berkeley and molyneux on retinal images
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University of Pennsylvania Press is collaborating with JSTOR to digitize, preserve and extend access to Journal of the
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Berkeley and Molyneux on Retinal ImagesAuthor(s): Colin M. TurbayneSource: Journal of the History of Ideas, Vol. 16, No. 3 (Jun., 1955), pp. 339-355Published by: University of Pennsylvania Press
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BERKELEY AND MOLYNEUX
ON RETINAL
IMAGES
BY
COLIN
M.
TURBAYNE
As
a
philosopher, Berkeley
had
many purposes.
The central
ones
were
to
refute
the
scepticism
inherent
in the
Newtonian
world,
to
criticize
the innovations
of the
philosophers,
natural
philosophers
and
mathematicians,
and to
demonstrate,
in
opposition
to
the
deistic
view
of a
distant
Deity,
the immediate
presence
of
God.
Berkeley
saw
that
the
chief
source
of
the
scepticism,
errors and
perplexities
beset-
ting
men's
minds
was the
prevailing
belief,
shared
by
the
common
man
and the
philosophers,
that
there are
material
entities
or
external
objects which are capable of existing whilst unperceived by any minds.
This
belief was an
essential
part
of
the doctrine which
Berkeley
called
materialism.
It
is
likely
that
Berkeley
was a
convinced
imma-
terialist
before he
wrote
the
Essay
Towards a New
Theory
of
Vision,1
and
even
before he
began
to
fill
his two
private notebooks,
now
called
the
Philosophical
Commentaries,2
but
it seems that
when
he
began
the
Commentaries,
he
had
found
neither
arguments
to
support
his
conviction,
nor
answers to
possible objections.
By
the
time
he
began
to write the Principles of Human Knowledge,3 he had found his argu-
ments,
and
knew
how
to
answer all
the
objections
to
immaterialism
that
he
could think
of.
One
important
objection
constitutes
the
Third
Objection
in
the
Principles.
This is
based
on
the
facts of
vision: .
. .
we
see
things
actually
without or
at
a
distance from
us,
and
which
consequently
do not
exist in
the
mind.
4
Consideration
of
this
difficulty
gave
birth
to
the
Essay.5
The
above
objection
was
the
view of
the
common man.
He
thought
that
external
objects
can
be directly seen. The philosophers, e.g., Locke, Malebranche and
Descartes,
corrected this
mistake
of
the
vulgar,
and
asserted that
external
objects
can
be
seen
only
mediately
or
indirectly by
means of
certain
immediate
objects
of
sight
which
do not
exist
outside the
mind
and
which
are
images
or
resemblances
of
external
things.6
Berkeley
felt
that
if
the
views
either
of
the
common
man
or
of
the
philosophers
were
correct,
then
immaterialism
was
impossible.
In
the
Principles,
Berkeley
indicates what
the
Essay
had
accom-
plished.
It had shown that:
.
.
.
the
proper
objects
of
sight
neither
exist
without the
mind,
nor
are
the
images
of
external
things.7
Published
1709.
Hereafter
referred o
as
Essay.
2Written
circa
1707-08.
So
named
by
A.
A.
Luce
in
his
Editio
Diplomatica
(Edinburgh,
1944).
Hereafter
referred
o
as
Com. or
Commentaries.
3
Published
1710.
Hereafter
referred
o as
Prin.
or
Principles.
4Prin.,
42.
5Ibid.,43.
6
Cf. Prin., 56. Ibid., 44.
339
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340
COLIN
M.
TURBAYNE
This
passage presents,
on
Berkeley's
considered
view,
two
important
conclusions
of the
Essay
and,
it
would
seem,
the two
important
con-
clusions
concerningvision,
from
the
standpoint
of the
metaphysicsof
the
Principles.
The
first conclusionwas
intended to answer
the
ob-
jection
of
the
common
man. The
second,
that
the
proper
objects
of
sight
are not the
images
of external
things,
was
intended to
refute
the
doctrine of
the
philosophers.
On
my
view,
Berkeley,
while
working
on
the
psychology
of
vision,
made
a
unique
discovery
which
was
not
only
far
out of
the common
road for that
subject,
but
which
was
also of
paramount
importance
to
his
metaphysics,
enabling
him
to
reach the conclusionwhich undermined he doctrine of the philoso-
phers.
I
hope
to
show
what that
discovery
was and
to
present
the
steps
which
led
Berkeley
to
it.
The
explicit
design
of
the
Essay,
however,
is
not
to
establish
the
two
conclusions
mentioned
above.
Berkeley
says:
My
design
is
to
show
the
manner
wherein we
perceive
by
sight
the
distance,
magni-
tude,
and
situation of
objects;
also
to
consider
the
difference
here
is
betwixt
the
ideas of
sight
and
touch,
and
whether
there be
any
idea
commonto both senses. Accordingly, he argumentis expressed n
the
four
main
divisions of
distance,
magnitude,
situation
and
hetero-
geneity.
The two
important
conclusions
(from
the
standpoint
of
the
Principles)
are
proved
in
the
divisionon
distance
and the
division on
situation,
respectively.
