being fought 
out by the end of the fifteenth century that it is to-day the deep, 
underlying problem of problems, on the right solution of which depends 
the life of philosophy itself in the ages to come." (15) For Peirce, as 
for Abott, the significance of the outcome of this "battle" was not 
limited to technical philosophy:

      though the question of realism and nominalism has its roots in the
      technicalities of logic, its branches reach about our life. The
      question whether the genus homo has any existence except as
      individuals, is the question whether there is anything of any
      more dignity, worth, and importance than individual happiness,
      individual aspirations, and individual life. Whether men really
      have anything in common, so that the community is to be considered
      as an end in itself, and if so, what the relative value of the two
      factors is, is the most fundamental practical question in regard
      to every institution the constitution of which we have it in our
      power to influence.

According to Fisch, Peirce's progress toward realism began early and was 
gradual, but there were key steps that divide it into stages. (16) 
Peirce took his first deliberate step in 1868 when, in the second paper 
of his cognition series (item 3), he "declares unobtrusively for 
realism." Although this step marks only a small shift in Peirce's 
thought — the introduction of "the long run" into his theory of reality 
— it is an important one, for it brings to an end his period of avowed 
nominalism.

Peirce's second deliberate step was taken in 1871, when in his Berkeley 
review he again declared for "the realism of Scotus" and recognized that 
realism is temporally oriented toward the future while nominalism is 
oriented toward the past. Fisch points out that this second declaration 
came, when after a period of intensive study of the schoolmen, Peirce 
had become well acquainted with the writings of Duns Scotus.

Peirce took his third step in mid-1872 when, in the Cambridge 
Metaphysical Club, he first presented his pragmatism in which the 
meaning of conceptions is referred to future experience: "So we say that 
the inkstand upon the table is heavy. And what do we mean by that? We 
only mean that if its support be removed it will fall to the ground.... 
So that ... knowledge of the thing which exists all the time, exists 
only by virtue of the fact that when a certain occasion arises a certain 
idea will come into the mind" (W3:30-31). A few months later, Peirce 
wrote that "no cognition ... has an intellectual significance for what 
it is in itself, but only for what it is in its effects upon other 
thoughts. And the existence of a cognition is not something actual, but 
consists in the fact that under certain circumstances some other 
cognition will arise" (W3:77). But the best known statement of the 
doctrine came in 1878, in the second of his "Illustrations of the Logic 
of Science," in the now famous version of his pragmatic maxim: "consider 
what effects, which might conceivably have practical bearings, we 
conceive the object of our conception to have. Then, our conception of 
these effects is the whole of our conception of the object." Fisch stops 
enumerating the steps toward realism in 1872, and divides the rest of 
Peirce's development into two periods, the pre-Monist period (1872-1890) 
and the Monist period (1891-1914). He summarizes the key factors of the 
former period as follows:

The chief developments in the pre-Monist period whose effects on 
Peirce's realism will appear in the Monist period are his pragmatism; 
his work on the logic of relations and on truth-tables, indices, and 
quantification; the resulting reformulation of his categories; his work 
and that of Cantor and Dedekind on transfinite numbers; the appearance 
in 1885 of provocative books by Royce and Abbot; and, at the end of the 
period, a fresh review of the history of philosophy for purposes of 
defining philosophical terms for the Century Dictionary.

In the pre-Monist period, a step that had special importance for 
Peirce's philosophical development was his recognition, with the help of 
his Johns Hopkins student O. H. Mitchell, of the need for indices in his 
algebra of logic. Peirce recognized the need for indices in notations 
adequate for the full representation of reasoning because he had come to 
understand the importance of pinning down thought to actual situations. 
"The actual world," he said, "cannot be distinguished from a world of 
imagination by any description. Hence the need of pronouns and indices" 
(item 16). Fisch points out that Peirce's incorporation of indices into 
his system of logic called for a reformulation both of his theory of 
signs and of his general theory of categories. It was then that Peirce 
reintroduced the familiar icon-index-symbol trichotomy and his 
reformulated categories denoting three kinds of characters (singular, 
dual, and plural), which he associated with three kinds of fact: "fact 
about an object, fact about two objects (relation), fact about several 
objects (synthetic fact)" (W5:244).

