115. But, say you, the picture of the man is inverted, and yet the

appearance is erect. I ask, what mean you by the picture of the man, or,

which is the same thing, the visible man’s being inverted? You tell me it

is inverted, because the heels are uppermost and the head undermost?

Explain me this. You say that by the head’s being undermost, you mean that

it is nearest to the earth; and, by the heels being uppermost, that they

are farthest from the earth. I ask again, what earth you mean? You cannot

mean the earth that is painted on the eye or the visible earth—for the

picture of the head is farthest from the picture of the earth, and the

picture of the feet nearest to the picture of the earth; and accordingly

the visible head is farthest from the visible earth, and the visible feet

nearest to it. It remains, therefore, that you mean the tangible earth;

and so determine the situation of visible things with respect to tangible

things—contrary to what hath been demonstrated in sect. 111 and 112. The

two distinct provinces of sight and touch should be considered apart, and

as though their objects had no intercourse, no manner of relation to one

another, in point of distance or position(402).

116. Farther, what greatly contributes to 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 the pictures painted thereon. 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_. But this is wrong. There are projected in little on the bottom of _A_

the images of the pictures of, suppose, man, earth, &c., which are painted

on _B_. And, besides these, the eye _B_ itself, and the objects which

environ it, together with another earth, are projected in a larger size on

_A_. Now, by the eye _A_ these larger images are deemed the true objects,

and the lesser only pictures in miniature. And it is with respect to those

greater images that it determines the situation of the smaller images; so

that, comparing the little man with the great earth, _A_ judges him

inverted, or that the feet are farthest from and the head nearest to the

great earth. Whereas, if _A_ compare the little man with the little earth,

then he will appear erect, i.e. his head shall seem farthest from and his

feet nearest to the little earth. But we must consider that _B_ does not

see two earths as _A_ does. It sees only what is represented by the little

pictures in _A_, and consequently shall judge the man erect. For, in

truth, the man in _B_ is not inverted, for there the feet are next the

earth; but it is the representation of it in _A_ which is inverted, for

there the head of the representation of the picture of the man in _B_ is

next the earth, and the feet farthest from the earth—meaning the earth

which is without the representation of the pictures in _B_. For, if you

take the little linages of the pictures in _B_, and consider them by

themselves, and with respect only to one another, they are all erect and

in their natural posture.

117. Farther, there lies a mistake in our imagining that the pictures of

external(403) objects are painted on the bottom of the eye. It has been

shewn there is no resemblance between the ideas of sight and things

tangible. It hath likewise been demonstrated(404), that the proper objects

of sight do not exist without the mind. Whence it clearly follows that the

pictures painted on the bottom of the eye are not the pictures of external

objects. Let any one consult his own thoughts, and then tell me, what

affinity, what likeness, there is between that certain variety and

disposition of colours which constitute the visible man, or picture of a

man, and that other combination of far different ideas, sensible by touch,

which compose the tangible man. But, if this be the case, how come they to

be accounted pictures or images, since that supposes them to copy or

represent some originals or other?

118. To which I answer—In the forementioned instance, the eye _A_ takes

the little images, included within the representation of the other eye

_B_, to be pictures or copies, whereof the archetypes are not things

existing without(405), but the larger pictures(406) projected on its own

fund; and which by _A_ are not thought pictures, but the originals or true

things themselves. Though if we suppose a third eye _C_, from a due

distance, to behold the fund of _A_, then indeed the things projected

thereon shall, to _C_, seem pictures or images, in the same sense that

those projected on _B_ do to _A_.

119. Rightly to conceive the business in hand, we must carefully

distinguish between the ideas of sight and touch, between the visible and

tangible eye; for certainly on the tangible eye nothing either is or seems

to be painted. Again, the visible eye, as well as all other visible

objects, hath been shewn to exist only in the mind(407); which, perceiving

its own ideas, and comparing them together, does call some pictures in

respect to others. What hath been said, being rightly comprehended and

laid together, does, I think, afford a full and genuine explication of the

erect appearance of objects—which phenomenon, I must confess, I do not see

how it can be explained by any theories of vision hitherto made public.