Throughout
the
Essay,
Berkeley
is
not
concerned to
deny
the
existence
of
external
objects.
He
seeks
to
establish
what
might
be
called
an
immaterialism
only
of
vision.
He
distinguishes
two
kinds
of objectsof sight.8 By mediationof the proper,primaryor immedi-
ate
objects,
which
are
colors,
we
are
able
to
perceive
the
secondary,
mediate
or
improper
objects
of
sight.
The
latter
are what
we nor-
mally
say
we see.
Whenever
we
say
that
something
we
see is
far
or
near,
big
or
small,
high
or
low,
we refer to
these
objects.
In
the
Essay,
Berkeley
regards
he
secondary
objects
of
sight
as
instances
of
tangible
objects.9
Moreover,
he
identifies
them
with
external, i.e.,
material
objects
in
external
space.10
Although
Berkeley's
theory
of
vision
was
subsequently
to
become
the
accepted
theory,
the
publication
of
the
Essay
drew
little
atten-
8
Essay,
50,
51.
9
Ibid.,
50,
where
he
states
that
they
properly
belong
to
touch.
See
also
46,
99,
117,
etc.
llIbid.,
111,
117,
etc.
See
also
Prin.,
43:
For
that
we
should
in
truth
see
external
space,
and
bodies
actually
existing
in
it,
some
nearer,
others
farther
off
....
11T.
K.
Abbott, Sight
and
Touch
(1864),
p.
1,
writes:
If
we
were
challenged
to
point
out a
single discovery
n
mental sciencewhichis universallyadmitted,we
should
at
once
name
the
Theory
of
Vision
of
Bishop
Berkeley.
Its
success
has
been,
indeed,
extraordinary.
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BERKELEY
AND
MOLYNEUX ON
RETINAL
IMAGES
341
tion.
Nevertheless,
there was at
the time a
widespread
interest
in
the
subject
of
vision.
Berkeley's
two main authorities
were
Molyneux
and Malebranche. To the former's Dioptrica Nova (1692) and the
latter's Recherche de la
Verite
(1674)
he owed
much,
although
he
never
acknowledged
his debt
to
Malebranche.
Molyneux's
work
was
his
point
of
departure.
Berkeley regarded
it
as
an
expression
of
the
received
view
on
such
subjects
as
dioptrics,
anatomy,
the manner
by
which
we
see
things
at
a
distance,
and
the
problem
of
retinal
images.
From
Malebranche's
Recherche,
it
appears
likely
that
Berkeley
(as
well
as
Molyneux)
obtained
valuable information on
the
treatment
of distance and
magnitude.
Other
writers of
optics,
whom
Berke-
ley
studied
carefully,
were
Newton,
whose
Opticks
had
only
recently
been
published
(1704),
Isaac Barrow
12
and Descartes.13
In
spite
of
their
differences,
the writers
of
optics
shared
two
features
which
Berkeley by
his
genius
avoided,
and
thereby
not
only
created
a
new
subject
but
proposed
a
new
theory.
First,
the
writers
of
optics
confused
the
psychology
of
vision with
geometrical
optics
and
anatomy. Molyneux's Dioptrica
Nova
is
representative, al-
though
it did
take
advantage
of
the
New
Philosophy.l4
In
his
treat-
ment of
how
we see
things
at
a
distance,
Molyneux
mixed
psycho-
logical
and
geometrical
explanations.
For
example,
he
said that
the
distance
of
near
objects
is
perceived
by
the
turn
of
the
eyes,
or
by
the
angle
of
the
optic
axes.
15
Malebranche
mixed
the
categories
in
exactly
the
same
way.16
Turning
the
eyes
in
or
out is
experienced,
but
the
accompanying optic
angle
is
an
abstraction.
Berkeley
was
not opposed to geometrical optics, just as he was not opposed to
physics.
As he
was later
to
indicate
that
such
useful
entities
as
gravity
and
attraction
are
mathematical
hypotheses,
and
not
any-
thing
really
existing
in
nature,
17
so he
says
in
the
Essay
that,
al-
though
they
are
useful,'8
lines
and
angles
have
no
real
existence
in
nature,
being
only
an
hypothesis
framed
by
the
mathematicians.
19
He
saw
that
just
as
children
and
idiots,
although ignorant
of
the
laws
12
Lectiones
Opticae
et
Geometricae
1669).
13
Dioptrique
(1637);
first Latin
edition
(1644).
14
William
Molyneux
(1656-1698),
who like
Berkeley
attended
Trinity
College,
Dublin,
was
a
champion
of
Locke.
He
speaks
highly
of
him
in
the
dedication.
Locke's
Essay
was
introduced
by
him
to
Trinity
College
before
Locke
was
known
at
either
Oxford
or
Cambridge.
He
and
Locke
frequently
corresponded
n
the
nine-
ties.
They
became
close
friends,
although
they
met
only
once,
shortly
before
Moly-
neux's
death.
See
Locke,
Some
Familiar
Letters
.
.
.
(1706).
15
Op.
cit.,
113,
my
italics.
16
Op.
cit.,
I.
ix.
