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Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)THE JOURNAL OF
Aesthetics and Art Criticism
TA TRRREN Voz, WN.
Vorume XXII, No. 1
FarL 1963
Contents
PAGE
-— 3
Two Philosophies and Classical Art
WLADYSLAW TATARKIEWICZ
9
Art and Spiritual Validity
ALBERT HOFSTADTER
21
Creativity, Expression, and Value Once Again
25
Landscape Painting Effects in Pope’s Homer
29
Croce’s Early Aesthetics: 1894-1912
43
Croce and Vico
47
Russian Aesthetics Today and Their Historical Background
MAX RIESER
55
Perception and Meaning in Serial Music
ALFRED PIKE
63
Toward a Theory of Style and Change
JOSEPHINE MILES
69
A Third Note on Eighteenth-Century ‘‘Disinterestedness”
JEROME STOLNITZ
71
Letters Pro and Con
JOSEPH MARGOLIS
DAVID RIDGLEY CLARK
MERLE E. BROWN
ANGELO A. DE GENNARO
Contributors: Lincoln Rothschild, Helmut Hungerland, D. Zwemmer, Juergen Schulz
15
Reviews
Contributors: Van Meter Ames, David Thoreau Wieck, Alfred Neumeyer, Rudolph
H. Weingartner, Robert Branner, William S. Weedon, Stephen C. Pepper, William
John Emblom, Juergen Schulz, Herbert L. Carson, Robert Winston Kretsch, Paul
Zucker, Campbell Crockett
93
Books Received
96
Notes and News
99
Internationa! News and Correspondence
j
101 Selective Current Bibliography for Aesthetics and Related Fields
The Journal of Aesthetics and Art Criticism: Wohime XXII, Number I, Fall 1963. Published quarterly by
The American Society for Aesthetics at Wayne State University: College of Liberal Arts and University
Press, and The Cleveland Museum of Art. Printed by The Waverly Press, Inc., at Mt Royal and Guilford Avenues, Baltimore 2, Maryland. Copyright®, 1963 by The American Society for Aesthetics. Second
class postage paid at Baltimore, Maryland. For information about subscriptions, see next page.
>
Examines the influence of what it regards as two important
philosophical currents on the conception
and
development
of ancient Greek art, namely, the philosophy of Pythagoreanism and the ideologies associated with the Sophists.
Remarks that while the former was reflected in art works
in the conception of beauty as numerical and mathematical
proportion, the latter created the notions of the reproductability of nature and distortional perspective.
Page 2
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)Two Philosophies and Classical Art
Author(s): Wladyslaw Tatarkiewicz
Source: The Journal of Aesthetics and Art Criticism, Vol. 22, No. 1 (Autumn, 1963), pp. 3-8
Published by: Blackwell Publishing on behalf of The American Society for Aesthetics
Stable URL: http://www.jstor.org/stable/427840 .
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Page 3
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)WLADYSLAW
TATARKIEWICZ
Philosophies and
Classical
Art
The Pythagorean view of beauty and
the world is well documented. Aristotle
(Metaph. N. 5) writes: "The so-called Pythagoreans who were the first to study mathematics hold its principles to be the principles of all existence and have discovered
that harmony depends on numerical properties and proportion.... They saw harmony and number in the whole of the
heavens."
From late antiquity there is the evidence
I
of Stobaeus, who says (Ecl. IV. 1) that ac1. During the classical period the Pythag- cording to the Pythagoreans "order and
orean philosophy attracted many followers proportion are beautiful and useful, disorin Greece. Pythagoras himself was dead but der and lack of proportion ugly and usehis teachings had been propagated by dis- less." Elsewhere (Ecl. I, proem.) he writes:
"You can see the nature of number and its
ciples. Though of remote origin-Pythagoras flourished far off in Italy in the 6th power not only in the things of the gods
century-his philosophy penetrated in the but everywhere in human works and in
5th century to Athens, the center of con- words, in all the products of art and music."
The Sceptic, Sextus Empiricus, states
temporary culture. Its basic tenets were as
follows: beauty lies exclusively in order and (Adv. Math. VII, 106): "No art is created
harmony; and order and harmony are no- without proportion and proportion lies in
thing but simple numerical proportion. It number. It can be said that it is number
is this proportion which rules the universe; which gives beauty to all things. This is
it is the source of its harmony and makes it what the Pythagoreans maintain." Theon
the "cosmos" (which means order). The of Smyrne writes (Mathematica I) that in
seeker after the true, the good, and the their view music is simply the embodiment
beautiful will find it in the universe; there- of the whole order of the world, which takes
fore he should contemplate the universe the form of harmony in the universe, of law
and arrange his life and his art in accord- in the state, and of sensible
living in the
ance with its eternal laws.
home.
