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ORDER OUT OF CHAOS
Classical Concepts in Art and Beauty
PLATO
Ideals and Inspiration: Order out of Illusions.
Horizon Illusion
A
B C
Ictinus & Callicrates, Parthenon
trompe l’oeil, Pompeii
Intelligible
World
visible world
The
Good
The Mind
The True
The Beautiful
Recognition of:
The Good
The True
The Beautiful
understanding
reasoning
proofs
forms
geometric forms
functions
formulae
The Sunordinary things
beliefs
sensations
imaginings
Youknowbestthatwhichchangesleast
Thatwhichchangesleastismostreal
How do you know? What is real?
<3 sided figure>
illusions, shadows
<Pythagorean Theorem>
instantiation
The Eye
Plato’s Simile of the Line
ideals
things
Ideals
art
instantiation
mimesis
Plato’s Simile of the Line
Mimesis is, according to Plato, a copy of a copy of an ideal, thrice
removed from the truth. It mimics some of the properties of the
original without including the ideal function.
“I do not mean by beauty of form such
beauty as that of animals or pictures,
which the many would suppose to be my
meaning; but understand me to mean
straight lines and circles, and the plane
and solid figures which are formed out of
them by turning lathes and rulers and
measures of angles; for these I affirm to
be not only relatively beautiful, like other
works of art, but they are eternally and
abstractly beautiful.”
–Plato Philebus 51c
Uccello’s Chalice
Masaccio
Trinity
“Perspective is to painting
what the bridle is to the
horse, the rudder to a ship.”
—Leonardo
Raphael, School of Athens
Leonardo Figure Studies
“There are three aspects
to perspective. The first
has to do with how the
size of objects seems to
diminish according to
distance: the second, the
manner in which colors
change the farther away
they are from the eye; the
third defines how objects
ought to be finished less
carefully the farther away
they are.”
—Leonardo
Leonardo, Last Supper
“…sculpture and painting are in
truth sisters, born from one
father, that is, design, at one
and the same birth, and have
no precedence one over the
other…”
“…design, which is their
foundation, nay rather, the very
soul that conceives and
nourishes within itself all the
parts of man's intellect, was
already most perfect before the
creation of all other things,
when the Almighty God, having
made the great body of the
world and having adorned the
heavens with their exceeding
bright lights, descended lower
with His intellect into the
clearness of the air and the
solidity of the earth…”
—Vasari
Michelangelo Battle of Cascina
PLATO’S IDEAL BEAUTY
Ideals, with a capital ‘I’, sometimes called Forms are,
according to Plato, are what is real, and are eternal and
unchanging. There are three Ideals: Goodness, Truth, and
Beauty. Examples of lesser ideals, with a small ‘i’, might be
ratios, formulae and geometric forms. Beauty, as an Ideal, is
the abstract, intelligible value by which the cosmos (including
appearances, things, and ideals) are constituted, ordered, and
made intelligible.
PLATO’S IDEAL BEAUTY
Examples of Beauty as an Ideal are found in architecture and
architectonics, perspective, geometric shapes, and compositional
forms and ratios such as the Golden Mean. The Golden Mean,
considered one of the perfect ratios, represented by a point on a line
segment (C) that divides it such that the smaller segment (A) stands in
relation to the larger segment (B) in the same relation that the larger
segment stands to the whole (A:B = B:C). Other forms put forth as
candidates for Ideal Beauty are Platonic Solids and the Fibonacci
Sequence. Platonic Solids are the pyramid, cube, octahedron,
dodecahedron, and icosahedron. Each of these have faces that are
identical, regular polygons meeting at the same three-dimensional
angles. The Fibonacci Sequence is a sequence of numbers each of
which is the sum of the two previous numbers. 1, 1, 2, 3, 5, 8, 13, 21, .
. . ,. Examples in painting might include architectonics.
Reason
Emotions
Appetites
Rulers
Soldiers
Crafts workers
Wisdom
Courage
Self-control
Justice
Plato’s Ideal Polis
TRIPARTITE
SOUL
Plato’s Psychology
The Human Soul
Reason
Emotions
Appetites
Self-control–a
birth of the
cool
Plato’s Psychology
Parthenon Metope, Centaurs and
Lapiths
“God devised and bestowed upon us
vision to the end that we might behold
the revolutions of Reason in the Heaven
and use them for the revolvings of the
reasoning that is within us, these being
akin to those, the perturbable to the
imperturbable; and that, through learning
and sharing in calculations which are
correct by their nature, by imitation of the
absolutely unvarying revolutions of the
God we might stabilize the variable
revolutions within ourselves.”
–Plato Timaeus 47c
Polykleitos’ Doryphorus
PLATO—TEMPERANCE
Temperance (self-control) is the psychological disposition
achieved when Ideal Beauty orders the soul, it is a harmony
between the parts of the soul.
INSPIRATION: EMOTIONS WITHOUT
KNOWLEDGE
Reaso
n
Emotions
Appetites
Reason
Emotions
Appetites
Reason
Emotions
Appetites
Reason
Emotions
Appetites
Muse
Audience
For all good poets, epic as well as lyric, compose their beautiful poems not by art,
but because they are inspired and possessed. And as the Corybantian revellers
when they dance are not in their right mind, so the lyric poets are not in their right
mind when they are composing their beautiful strains: but when falling under the
power of music and metre they are inspired and possessed
PLATO—INSPIRATION
Inspiration, a form of mimesis involving a psychological state
in which, according to Plato, emotions are transmitted from
one person to another without transmission of knowledge.