3,
in
his
statement
of
the
first of
the
six
means
for
judging
distance.
17Siris, 234. 1878. 1914.
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342
COLIN
M.
TURBAYNE
of
physics,
can feel
that
a rock is
heavy
or
light,
so
they
can see
things
far or
near
without
knowing
the
principles
of
geometrical optics:
an
obvious truth which the opticians, in their zeal to geometrize
vision, ignored.
However,
some of them did
hint at
a new
approach.
Barrow
said that
the
received
principles
were
inadequate.20 Molyneux
said that
some
problems
demanded
enquiry
into
the
soul's
faculties;
which
is not the
proper
subject
of
this
discourse.
21
Berkeley clearly
distinguished
his
own
subject
from
optics, geometrical
optics, diop-
trics,
catoptrics
and
anatomy,
albeit
regarding
it as
a
part
of
phi-
losophy:
To
explain
how
the
mind
or
soul
of man
simply
sees is one
thing,
and
be-
longs
to
philosophy.
To consider
particles
as
moving
in certain
lines,
rays
of
light
as
refracted or
reflected,
or
crossing,
or
including angles,
is
quite
another
thing,
and
appertaineth
o
geometry.
To
account for the
sense
of
vision
by
the mechanism
of the
eye
is
a third
thing,
which
appertaineth
o
anatomy
and
experiments.22
Thus, although
he
asked
the same
question
as his
precursors,
How
do we come to see things in space? he tried to answer it in terms
only
of
what
we
actually
experience.
In
confining
himself to
these
terms,
Berkeley
delineated
the
boundaries of
a new
subject
and
thereby
provided
a
significant
philosophical
advance.
Secondly,
in their answer to
the
above
question,
the
essential
doc-
trine of
the writers
of
optics
was that
the
act of
seeing
is an
act
of
judgment.
This was a
Cartesian
view.
Descartes23
and Male-
branche
24
used the
verb
juger.
Molyneux
said that
the
manner
by
which we see
things
at a distance is rather the act of our
judg-
ment,
than of
sense.
25
Such an
act
of
judgment
involves
the
pres-
ence
of a
necessary
connexion,
and
therefore,
of
ideas held
in
common,
between
the
objects
actually
intromitted
by
the
eye
and
those
ob-
jects
which
we
ordinarily
see
in
space.
Berkeley
noted
that
the
writers of
optics
imagined
that
we
see
things
in
the
same
way
as we
reach
a
conclusion in
mathematics,
betwixt
which
and
the
premises
it is
indeed
absolutely
requisite
there be
an
apparent, necessary
con-
nexion. 26
Thus,
on
this
view
we
judge
of
the
near
distance
and
situation
of
things
outside us
by
a
kind
of
innate
geometry,
27
just
as
a
blind
man
would
be
able,
by
holding
two
crossed
sticks,
one
in
20
He
looked
forward o
the
time
when
the
manner
of
vision is
more
perfectly
made
known.
Quoted
n
Essay,
29.
21
Op.
cit.,
105.
22
The
Theory
of
Vision
Vindicated
and
Explained
(1733),
43.
Hereafter re-
ferredto
as
the
Vindication
r
T.V.V.
23
Op.
cit.,
VI.
24
Op.
cit.,
I.
ix. 3.
25
Op.
cit.,
113.
26
Essay,
24.
27
Ibid.,
appx.
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BERKELEY
AND
MOLYNEUX
ON
RETINAL
IMAGES
343
each
hand,
to
judge
of the distance
and
situation
of
objects.28
On
the denial
of
all
this,
Berkeley's
whole
theory depends.
29
He agreedwith the writersof optics that the properor primaryob-
jects
of
sight
are
colors
at
no
distance
off.30
He
agreed
that
we
do
in
fact see
bodies
in
space,
some
near,
others
farther off.31
We
have
seen
that
he
called
these
secondary
objects
of
sight,
that he
regarded
them
as
instances of
tangible
objects,
and
that
in
the
Essay
he
as-
sumed
them to
be
identical
with
external
or
material
objects.32
He
agreed
that
the
problem
was
to
discover
how
we come to see
bodies
in
space,
when
colors
only
are
intromitted
by
the
eye.
At
this
point,
Berkeleyand the writersof optics diverged. The latter assumedthat
the
connexion
between the two
sorts
of
objects
is
necessary,
because
they
own
identical
properties
such as
shape,
size
and
situation.
Berkeley
saw
that
if
this
were
true,
a man
born
blind
and
made
to
see,
would
be
able
to
recognize
bodies
in
space
by sight
alone.33
After
reflection,
Berkeley
concluded
that
such a
feat would
forever
lie
be-
yond
his
attainments.
The
once-blind
man
would
come
to
recognize
bodies
in
space
only
after
painstaking
experience
nvolving
the
con-
stant and
long
associationof
ideas of
touch
and
sight.