120. In treating of these things, the use of language is apt to occasion

some obscurity and confusion, and create in us wrong ideas. For, language

being accommodated to the common notions and prejudices of men, it is

scarce possible to deliver the naked and precise truth, without great

circumlocution, impropriety, and (to an unwary reader) seeming

contradictions. I do, therefore, once for all, desire whoever shall think

it worth his while to understand what I have written concerning vision,

that he would not stick in this or that phrase or manner of expression,

but candidly collect my meaning from the whole sum and tenor of my

discourse, and, laying aside the words(408) as much as possible, consider

the bare notions themselves, and then judge whether they are agreeable to

truth and his own experience or no.

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121. We have shewn the way wherein the mind, by mediation of visible

ideas(409), doth perceive or apprehend the distance, magnitude, and

situation of tangible objects(410). I come now to inquire more

particularly concerning the difference between the ideas of sight and

touch which are called by the same names, and see whether there be any

idea common to both senses(411). From what we have at large set forth and

demonstrated in the foregoing parts of this treatise, it is plain there is

no one self-same numerical extension, perceived both by sight and touch;

but that the particular figures and extensions perceived by sight, however

they may be called by the same names, and reputed the same things with

those perceived by touch, are nevertheless different, and have an

existence very distinct and separate from them. So that the question is

not now concerning the same numerical ideas, but whether there be any one

and the same sort or species of ideas equally perceivable to both senses?

or, in other words, whether extension, figure, and motion perceived by

sight, are not specifically distinct from extension, figure, and motion

perceived by touch?

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122. But, before I come more particularly to discuss this matter, I find

it proper to take into my thoughts extension in abstract(412). For of this

there is much talk; and I am apt to think that when men speak of extension

as being an idea common to two senses, it is with a secret supposition

that we can single out extension from all other tangible and visible

qualities, and form thereof an abstract idea, which idea they will have

common both to sight and touch. We are therefore to understand by

extension in abstract, an idea(413) of extension—for instance, a line or

surface entirely stripped of all other sensible qualities and

circumstances that might determine it to any particular existence; it is

neither black, nor white, nor red, nor hath it any colour at all, or any

tangible quality whatsoever, and consequently it is of no finite

determinate magnitude(414); for that which bounds or distinguishes one

extension from another is some quality or circumstance wherein they

disagree.

123. Now, I do not find that I can perceive, imagine, or anywise frame in

my mind such an abstract idea as is here spoken of. A line or surface

which is neither black, nor white, nor blue, nor yellow, &c.; nor long,

nor short, nor rough, nor smooth, nor square, nor round, &c. is perfectly

incomprehensible. This I am sure of as to myself; how far the faculties of

other men may reach they best can tell.

124. It is commonly said that the object of geometry is abstract

extension. But geometry contemplates figures: now, figure is the

termination of magnitude(415); but we have shewn that extension in

abstract hath no finite determinate magnitude; whence it clearly follows

that it can have no figure, and consequently is not the object of

geometry. It is indeed a tenet, as well of the modern as the ancient

philosophers, that all general truths are concerning universal abstract

ideas; without which, we are told, there could be no science, no

demonstration of any general proposition in geometry. But it were no hard

matter, did I think it necessary to my present purpose, to shew that

propositions and demonstrations in geometry might be universal, though

they who make them never think of abstract general ideas of triangles or

circles.

125. After reiterated efforts and pangs of thought(416) to apprehend the

general idea of a triangle(417), I have found it altogether

incomprehensible. And surely, if any one were able to let that idea into

my mind, it must be the author(418) of the _Essay concerning Human

Understanding_: he, who has so far distinguished himself from the

generality of writers, by the clearness and significancy of what he says.

Let us therefore see how this celebrated author(419) describes the general

or [which is the same thing, the(420)] abstract idea of a triangle. “It

must be,” says he, “neither oblique nor rectangle, neither equilateral,

equicrural, nor scalenum; but all and none of these at once. In effect it

is somewhat imperfect that cannot exist; an idea, wherein some parts of

several different and inconsistent ideas are put together.” (_Essay on

Human Understanding_, B. iv. ch. 7. s. 9.) This is the idea which he

thinks needful for the enlargement of knowledge, which is the subject of

mathematical demonstration, and without which we could never come to know

any general proposition concerning triangles. [Sure I am, if this be the

case, it is impossible for me to attain to know even the first elements of

geometry: since I have not the faculty to frame in my mind such an idea as

is here described(421).] That author acknowledges it doth “require some

pains and skill to form this general idea of a triangle.” (_Ibid._) But,

had he called to mind what he says in another place, to wit, “that ideas

of mixed modes wherein any inconsistent ideas are put together, cannot so

much as exist in the mind, i.e. be conceived,” (vid. B. iii. ch. 10. s.

