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
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
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.
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
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?