It
seems to
me
almost
certain
that
Berkeley
found
the
clue
for
this
important
conclusion
rom
the
works
of
neither
of
his two
main
authorities,
but
from
a
certain
jocose
problem
which
Molyneux
sent
in
a
letter
to
Locke
in
1693.34
Locke
published
t
as
follows:
Suppose
a
man
born
blind,
and
now
adult,
and
taught
by
his
touch
to
dis-
tinguish
between
cubeand
a
sphereof
the
same
metal,
and
nighly
of
the
samebigness, o as to tell, whenhe felt one andthe other,whichis the
cube,
which
the
sphere.
Suppose
hen
the
cube
and
sphereplaced
on
a
table,
and
the
blind
man
to
be
made
o
see;
quaere,
Whether
by
his
sight,
before
he
touched
hem,
he
could
now
distinguish
nd
tell
which
s
the
globe,
which
the
cube?
35
28Cf.
Malebranche,
p.
cit.,
I. ix.
3,
. ..
un
aveugle
...
pourrait
par
une
espece
de
geometrie
naturelle,
uger
a
pen
pres
de la
distance
de
quelque
corps
....
Des-
cartes'
expression
s:
ex
geometria
quadam
omnibus
nnata, quoted
by
Berkeley,
ibid.
29
Essay,appx.
3lIbid.,
43,
50;
T.V.V.,
42.
Cf.
Malebranche,op.
cit.,
I.
ix.
3,
Nos
yeux
nous
les
representent
outes
dans
une
meme
distance, quoiqu'il
soit tres
raisonnable
d'en
croire
quelques-unes
eaucoup
plus
6loign6es
de
nous
que
les
autres.
3
See
above,
note
10.
32
See
above,
text
to
notes
9
and 10.
33
T.V.V.,
44.
34
See
Locke,
Fam.
Letters.
Molyneux
writes,
Mar.
2nd,
I
have
proposed
[it]
to
divers
very
ingenious
men,
and
could
hardly
ever
meet
with
one,
that
at
first
dash
would
give
me
the
answer
to
it
which
I think
true
till
by
hearing
my
reasons
they
were
convinced.
Locke
replied
immediately,
Mar.
28,
Your
ingenious
problem
will
deserveto
be
published
o
the world.
5
Essay
Concerning
Human
Understanding,
nd ed.
(1694),
II.
ix.
8.
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344 COLIN M.
TURBAYNE
None of the
writerson
optics
whom
we are
considering, xcept
Moly-
neux,
has
provided
us
with an
answer o this
problem,
but the
affirma-
tive solution
subsequently
ventured
by
Leibniz
36
doubtlessindicates
what theirs would be.
Locke and
Molyneux
answered
n
the
nega-
tive.37
Berkeley agreed,
but
gave
to their answer
a
significance
which
they
missed. From
his view that
the once-blindman
would
never
be
able to
make
such
an
elaborate
nference
as
Leibniz
supposed,
Berke-
ley
inferred hat
we
cannot see
bodies
n
space
(i.e.,
secondaryobjects)
until
we
have
touched
some
of
them
while we look.
He
was,
accord-
ingly,
able
to
deny
the common
errour
of the
opticians
that there
is
a
necessary
connexionbetween
the
primary
and
secondaryobjects
of
sight;
to
deny
that
they
have identical
properties
such as
shape
and
size,
even
though
they
share
identical
names,
and to
deny
that we
see
by
means of
lines
and
angles.
He asserted
that the
connexionbe-
tween
the
primary
and
secondary
objects
of
sight
is
learned,
the
former
objects
suggesting
the
latter.38
The
heterogeneity
of
sight
and
touch
was
the main
part
and
pillar
39
of
Berkeley's heory
of
vision.
It distinguishedhis theoryfrom all preceding heories. He appliedit
to
all
the
problems
of
vision,
including,
as we
shall
see,
the
tantalizing
problem
of
the
inverted
retinal
image.
The
two
important
conclusions
regarding
vision,
from
the stand-
point
of
the
metaphysics
of the
Principles,
established
n
the
Essay,
were
(to
repeat):
(1)
The
properobjects
of
sight
do not exist
without
the
mind; (2)
The
proper
objects
of
sight
are
not the
images
of
ex-
ternal
things.
Berkeley
need
not have
proved
the first of
these,
be-
cause it was the
accepted
view of
the
philosophers.40
The
second
is
uniquely
Berkeley's.
It is
contrary
o
the essential
doctrine,
not
only
36
Leibniz,
Nouveaux
Essais
(1765),
II.
ix.
8,
maintained
hat
there
are
elements
common
to
the
two sets of
experiences,
e.g.,
shape,
and
concluded
that
the
once-
blind
man
could
distinguish
he
cube
and
sphere
by
the
principles
of
reason,
com-
bined
with
what
sensuous
knowledge
he
has
previously
acquired
by
touch,
though
not
perhaps
immediately.
He
argued
that
we all
have
rudiments of a
natural
geometry,
and
that the
above
feat
could be
performed
by
dint of
reasoning
about
rays according to the laws of optics (my italics). 37
Molyneux's
answer
was,
of
course,
ncompatible
with
the
doctrine
which
dominates
his
earlier
Dioptrica
Nova,
but I
have no
evidence
that he
noticed
this.