At the end of the pre-Monist period, Peirce took a major step toward a 
more robust realism, a step related to his recognition of the need for 
indices. This was his acceptance, in about 1890, of Scotus's 
haecceities—the reality of actuality or of secondness. Peirce could no 
longer ignore the "Outward Clash," as Hegel had much to the detriment of 
his system of philosophy. With the acceptance of the reality of seconds, 
Peirce acknowledged the mode of being that distinguishes the individual 
from the general, and isolated his categories of fact: qualia, 
relations, and signs.

The Monist period began with the series of five papers that concludes 
the present volume. It is the first of four series of papers that Peirce 
contributed to the Monist which, after its founding in 1890, became his 
chief medium of publication. In each of these series, and in many of his 
other writings of the period, he continued to weed out the remaining 
nominalistic and many of the idealistic elements of his philosophy. 
Peirce took his most decisive step toward realism in 1897. Fisch has 
nicely illustrated this last great step by contrasting two passages, one 
from a January 1897 review of the third volume of Schr&3246der's Algebra 
und Logik der Relative, and the other from an 18 March 1897 letter to 
William James. In January, Peirce wrote: "I formerly [as late as October 
1896] defined the possible as that which in a given state of information 
(real or feigned) we do not know not to be true. But this definition 
today seems to me only a twisted phrase which, by means of two 
negatives, conceals an anacoluthon" (CP 3.527). Two months later he 
wrote to James: "The possible is a positive universe, and the two 
negations happen to fit it, but that is all" (CP 8.308). Peirce thus 
added the possible as a third mode of being—and, in so doing, gave up 
his long-held, Mill-inspired frequency theory of probability—and his 
scheme of categories was fundamentally complete. To his categories in 
their form of thirdness (feeling, or signs of firstness; sense of action 
and reaction, or signs of secondness; and sense of learning or 
mediation, or signs of thirdness) and in their form of secondness 
(qualia, or facts of firstness; relations, or facts of secondness; and 
signs, or facts of thirdness), Peirce now added what might be called his 
ontological categories, his categories in their form of firstness: 
firstness, or the being of positive qualitative possibility; secondness, 
or the being of actual fact; and thirdness, or the being of law that 
will govern facts in the future (CP 1.23).

Peirce was then, in 1897, what Fisch calls a "three-category realist." 
He had very early accepted the reality of thirds, the universe of 
thought or signs. This universe was the only reality Peirce the idealist 
had admitted until about 1890 when he accepted the reality of seconds, 
the universe of facts (influenced by Scotus). Finally, in 1897 he 
broadened his evolving realism to accept the reality of firsts, the 
universe of possibility (influenced by Aristotle). Recognizing the 
significance of these steps for the growth of his thought, Peirce now 
characterized himself as "an Aristotelian of the scholastic wing, 
approaching Scotism, but going much further in the direction of 
scholastic realism" (CP 5.77n1).

One further step from the Monist period should be mentioned, for it 
brings together two fundamental strands of Peirce's thought: his 
pragmatism and his semiotic. In his third Monist series, beginning in 
1905, Peirce sought to prove his doctrine of pragmatism (pragmaticism), 
and in the course of working out his proof, he wove his two great 
theories into a unified doctrine. He concluded that his semiotic 
pragmatism entails realism, so that a proof of pragmatism is, at the 
same time, a proof of realism, and that the pragmatist is "obliged to 
subscribe to the doctrine of a real Modality, including real Necessity 
and real Possibility" (CP 5.457).