REFLECTIONS
What aesthetic terms would you use to describe the Viet
Nam War Memorial? The film?
Where would Plato place the Viet Nam War Memorial on his
Simile of the Line? Where would you?
Is the Viet Nam War Memorial mimetic or inspirational, in
Plato’s senses of the terms?

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460.01a order out of chaos plato

  • 1. ORDER OUT OF CHAOS Classical Concepts in Art and Beauty
  • 2. PLATO Ideals and Inspiration: Order out of Illusions.
  • 4. A B C Ictinus & Callicrates, Parthenon
  • 6. Intelligible World visible world The Good The Mind The True The Beautiful Recognition of: The Good The True The Beautiful understanding reasoning proofs forms geometric forms functions formulae The Sunordinary things beliefs sensations imaginings Youknowbestthatwhichchangesleast Thatwhichchangesleastismostreal How do you know? What is real? <3 sided figure> illusions, shadows <Pythagorean Theorem> instantiation The Eye Plato’s Simile of the Line
  • 7. ideals things Ideals art instantiation mimesis Plato’s Simile of the Line Mimesis is, according to Plato, a copy of a copy of an ideal, thrice removed from the truth. It mimics some of the properties of the original without including the ideal function.
  • 8. “I do not mean by beauty of form such beauty as that of animals or pictures, which the many would suppose to be my meaning; but understand me to mean straight lines and circles, and the plane and solid figures which are formed out of them by turning lathes and rulers and measures of angles; for these I affirm to be not only relatively beautiful, like other works of art, but they are eternally and abstractly beautiful.” –Plato Philebus 51c Uccello’s Chalice
  • 9. Masaccio Trinity “Perspective is to painting what the bridle is to the horse, the rudder to a ship.” —Leonardo
  • 11. Leonardo Figure Studies “There are three aspects to perspective. The first has to do with how the size of objects seems to diminish according to distance: the second, the manner in which colors change the farther away they are from the eye; the third defines how objects ought to be finished less carefully the farther away they are.” —Leonardo
  • 13. “…sculpture and painting are in truth sisters, born from one father, that is, design, at one and the same birth, and have no precedence one over the other…” “…design, which is their foundation, nay rather, the very soul that conceives and nourishes within itself all the parts of man's intellect, was already most perfect before the creation of all other things, when the Almighty God, having made the great body of the world and having adorned the heavens with their exceeding bright lights, descended lower with His intellect into the clearness of the air and the solidity of the earth…” —Vasari Michelangelo Battle of Cascina
  • 14. PLATO’S IDEAL BEAUTY Ideals, with a capital ‘I’, sometimes called Forms are, according to Plato, are what is real, and are eternal and unchanging. There are three Ideals: Goodness, Truth, and Beauty. Examples of lesser ideals, with a small ‘i’, might be ratios, formulae and geometric forms. Beauty, as an Ideal, is the abstract, intelligible value by which the cosmos (including appearances, things, and ideals) are constituted, ordered, and made intelligible.
  • 15. PLATO’S IDEAL BEAUTY Examples of Beauty as an Ideal are found in architecture and architectonics, perspective, geometric shapes, and compositional forms and ratios such as the Golden Mean. The Golden Mean, considered one of the perfect ratios, represented by a point on a line segment (C) that divides it such that the smaller segment (A) stands in relation to the larger segment (B) in the same relation that the larger segment stands to the whole (A:B = B:C). Other forms put forth as candidates for Ideal Beauty are Platonic Solids and the Fibonacci Sequence. Platonic Solids are the pyramid, cube, octahedron, dodecahedron, and icosahedron. Each of these have faces that are identical, regular polygons meeting at the same three-dimensional angles. The Fibonacci Sequence is a sequence of numbers each of which is the sum of the two previous numbers. 1, 1, 2, 3, 5, 8, 13, 21, . . . ,. Examples in painting might include architectonics.
  • 17. Reason Emotions Appetites Self-control–a birth of the cool Plato’s Psychology Parthenon Metope, Centaurs and Lapiths
  • 18. “God devised and bestowed upon us vision to the end that we might behold the revolutions of Reason in the Heaven and use them for the revolvings of the reasoning that is within us, these being akin to those, the perturbable to the imperturbable; and that, through learning and sharing in calculations which are correct by their nature, by imitation of the absolutely unvarying revolutions of the God we might stabilize the variable revolutions within ourselves.” –Plato Timaeus 47c Polykleitos’ Doryphorus
  • 19. PLATO—TEMPERANCE Temperance (self-control) is the psychological disposition achieved when Ideal Beauty orders the soul, it is a harmony between the parts of the soul.
  • 20. INSPIRATION: EMOTIONS WITHOUT KNOWLEDGE Reaso n Emotions Appetites Reason Emotions Appetites Reason Emotions Appetites Reason Emotions Appetites Muse Audience For all good poets, epic as well as lyric, compose their beautiful poems not by art, but because they are inspired and possessed. And as the Corybantian revellers when they dance are not in their right mind, so the lyric poets are not in their right mind when they are composing their beautiful strains: but when falling under the power of music and metre they are inspired and possessed
  • 21. PLATO—INSPIRATION Inspiration, a form of mimesis involving a psychological state in which, according to Plato, emotions are transmitted from one person to another without transmission of knowledge.
  • 22. REFLECTIONS What aesthetic terms would you use to describe the Viet Nam War Memorial? The film? Where would Plato place the Viet Nam War Memorial on his Simile of the Line? Where would you? Is the Viet Nam War Memorial mimetic or inspirational, in Plato’s senses of the terms?