38
It is
sometimes
held
that
Berkeley
meant that
the
passage
from
the
proper
objects
of
sight
to
external
objects
is
of the
nature of
judgment
or
inference.
He
does
sometimes
use
the
word
judgment,
but when
he
seeks
precision,
e.g., Essay,
50;
T.V.V.,
42,
his
term
is
suggestion.
39
T.V.V.,
41.
40
See
Locke,
op.
cit.,
II.
viii.
8; 13;
Malebranche, p.
cit.,
Reponse
a
M.
Regis:
Je
suppose
comme
une
verite
incontestable
que
les
couleursne
sont
point
repandues
sur les objets,mais qu'ellessont uniquementdans 'ame.
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BERKELEY
AND MOLYNEUX ON
RETINAL
IMAGES
345
of
the
philosophers,41
but,
as
we shall
see,
of
the
writers
of
optics.
It
is
proved
n the
Essay
as
a
by-product
of
his
treatment
of the
problem
of
the inverted
retinal
image
at
the
end
of the
division on
situation.
Sections 88-120 of the Essay constitute one of the most subtle and
profound
passages
in
Berkeley's
writings.
The
remark of
Thomas
Reid
about the whole
Essay
is
appropriate
to
this
division:
He
seems,
indeed,
to
have exerted
more
force of
genius
in this than
in
the
main
branchof his
system.
2
It
is a
masterpiece
of the
procedure
of
insinuating
the truth
by
degrees.43
Statements made at
the outset
as
though true,
are
not
denied until
the
close,
and even
then,
the
whole
truth
(as
Berkeley
sees
it)
is
suggested
rather
than
stated.
Berkeley
presents
the
problem:
There
is
at
this
day
no
one
ignorant
that the
pictures
of
external
objects
are
painted
on
the
retina,
or fund
of
the
eye:
That we
can see
nothing
which
is
not
so
painted.
.
. .
But
then
in
this
explication
of
vision there
occurs
one
mighty
difficulty.
The
objects
are
painted
in
an
inverted
order
on
the
bottom
of
the
eye
....
Since
therefore
the
pictures
are
thus
inverted,
it
is
demandedhow
it comes
to
pass
that we
see the
objects
erect and
in
their
natural
posture?
44
In
the above
passage,
we must
distinguish
Berkeley's presentation
of
the
general
theory
regarding
retinal
images:
that
they
are
images
of
external
objects,
from
his
treatment of
the
difficulty
embodied
in
this
theory:
that we
see
objects
erect,
although
their
images
are in-
verted on the
retina.
Berkeley
first
treats
the
subsidiary
problem:
How
do
we see
things
erect
when
their
images
are
painted
inverted on
the
retina?
He
con-
siders the traditional solution, which according to
Molyneux
is al-
lowed
by
all
men
as
satisfactory.
45
He
summarizes
Descartes' ac-
count,
but
Molyneux's
has
almost
identical
features:
The
mind
takes
no
notice
of
what
happens
to
the
rays
in
the
eye
by
refraction
or
decussation,
but
.
.
.
hunts back
by
means
of
each
pencil
of
rays
to
the
source
in
the
upper
or
lower
part
of
the
object.46
There
is
the
41
See
Locke, op. cit.,
II.
viii.
8-15.
His
official
view
was
that
our
ideas
of
pri-
mary qualitiesexactly resemble he primaryqualitiesof externalobjects. See also
Malebranche,
op.
cit.,
VIe
Zclaircissement.
He
concluded,
through
revelation,
though
not
by
reason,
hat
there
is
actually
outside us
an
external
world
resembling
that
which
we see.
42
Essay
on the
Powers
of
the
Human
Mind,
I,
230.
43This
procedure
s
most
marked
in
the
Essay,
which
is
a
half-way
house to
immaterialism,
ut
it
is,
in
fact,
the
manifestationof
a
maxim
of
Berkeley's:
He
that
would
bring
another
over to
his
opinion,
must seem
to
harmonizewith
him
at
first,
and
humourhim
in his
own
way
of
talking
....
Commonplace
Book,
from
Fraser,
Works,
,
92.
Not
included
n
the
Commentaries
s
edited
by
Luce.
44
Essay,
88.
45
Op.
cit.,
289.
46
Ibid.,
my
italics.
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BERKELEY
AND
MOLYNEUX
ON RETINAL
IMAGES
347
representation
is there
perceived
by
the sensitive
soul
....
We
are
likewise
to
observe,
that
the
representation
of the
object
on the fund
of the
eye
is
inverted.49
Newton's
account,
in the
Opticks,
is
similar. 0
Berkeley
held
that
the
accepted
view
was not
only
that
pictures
or
images
on
the retina
are
inverted
and
copy
external
objects,
but
that
they
are
the
proper
or
immediate
objects
of
sight.51
At
the end
of
the
division,
Berkeley
gives
his
final
solution
(for
the
Essay)
to
the
problem
of
the
inverted
retinal
image.
At
the
same
time,
he
throws
doubt
upon
all
the
features of
the
accepted view re-
garding
retinal
images,
and
proves
that
the
proper objects
of
sight
are
not
the
pictures
of
external
objects.