The Pythagorean concept of beauty was,
WLADYSLAW TATARKIEWICZis a noted Polish histherefore, primarily numerical and mathetorian of philosophy and an aesthetician of the
matical and held that beauty resided in proPolish Academy of Sciences in Warsaw. He is the
portion. Another feature of this concept was
author of a History of Aesthetics (Historia Estethat it was cosmocentric: it maintained that
tyki, vol. 1: Estetyka Starozytna, vol. 2: Estetyka
Sredniowieczna [Wroclaw-Krakow, 1960]).
beauty appeared in the universe and in naOF PHILOSOPHY on art,
weaker at certain perihas
been
it
though
ods than others, has usually tended to be
strong. Classical antiquity is an example of
it at its most conspicuous. What made it
even more remarkable was that not one, but
that two different, even opposed, philosophies stamped themselves on art, sometimes
on the same work.
THE INFLUENCE
Page 4
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)ture, and that the artist's only task was to
discern this cosmic beauty and transfer it
to his work.
2. At the same time as this cosmocentric
doctrine was being brought to Athens by
Doric teachers, Ionian thinkers in the city
itself were developing a completely different philosophy. Theirs was an anthropocentric doctrine: it hinged not on the universe,
but on man, and was summed up in Protagoras' famous dictum: "Man is the measure
of all things." The true, the good, and the
beautiful are referable, not to the universe,
but to man. The proper business of philosophy is to study man. This was a doctrine
shared by Socrates and the Sophists; although the gulf between them in other matters was wide, they both upheld this principle and this humanist outlook. The result
was inevitably a conception of beauty and
art different from the Pythagorean.
Judging from the sources that survive,
Socrates was the first to expound the idea
that the function of arts like painting and
sculpture is to imitate reality. "On entering
the house of Parrhasius the painter one
day," Xenophon relates (Mem. III, 10),
"he asked in the course of a conversation
with him: 'Is painting a representation of
things seen? Anyhow, you painters with
your color represent and reproduce figures
high and low, in light and shadow, hard and
soft, rough and smooth, young and old.'
'True,' he replied. 'And further when you
copy types of beauty, it is so difficult to
find a perfect model that you combine the
most beautiful details of several, and thus
contrive to make the whole figure look beautiful.' "
The reproduction of reality by the
painter or sculptor in paint or in marbleand similarly by the poet in verse-must,
if it is to act on the spectator or the listener,
create an illusion; it must to a certain extent trick them, contrive a fake reality
where it does not exist. This was the conclusion drawn by the near-Sophist, Gorgias:
"The word is a great conqueror," he wrote
(Helena 8); "it achieves the most divine
things. The power of song united with the
imagination of the soul charms, seduces,
and changes it with its spell. It is an art
WLADYSLAW
TATARKIEWICZ
of magic and witchcraft, of deceiving the
soul and deluding the imagination. But
this deception and delusion is justified and
right, for it lies in the very nature of art."
Gorgias said, "we are told by Plutarch (De
Glor. Ath., 5, 348c) that he who deceives
is juster than he who does not, and he who
lets himself be deceived wiser than he who
refuses."
Thus a theory of art evolved from the
Sophist philosophy completely different
from the Pythagorean: for the latter art was
a matter of consonance with the universe;
for the former, with fiction; one saw its key
in truth; the other, in illusion.
Plato followed the Pythagoreans in his
views on beauty and art. He considered
that only those proportions which ruled the
universe were perfect and that art should
conform to them; it should, like every honest human undertaking, cling to the truth.
On the other hand, he saw that the art of
his day had followed the directions of
Gorgias into a different course: it took
account of human illusions, of the imperfections of human vision and the deformations of perspective, and correspondingly
changed the proportions of things, distorted
and falsified them.
He wrote about true beauty and art in
the Philebus (64 E): "Measure and proportion are everywhere identified with beauty
and virtue.... If we cannot catch the good
in one idea, let us run it down with three:
beauty, proportion, and truth." Again in
the Timaeus (87 C): "If the artist is intent
upon what is unchanging and uses this as
his model, when he tries to realize its shape
and power, the result is consummate and
beautiful."