Although Peirce was aware that at least some of the steps described 
above were important milestones in his development, he did not regard 
them as ushering in new systems of thought. According to Murphey, Peirce 
regarded each phase of his thought as merely a revision of "a single 
over-all architectonic system" and always preserved as much as he could 
from each earlier phase. His philosophy might be likened to "a house 
which is being continually rebuilt from within." (18)

Some scholars have not accepted the one-system account of Peirce's 
philosophy. Thomas Goudge, in particular, has argued that "Peirce's 
ideas fall naturally into two broad groups whose opposite character is a 
reflection of a deep conflict in his thinking" and that this opposition 
is the result of his conflicting commitment to both naturalism and 
transcendentalism. (19) By "naturalism" Goudge has in mind scientific 
philosophy more or less in the positivist sense, a philosophy that puts 
logical analysis on a pedestal and eschews speculation and 
system-building. Transcendentalism, on the other hand, discounts logical 
analysis in favor of metaphysical construction, embracing both 
speculation and architectonic. Peirce the naturalist tended to 
nominalism, while Peirce the transcendentalist tended to realism. It was 
Peirce the naturalist who was the pragmatist, while Peirce the 
transcendentalist tended to intuitionism. Goudge finds that Peirce's 
naturalism was the stronger tendency, which guided him in his researches 
in formal logic, semiotic, scientific method, phenomenology, and 
critical metaphysics, while the weaker transcendentalism "is most 
apparent in his views on cosmology, ethics, and theology." (20)

Goudge has indeed uncovered what may appear to be two Peirces, but the 
finding of most recent scholarship is that the tension is not as great 
as he thought. Peirce's philosophy is broad and subtle and appears to be 
able to accommodate results that would be incompatible in narrower 
systems of thought. It is not possible here to argue for the coherence 
of the various claims and doctrines that Goudge and others have found to 
be in conflict. The best that can be done is to outline the basic 
architecture of Peirce's philosophy and to give a glimpse of its overall 
unity.

For Peirce, as for Kant, logic was the key to philosophy. He claimed 
that from the age of twelve, after reading his brother's copy of 
Whately's Elements of Logic, he could no longer think of anything except 
as an exercise in logic. (21) Peirce's study of logic was not limited to 
the formal theory of deductive reasoning or to the foundations of 
mathematics, although he made important contributions to both. When he 
sought the professorship of physics at the Johns Hopkins (before being 
appointed part-time lecturer in logic), he wrote to President Daniel C. 
Gilman that it was as a logician that he sought to head that department 
and that he had learned physics in his study of logic. "The data for the 
generalizations of logic are the special methods of the different 
sciences," he pointed out, and "to penetrate these methods the logician 
has to study various sciences rather profoundly."

But it was not just as a theory of reasoning or as a critique of methods 
that logic was important for philosophy. "Philosophy," Peirce said, 
"seeks to explain the universe at large, and to show what there is 
intelligible or reasonable in it. It is therefore committed to the 
notion (a postulate, which however may not be completely true) that the 
process of nature and the process of thought are alike" (NEM 4:375). 
Whether completely true or not, if philosophy seeks to explain the 
universe at large, and if our explanations presuppose a rational 
organization of the universe—which, otherwise, would hardly be 
explicable at all—then we are, in effect, committed to the thesis that 
the process of nature is (or is like) a rational process. Logic, 
therefore, has more than heuristic value for philosophy.

It is important to bear in mind that when Peirce called himself a 
logician — the first and perhaps only person to have his occupation 
listed as "logician" in Who's Who — he was not thinking of himself as a 
logical technician or as a logicist who views logic as the deductive 
foundation for mathematics. Although his many contributions to technical 
logic—including his 1881 axiomatization of the natural numbers, his 1885 
quantification theory and introduction of truth-functional analysis, and 
his life-long development of the logic of relations—have considerable 
importance for the foundations of mathematics, his main concern was to 
build an adequate theory of science and an objective theory of 
rationality. His general conception of logic was closer to modern-day 
philosophy of science, together with epistemology and philosophical 
logic, than to today's mathematical logic. In his later years, Peirce 
gave a great deal of attention to the classification and relations of 
the sciences and he came to associate much of what we would today call 
mathematical logic with mathematics; logic, on the other hand, he came 
to regard as a normative science concerned with intellectual goodness 
and, in his most developed view, it is coextensive with semiotic, which 
constitutes the very heart of philosophy.

Source: http://www.iupui.edu/~peirce/ep/ep1/intro/ep1intrx.htm