He
begins
by
accepting,
for
the
time
being,
an
important
assumption
of
the
writers of
optics:
Let
us
suppose
the
pictures
in
the
fund of
the
eye
to
be
the
immediate
objects
of
sight.
52
He then
presents
the
key
to his
remarkable
in-
sight
upon
the
whole
subject
of
retinal
images:
Farther,
what
greatly
contributes o
make
us
mistake in
this
matter
is
that
when we think of the pictures in the fund of the eye, we imagine ourselves
looking
on
the
fund
of
another's
eye,
or
another
looking
on
the
fund
of
our
own
eye,
and
beholding
he
pictures
painted
thereon.53
This
is
the
root
cause
of
the
delusion
to
which
not
only
the
writers
of
optics
in
Berkeley's
day
were
prone,
but into
which
we
all
fall.
Not
even
Newton
escapes:
For
anatomists,
when
they
have
taken
off
from
the
bottom
of
the
eye
that
outwardand most thick coat called the Dura Mater, can then see through
the
thinner
coats,
the
pictures
of
objects
lively
painted
thereon
(this
only
excepted,
hat the
pictures
shall be
inverted).54
In
what
follows,
Berkeley
uses
the
situation
proposed
by
Newton,
but
unlike
him,
avoids
the
attendant
delusion:
Suppose
two
eyes
A
and
B;
A
from
some
distance
looking
on
the
pictures
in
B
sees
them
inverted,
and
for
that
reason
concludes
they
are
inverted in
B.
49pp. 104-105.
50
I.
.
vii.
Light
which
comes
from
the
object
shall
illuminate...
and
thereby
make
a
picture
like
the
object
in
shape
and
colour,
this
only
excepted,
that
the
picture
shall
be
inverted.
He
does
not
state
that the
pictures
on
the
retina
are
perceived
by
the
sensitive
soul,
but he
goes
on
to
say
that
these
pictures
...
are
the
cause
of
vision.
51
See
T.V.V.,
50,
where
he
states
that
the
view
that
retinal
mages
are
the
proper
objects
of
sight,
is
vulgarly
supposed
by
the
writers
of
optics.
52
Essay,
114.
53
Ibid.,
116,
my
italics.
54
Opticks,I. 1.vii.
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BERKELEY
AND MOLYNEUX
ON
RETINAL IMAGES
349
but
he does
not mean those
things
painted
on the retina which
can
be
seen
after removal
of the dura
mater
from an
eye.
He
does
not
mean
any
such
secondary
objects.
He means retinal
images
con-
sidered as the
primary
or immediate
objects
of
sight.
They
cannot
be
seen in the normal
sense
of
see.
The
eye
B sees
only
what
is
represented
by
the
little
pictures
in
A.
They
are
all
B
sees,
in
the
strict or
primary
sense
of
see.
Although
the writers
of
optics
intended
to
distinguish
the
primary
from
the
secondary
objects
of
sight, they
nevertheless
thought
that
the former
could be
seen.
In
fact, therefore, by giving
to
retinal
images
characteristics
belonging
to
secondary
objects,
they
confused
them.
Secondly,
from
the fact
that we
can see
inverted retinal
images
in
another
eye,
we cannot
correctly
conclude
that
the
proper
objects
of
sight
are
inverted. To
do
so is
again
to
confuse
the
secondary
with
the
proper
objects
of
sight.
As
Berkeley
states
it,
the
eye
A,
look-
ing
on the
pictures
in B
sees
them
inverted,
and
for
that
reason con-
cludes
they
are inverted in
B;
But this is
wrong.
The
writers
of
optics fell into the same error. The cause of their delusionwas that
they
forgot
that
while
looking,
they
were
looking through
an
inverting
lens.
In
Berkeley's
example,
what
A
sees
on
B's
retina,
cannot be on
B's
retina because
of
the
inverting
lens
which
A
wears.
Thus,
if
reti-
nal
images
are
secondary
objects
of
sight,
then
they
are
inverted.
But
if
they
are
regarded
as visible
primary
objects,
then
they
are
erect.
Thirdly,
retinal
images
or
pictures
are
so-called,
because
when
we
consider
hem,
we
always
imagine
a
situation,
similar
to
that
proposed
by Newton, and analyzedby Berkeley. We imagineourselves look-
ing
on
the
fund
of
another's
eye,
or
another
looking
on
the
fund of
our
own
eye
and
beholding
the
pictures
painted
thereon.
We call
them
pictures
or
images
because we
notice
they
exactly
copy
larger,
so-called
originals.
Fourthly,
if
the
assumption
of
the writers
of
optics,
that
retinal
images
or
pictures
on
the retina
are
the
properobjects
of
sight,
is
up-
held,
then
we
can
see
(strictly
speaking)
nothing
but our
own
pictures
which we must compare,not with external objects, but with other
pictures
of
our
own.
As
Berkeley
states
it
in
the
forementioned
xam-
ple,
the
eye
B
sees
only
what
is
represented
by
the
little
pictures
in
A,
while
for
the
eye
A,
the
archetypes
are
not
things
existing
with-
out,
but
the
larger
mages
projected
on
its own
fund.