He contrasted this with art and beauty,
as they were sometimes understood by his
times, in the Sophist (235 Eff.): some artists,
he says, when making statues or painting
pictures change the proportions in order to
please the eyes of the spectator. Plato was
persuaded that those who act in this way
are wrong because they are producing not
likenesses but shams and so are guilty of
forgery and repudiation of the proportions
which are truly beautiful. He distinguished
between two different and contradictory
Page 5
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)Two Philosophies and Classical Art
philosophies of art: the Pythagorean, which
was his own, and the Sophist, which was
the philosophy of his enemies.
II
5
but his examples were drawn from the architects of the classical era.
For the temples the module used to calculate proportion was the triglyph. It was
axiomatic that the column has a breadth
of two modules. The proportions of the
portico and the whole temple were also
canonical: for instance, a 6-column portico,
as in the Theseum, had to have a width of
27 modules; each column was two modules,
the intervals between the two outside columns 2.7 modules and between the inside
columns 3.2 modules. The basic ratio between column and interval was 2:3:2, that
is 5:8. The same ratio obtained between
triglyph and metope.
Theaters also had their architectural
canon. Their construction was a geometrical exercise performed with line and compasses. Circles and squares marked out the
limits of the stage, the proscenium, the orchestra, the division of the auditorium into
blocks of seats, and the direction of the
steps. However big the theater, the proportions of its parts were specified by the
canon; Vitruvius describes it (V, 6 & 7)
but it had been enforced for many centuries
before his day (we find it already in the
Theater of Dionysus in Athens).
The canons applied not only to the
whole of the building but also to its details.
An example is the fluting of the column:
the Doric column had twenty flutes, the
Ionian twenty-four. Their depth was also
canonical and geometrically measured: in
the Doric column the flute was the arc of
a circle whose center was the intersection
of the diagonal of the square on the chord
of the flute; in the Ionian column it was
designed with the help of the "Pythagorean" triangle.
(b) The canons also prescribed the proportions of artistic handicrafts such as
vases. According to the research of the
American scholars, Hambidge and Caskey,
these proportions, though they cannot be
expressed in integers, follow a geometrical
ratio:
With these philosophies holding sway in
classical Greece, what was the effect on art?
Did it follow the Pythagorean or the Sophist ideology, or did it take some other
course?
1. It is certain that the Pythagorean doctrine had a distinct influence on art. The
main token of this was the imposition of
canons. "Canon" is the name given in art
to those of its forms and proportions in
particular which are to be universally accepted by all artists, and which are obligatory and incumbent on them. At different
times canons are mandatory for different
reasons, but usually out of religious and
social considerations; in Greece the source
of their authority was less religious and
social than philosophical and aesthetic;
they derived from the belief, disseminated
by the Pythagoreans, that there is a perfect
proportion and that it alone should be the
standard. It should be noted that the word
"canon" originally meant no more than a
straight rod as used by builders, and only
later acquired the sense of a perfect and
obligatory measure. In fact it was a popular
tradition among the Greeks that Pythagoras was the first man to give it this meaning. This story epitomizes the influence of
his philosophy on art. The imprint of
Pythagorean canons can be seen in architecture as well as in sculpture and handicrafts.
(a) In architecture, says Vitruvius, the ancient authority on this subject, good composition "arises from proportion, and proportion consists in taking a fixed module, both
for the parts of the building and for the
whole" (III, 1, 1). By module was meant
some accepted unit. In other words architecture was a matter of calculation and
number-in keeping with the views of the
Pythagoreans. Number decided the shape
1:-T(1), 1:-0/2, 1:N/3, 1:\/4(2), 1:V5.
of the temple as well as that of the theater,
of the whole building as well as of each
(c) Sculpture is discussed by Galen (De
detail. Vitruvius wrote in late antiquity, Plac. Hipp. V):
"Beauty resides in the pro-
Page 6
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)portion of finger to finger, of finger to
wrist, of wrist to hand, of hand to elbow,
of elbow to shoulder as laid down in the
'Canon of Polyclitus.' " Vitruvius states (III,
1) that the face (from the hairline to the
chin) should be /0 th of the body and
divisible into three equal parts: the forehead, the nose, and the chin. The proportions of the statue were not arbitrarily decided by the sculptor; they were legislated
in the canons in accordance with Pythagorean philosophy and its belief that only one
proportion was perfect.
