List,

I very much appreciate Jeff bringing up the topic of the influence of Plato
on Peirce. Perhaps, like many Peirce scholars,I've been led (rightly or
wrongly is the investigatory question) to think of Peirce as much more akin
to Aristotle than to Plato and in some matters of logic he certainly does
seem closer to Aristotle; and by his own admission. So I decided to do a
keyword search of the EP and CP of 'Plato' (not Platonism, which I think is
a very different matter with a strikingly different emphasis) in an attempt
to discover for myself what he actually thought about Plato. I'm going to
offer some of the passages I found to be helpful in my review -- and
subsequent partial reconsideration of -- Plato's influence on Peirce..

Rather than present all the passages at once, I'm going to post two or
three a day and, if I have the time this week, I'll send all my succinct
summaries and sources of the quotations to come so that interested folk can
read them in advance and in context should they wish to.

Remembering reading philosophy texts in my 20's and 30's in libraries or
used book stores, in old editions which occasionally had a short precis in
boldface small print on the upper left side of each item, sometimes each
paragraph, I've included my own succinct summary of each quotation so that
forum members can quickly decide if they want to read that particular item.
I have little doubt that some of my summaries may miss the mark and need
correcting. Nonetheless, here are today's quotations preceded by my summary.

*****

*Summary of EP 2:35: Peirce argues that in Plato's later works he shifts
from a Theory of Ideas to view eternal essences  as mathematical, not as
things with 'Actual Existence' but as having 'Potential Being'. Plato’s
philosophy evolves to view ideas as mathematical forms with relationships
akin to numbers, thus perhaps moving in the direction of seeing them as
continuous.*

The dialogue of the Sophistes, lately shown to belong to Plato's last
period,— when he had, as Aristotle tells us, abandoned Ideas and put
Numbers in place of them,—this dialogue, I say, gives reasons for
abandoning the Theory of Ideas which imply that Plato himself had come to
see, if not that the Eternal Essences are continuous, at least, that there
is an order of affinity among them, such as there is among Numbers. Thus,
at last, the Platonic Ideas became Mathematical Essences, not possessed of
Actual Existence but only of a Potential Being quite as Real, and his
maturest philosophy became welded into mathematics. EP 2:35


* Summary of EP 2:37-38: Peirce highly praises Plato’s vision of science,
especially in so far as he corrected the Heraclitan error of "holding the
Continuous to be Transitory and . . . making the Being of the Idea
potential." But he also criticizes him for  overlooking two types of
causation and for making Matter a negative, "a mere non-Being." Plato
focused only on internal causes (form and matter) while Aristotle pointed
out the need to consider external causes (efficient and final), and Peirce
slightly modifies Aristotle's assessment. Peirce suggests Plato’s
philosophy is fundamentally about relationship (3ns), but Plato
misunderstood his own ideas by focusing on duality and dichotomy. But
neglecting external causes he is also actually overlooking 2ns.*

[I]n regard to the general conception of what the ultimate purpose and
importance of science consists in, no philosopher who ever lived, ever
brought that out more clearly than this early scientific philosopher [viz.
Plato]. Aristotle justly finds fault with Plato in many respects. But all
his criticisms leave unscathed Plato's definitive philosophy, which results
from the correction of that error of Heraclitus which consisted in holding
the Continuous to be Transitory and also from making the Being of the Idea
potential. Aristotle for example justly complains that of the four kinds of
causes Plato only recognizes the two internal ones., Form and Matter, and
loses sight of the two external ones, the Efficient Cause and the
End.Though in regard to final causes this is scarcely just, it is more than
just, in another respect. For not only does Plato only recognize internal
causes, but he does not even recognize Matter as anything positive. He
makes it mere negation, mere non-Being, or Emptiness, forgetting or perhaps
not knowing that that which produces positive effects must have a positive
nature. Although Plato's whole philosophy is a philosophy of
Thirdness,—that is to say, it is a philosophy which attributes everything
to an action which rightly analyzed has Thirdness for its capital and chief
constituent,—he himself only recognizes duality, and makes himself an
apostle of Dichotomy,— which is a misunderstanding of himself. To overlook
second causes is only a special case of the common fault of all
metaphysicians that they overlook the Logic of Relatives. But when he
neglects external causes, it is Secondness itself that he is overlooking.
This self-misunderstanding, this failure to recognize his own conceptions,
marks Plato throughout. It is a characteristic of the man that he sees much
deeper into the nature of things than he does into the nature of his own
philosophy, and it is a trait to which we cannot altogether refuse our
esteem.
EP 2: 37-38


*Commentary: In his introduction to "The Seven Systems of Metaphysics" in
the 1903 Harvard Lecture Series, Nathan Houser writes: "Peirce aligns
himself with the seventh system, arguing for the reality of all three
categories. . ." EP 2:179 Note: Both Plato and Aristotle are included in
this system, Aristotelianism being characterized as "a special development"
of the Platonic philosophy.*

The metaphysics that recognizes all the categories may need at once to be
subdivided. But I shall not stop to consider its subdivision. It embraces
Kantism,—Reid's philosophy and the Platonic philosophy of which
Aristotelianism is a special development.
EP 2:180


Best,

Gary R
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