These
passages
embody
two
closely
connected
conclusions
which
(on
my
view)
mani-
fest
Berkeley's
most
significant
discovery
in
vision:
We see
(strictly
speaking)
nothing
but our
own
pictures,
and:
The
archetypes
of
our
picturesareotherpicturesof our own.
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350
COLIN
M.
TURBAYNE
If
this second
conclusion
s
true,
then
the
general theory
of
New-
ton,
Molyneux
and
the otherwriters
of
optics
regarding
etinal
images,
which
Berkeley
stated at the
beginning
of the divisionon
situation,
is
false.
This was:
There
is at
this
day
no
one
ignorant
that
the
pic-
tures
of external
objects
are
painted
on
the
retina,
or fund
of
the
eye.
59
However,
f
pictures
on
the
retina
are
agreed
o
be the
proper
objects
of
sight,
then
it
follows
that
the
properobjects
of
sight
are
not
the
images
of external
things. This,
it will
be
recalled,
was one of
the
two
important
conclusions
which
Berkeley
n the
Principles
considered
the
Essay
had established.
Thus,
not
only
was
the
doctrine
of
the
writers
of
optics refuted,
but
also
the
doctrine
of
the
philosophers.60
One
important
factor
seems
to
nullify
Berkeley's
refutation
of
the
doctrineof the
philosophers.
It is
exceedingly
doubtful
whether
the
philosophers
assumed,
with the
writers
of
optics,
that
retinal
images
are
the
proper
objects
of
sight.
So
far,
Berkeley
has not
explicitly
denied
this
assumption.
Moreover,
f
it
is
required,
Berkeley's
meta-
physical
conclusion s
of doubtful
validity,
because retinal
images
are
suspiciouslylike external objects. However, on my view, Berkeley
did
not
believe that
retinal
images
are
the
properobjects
of
sight,
but
did
believe that this
important
metaphysical
conclusionstill
retained
its
truth.
First,
in
the
penultimate
section of
the division
on
situation,
Ber-
keley
appears
o
relinquish
he
assumption
hat retinal
images
are
the
proper
objects
of
sight:
. . . the visible eye, as well as all othervisible objects,hath been shownto
exist
only
in
the
mind,
which
perceiving
ts
own
ideas,
and
comparing
hem
together,
calls
some
pictures
in
respect
of
others.61
But
this is
not
conclusive,
and
Berkeley
does
not
seem to
want to
make an
explicit
denial.
Such
reticence is
in
line
with his
policy
of
insinuating
the
truth
by
degrees.
He has
already
clarified
the
am-
biguity
in
the
opticians'
use of
the
term
retinal
images,
by
show-
ing
that
it
may
refer
either
to
those
objects
which
we
can
actually
see,
i.e., secondaryobjects,or to those objectswhichwe cannotsee,
except
as
infants or
after
being
couched
or
blindness,
.e.,
primary
objects
of
sight.
There
is
really
little
need
for
him
to
provide
the
whole
truth
as he
sees
it,
for
the
Essay
is
a
work
on
vision,
and
he
has
refuted the
writersof
optics,
if
not the
philosophers,
without
doing
so.
But
there
is
little
doubt
that
Berkeleyregards
he
identification
of
the
two
kinds
59
See
above,
text to
notes
44,
49,
and
note
50.
60
See
above,
text
to
notes 7, 41.
61
Essay,
119.
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BERKELEY
AND MOLYNEUX
ON RETINAL
IMAGES
353
to the
years
of
Manhood,
When
he looks
up
or turns
up
his head he
shall
behold wt
we call
under.
Qu:
wt
would he think
of
up
& down?
70
Berkeley never directly answered his own question, and never used
this
device
of the
man
wearing
inverting spectacles
in
any
of
his
works. But the
implied
answer
to
the
question
is
that
for
such a
man,
the terms
up
and
down,
left
and
right
would
have
the
same
pragmatic
meanings
as
they
have
for
us.
If
he were
asked
to
point
to
the
moon,
he would
point
where we
point.
If
asked
to
paint
a
landscape,
he
would
not
need to
exhibit it
upside
down in
any
gal-
lery.
I
say
that
this
answer
is
implied
for two
reasons:
first,
because
of the
way Berkeley
wrote the
entry.
It is as if he were
saying:
The
vulgar
view is that
such
a
man
would
see the world
upside
down,
but
would
he
not
really
see
it
erect?
Secondly,
if
Berkeley
thought
that
such a
man
would
see
the
world
inverted,
then
his answer
would
be
contrary
to
the
whole
tenor of
his
account
of
situation
in
the
Essay.
This Pickwickian
problem
had
been
troubling
Berkeley
for
some
time.
Earlier
in
the
Commentaries,
he
had
posed
the same
problem
but
seemed
to be
ignorant
of
the answer.7
Suddenly,
it
seems,
the
correct
answer
came to him.
But this
answer
presupposes
in
Berkeley
that
knowledge
which
he
possessed
when
writing
the
closing parts
on
situation
in
the
Essay.