(d) No painting from the classical era
survives (except on vases), but it can be
presumed that this too was subject to the
canons. Vitruvius is referring not only to
famous sculptors but also to famous painters when he wrote that "they used their
knowledge of proportion and thereby
earned themselves eternal and undying
glory."
We still have to clarify the nature of the
canon adopted in classical architecture,
sculpture, and painting.
(a) It was a "physiometric" canon, (as
Panofsky calls it)-that is, it was derived
from nature and the anatomy of living men
and was not claimed to be the invention of
artists. On the contrary, it was employed in
art precisely because it was the rule of
nature.
(b) For the artists of classical Greece the
canon was an ideal towards which they
groped rather than a ready-made blueprint
that was available for all time. There was
a moment when they seemed on the brink
of its discovery; but they changed their
calculations and continued to search. For
some time the proportions of the human
body followed the canon of Polyclitus; later
these rules were revised by Euphranor and
the proportions became more slender.
(c) The canon was always set out in very
simple mathematical terms; but there were
two possibilities-either arithmetical numbers or geometrical figures like the circle or
the square. The canon laying down the
proportions of the human body was expressed not only in the statement that the
well-built body has certain specified numerical proportions but also in the phrase
aner tetragonos, homo quadratus, meaning
WLADYSLAW
TATARKIEWICZ
that when he stretches his legs and arms he
can be enclosed in a square, a geometrical
figure.
(d) The canons of the classical Greeks
were arrived at partly by observation and
measurement of living beings (in painting
and sculpture), partly by the rules of statics
(in architecture), but above all by philosophical deduction: perfect proportions are
fulfilled in the universe; human works must
therefore follow them, for no others can be
perfect. Since nature has fashioned the human body in a certain way, writes Vitruvius
(III, 1, 4), the ancients were right to plan
their buildings according to the same proportions.
This outlook is of course the result of
philosophical influences on art. They came
from a doctrine which avowed the perfection of certain numbers and geometrical
figures. They were introduced by the "socalled Pythagoreans," as Aristotle called
them, and reinforced by Plato, who adopted
their views.
2. The classical art of Greece, however,
also reflects traces of the philosophy of
Gorgias and the Sophists. For it made allowances for the way in which optics and
perspective change the shape of objects
perceived. The Greek artist took account
not only of the nature of the universe but
also of the nature of man.
(a) We know from literary sources (since
there are no remains extant) that this idea
asserted itself strongly in painting. It was
during the classical period, in Plato's lifetime, that perspective was introduced; this
kind of painting was known as "skiagraphy." When we look at a circle from below,
we see an ellipse; if we are to see a circle,
the artist must draw an ellipse. This was
known by both artists and theoreticians in
antiquity. It was stated, for instance, by
the Greek mathematician and engineer,
Damianus (ed. R. Sch6ne, 28), who wrote
that a circle has sometimes to be drawn as
an ellipse if it is to appear a circle; likewise
a square must be drawn as a rectangle; in
particular, objects which are placed at a
height appear to have different shapes from
those which they have in fact.
Classical painters were also aware that
distance changes and blurs outlines; a me-
Page 7
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)Two Philosophies and Classical Art
ticulously painted figure will be unrecognizable from afar, whereas brush strokes
which are formless at close quarters will
give the impression of a human figure seen
at a distance. This was the same principle
as that ushered in by the impressionists in
the nineteenth century. The Greeks discovered it in the fifth century B.C. when
they began painting theater scenery and
had to allow for the distance at which it
would be viewed. They therefore called
their impressionistic painting "scenic" or
"scenography."
It was skiagraphy and scenography which
aroused the protest of Plato, the upholder
of the Pythagorean tradition and thus a
firm believer in the beauty of the universe,
who looked upon any attempt by the artist
to change this beauty or to seek another
beauty as madness. On the other hand,
there were different reactions from other
philosophers of the day; the naturalists, for
instance, were intent on studying this problem in detail and on finding the laws of
optics which account for alterations in the
shape of things seen. Democritus and
Anaxagoras, who were the best of them,
sought to "show how, if a fixed center is
taken for the outward glance of the eyes
and the projection of the radii, we must
follow these lines in accordance with a natural law such that from an uncertain object uncertain images may give the appearance of buildings in the scenery of the stage;
and how what is figured on vertical or
plane surfaces can seem to recede in one
part and project in another" (Vitruvius,
VII, pr. 11).