The
person
wearing
inverting
spectacles
from
birth
lives
constantly
with
his own
visible ideas
and with
nobody
else's.
Having
nothing
else
but
his own
visible
ideas with
which
to
compare them,
he
would
experience
no
more
difficulty
in
learning
to
see
than
any
other
child,
and
would
always
obtain
an
internally
cor-
rect
view of
the
world. He would determine the situation of the
things
he saw
in
relation
to his
own
constant set.
Berkeley
would
have
been
able to
provide
the
correct solution
to
this
problem
if
he
had
possessed
the
knowledge
which
he
had while
writing
on
the
prob-
lem
of
the
inverted
retinal
images
in
the
Essay.7
This
knowledge
is
70
Com.,
278.
71
See
Corn.,
148.
72
Apart
from
its
metaphysical
significance,
Berkeley's
solution
illuminates his
attitude to two theoriesdesigned o explainerect vision: the projection heory and
the
eye-movement
heory
(see
above,
note
48).
On the
former,
he
inverted
retinal
image
is
necessary
o
erect
vision.
Apparently
without
the
help
of
experiment,
he
produced
an
answer
incompatible
with
this
theory.
His
solution
amounts
to
the
theory
that
erect vision
is
independent
of
whatever
inversionsor
even
distortions
(as
long
as
there
is
uniformity)
the
rays
of
light
may
undergo
before
they
reach
the
retina.
For
example,
harmony
between
touch
and
sight
may
be
achieved
after
wear-
ing
either
inverting
or
pseudoscopic
perspectives.
(See
in
this
regard
G.
M.
Strat-
ton,
loc.
cit.,
above,
note
48.
Stratton's
experiment
proves
that
erect vision
may
be
re-acquired
n
an
adult
after
a
mere eight days of wearingan invertinglens.) On
the
eye-movement
heory,
the
felt
direction
of
the
turn of
the
eyes
is
the
test of
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354
COLIN
M.
TURBAYNE
embodied
in what I
consider to be
Berkeley's
most
significant
dis-
covery
within
the
subject
of
vision.
That
Berkeley
himself
so
regarded
it is
strongly
indicated
by
the
fact
that it came
to him as
a result of his work
on that
problem
of
vision which he
held to be the most
fruitful,
albeit the most
difficult;
for, twenty-five
years
later,
he wrote:
The
solution
of
this
knot about
inverted
images
seems the
principal
point
in
the
whole
optic
theory,
the most
difficult
perhaps
to
comprehend,
but
the
most
deserving
of our
attention, and,
when
rightly
understood,
he
surest
way to lend the mind into a thorough knowledgeof the true nature of
vision.73
It is
strange
that,
in
spite
of the
emphasis
which he
placed
on
this
problem,
authorities
have
generally
neglected Berkeley's
treatment
of
it,74
and
have
tended to
regard
as
the main
point
of his
theory
the
doctrine
that
we do not see bodies
in
space
outside
us
(owning
size
and
situation)
immediately;
75
a doctrine
which,
in
fact,
was
the ac-
cepted
view
of
the
optical
writers
and
philosophers
who
preceded
Berkeley,
and which he took over from them. As we have
seen,
Berke-
ley's
discovery,
if
true,
shattered the over-all
theory
about
retinal
images
held
by
the
writers
of
optics.
But
the
factor which
gives
most
weight
to
my
view,
and
which,
had
it
been
noticed
by
authorities on
Berkeley's theory
of
vision,
might
have induced
them to
study
more
carefully Berkeley's
account
of
retinal
images,
is
this:
Berkeley's discovery
opened
the
way
for
his
subsequent
refutation of
the
prevailing metaphysical position
of his
situation.
Berkeley
vacillated on this
subject.
In the
Essay,
the test is the
experi-
enced motion
of
the
eye.
In the
Vindication,
it is the various
motions of the
head. It is
difficult to
discover
why
Berkeley
did not use the device of the man
wearing
inverting
perspectives
in the
Essay,
but the
way
in which he stated
the
facts: . .
.
when he looks
up
or
turns
up
his head
..
.
,
suggests
a reason. When
one looks
through
an
inverting
lens,
one must turn
up
the
eyes
in order to see
down,
but
one
must
turn
up
the
head
in order
to
see more
of
upper
objects.
Thus,
Berke-
ley,
who was
acquainted
with
inverting
lenses,
may
have seen
that the
performance
of a man wearing an inverting lens might disprove his eye-movement theory. At
any rate,
in
the
Essay,
he
kept
the
eye-movement theory
and
omitted to deal
with
the
confusing
subject
of
double
inversion.
In the
Vindication
he
had come to
rely
on more
massive muscular sensations such as head movements.
This
allowed
for
erect
vision
for
a man
wearing
an
inverting
lens,
even
though
he would turn
up
his
eyes
in
order
to
see down.
73
Vindication,
50.
74
A
prominent
exception
is
A.
A.
Luce, Berkeley
and
Malebranche,
Ch. II.
75
E.g.,
Samuel
Bailey,
A
Review
of
Berkeley's
Theory of
Vision
(1842);
cf.
Ch.
I; also T. K. Abbott, op. cit.
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