(b) Similar speculations on the need for
distortion and illusion appeared in sculpture. This requirement was dictated in cases
where the sculptures would have to be
viewed from a distance, mainly when they
were placed high above the ground. Those
who produce some large work of painting
and sculpture, writes Plato, do not follow
the proportions of the original, in length,
breadth, or depth. "For if they reproduced
the true proportions of beautiful forms, the
upper parts would seem smaller and the
lower parts longer than they ought, because
we see the former from a distance, the latter
from near at hand.... So the artists aban-
7
don the truth and give their figures not the
actual proportions but those which seem to
be beautiful" (Sophist 235 E ff.).
There is a famous story about Phidias
related by the Byzantine scholar Tzetzes,
who despite his living as late as the tenth
century is a reliable source (Historiarum
variarum Chiliades, VII, 353 ff.). Commissioned to carve a statue of Athene which
was to stand on a tall column, Phidias made
the goddess' head bigger than the canon
prescribed. The people of Athens took exception; their views on art were as realistic
and cosmocentric as Plato's, and they shared
his abomination of distortion and of art
which created an illusion. Phidias was hard
put to defend his statue, but he appealed to
them to wait until it was in its appointed
place. It was only then that the Athenians
understood the great sculptor. The final
formulation of this approach was the words
of Lysippus recorded by Pliny: "The artist
of old showed people as they were; I show
them as they seem to be" (Hist. Nat. XXIV,
65).
(c) Similarly in architecture, as Vitruvius
writes (III, 3, 12), "what the eye cheats us
of, must be made up by calculation." Taking this into account, the Greek architects
thickened the middle of the column and
broadened the outside columns of the
portico, which would otherwise have seemed
more slender because of the
stronger light
shed on them. This illusion also needed to
be corrected; the Greeks varied the width
of the columns so that the viewer would
have the impression that they were all the
same. Vitruvius wrote (III, 3, 13) that "unless we flatter its [the eye's] pleasure
by proportionate alterations of the module..., an
uncouth and ungracious aspect will be
presented to the spectator." To achieve an effect of symmetry in some places, additions
have to be made to the real
symmetry (adiectiones) and deductions from others (detractiones). He called these alterations adjustments (temperaturae). This idea is as
crucial in the theory of Greek architecture
as the canon.
In classical Greek architecture there are
other departures from the rule and other
adjustments, namely, deviations from the
straight line. Since they are comparatively
Page 8
Voir dans le PDF(s’ouvre dans une nouvelle fenêtre)slight, they were not noticed until as late
as 1837 by Pennethorne and presented in
detail by Penrose in 1851. Measurements
revealed them in the best works of architecture, in which they occur in almost every
line. It has been said with little exaggeration that there is not a single straight line
in the Parthenon. These irregularities are
to be found in vertical and horizontal lines
alike; both the columns and the architraves
are slightly out of "true."
What is the explanation? One suggestion
is that these irregularities were an adjustment of the eye's tendency to bend a
straight line; the architect had to bend it
in the opposite direction to make it appear
straight. This is the most probable answer.
But it is likely that there was yet another
consideration: the avoidance of a stiffness
and monotony that is tiring to the eye. In
that case these adjustments would have
been used in architecture for the same reason that the painter does not use line and
compasses to compose his picture.
In this way the classical art of the Greeks
WLADYSLAW
TATARKIEWICZ
mirrored two theories of beauty and art
which were the outgrowth of two philosophies: the cosmocentric doctrine of the
Pythagoreans and the anthropocentric doctrine of the Sophists. These two philosophies were not only different but also virtually contradictory. Nevertheless they left
their mark on the same art. The artistic
good taste of the Greeks was plastic enough
to accommodate them both. Their artists
could reconcile truth and illusion, "canons"
and temperaturae. The Greek canons having their origin in the aesthetic of the
Pythagoreans were of a universal nature,
mandatory for all artists and all works of
art. But they left some latitude for temperaturae, adjustments, exceptions, modifications suggested by the aesthetic of Gorgias
and the Sophists. They, on the contrary,
encouraged the individual spark in art.
This gave the art of Greeks the virtues
which seem mutually exclusive but which
it was a measure of their genius to blend:
obedience to general rules and individual
freedom.