33, _ibid._)—I say, had this occurred to his thoughts, it is not

improbable he would have owned it above all the pains and skill he was

master of, to form the above-mentioned idea of a triangle, which is made

up of manifest staring contradictions. That a man [of such a clear

understanding(422)], who thought so much and so well, and laid so great a

stress on clear and determinate ideas, should nevertheless talk at this

rate, seems very surprising. But the wonder will lessen, if it be

considered that the source whence this opinion [of abstract figures and

extension (423)] flows is the prolific womb which has brought forth

innumerable errors and difficulties, in all parts of philosophy, and in

all the sciences. But this matter, taken in its full extent, were a

subject too vast and comprehensive to be insisted on in this place(424).

[I shall only observe that your metaphysicians and men of speculation seem

to have faculties distinct from those of ordinary men, when they talk of

general or abstracted triangles and circles, &c., and so peremptorily

declare them to be the subject of all the eternal, immutable, universal

truths in geometry(425).] And so much for extension in abstract.

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126. Some, perhaps, may think pure space, vacuum, or trine dimension, to

be equally the object of sight and touch(426). But, though we have a very

great propension to think the ideas of outness and space to be the

immediate object of sight, yet, if I mistake not, in the foregoing parts

of this _Essay_, that hath been clearly demonstrated to be a mere

delusion, arising from the quick and sudden suggestion of fancy, which so

closely connects the idea of distance with those of sight, that we are apt

to think it is itself a proper and immediate object of that sense, till

reason corrects the mistake(427).

127. It having been shewn that there are no abstract ideas of figure, and

that it is impossible for us, by any precision of thought, to frame an

idea of extension separate from all other visible and tangible qualities,

which shall be common both to sight and touch—the question now remaining

is(428), whether the particular extensions, figures, and motions perceived

by sight, be of the same kind with the particular extensions, figures, and

motions perceived by touch? In answer to which I shall venture to lay down

the following proposition:—_The extension, figures, and motions perceived

by sight are specifically distinct from the ideas of touch, called by the

same names; nor is there any such thing as one idea, or kind of idea,

common_(429)_ to both senses._ This proposition may, without much

difficulty, be collected from what hath been said in several places of

this Essay. But, because it seems so remote from, and contrary to the

received notions and settled opinion of mankind, I shall attempt to

demonstrate it more particularly and at large by the following arguments:—

128. [_First_(430),] When, upon perception of an idea, I range it under

this or that sort, it is because it is perceived after the same manner, or

because it has a likeness or conformity with, or affects me in the same

way as the ideas of the sort I rank it under. In short, it must not be

entirely new, but have something in it old and already perceived by me. It

must, I say, have so much, at least, in common with the ideas I have

before known and named, as to make me give it the same name with them.

But, it has been, if I mistake not, clearly made out(431) that a man born

blind would not, at first reception of his sight, think the things he saw

were of the same nature with the objects of touch, or had anything in

common with them; but that they were a new set of ideas, perceived in a

new manner, and entirely different from all he had ever perceived before.

So that he would not call them by the same name, nor repute them to be of

the same sort, with anything he had hitherto known. [And surely the

judgment of such an unprejudiced person is more to be relied on in this

case than the sentiments of the generality of men; who, in this as in

almost everything else, suffer themselves to be guided by custom, and the

erroneous suggestions of prejudice, rather than reason and sedate

reflection(432).]

129. _Secondly_, Light and colours are allowed by all to constitute a sort

or species entirely different from the ideas of touch; nor will any man, I

presume, say they can make themselves perceived by that sense. But there

is no other immediate object of sight besides light and colours(433). It

is therefore a direct consequence, that there is no idea common to both

senses.

130. It is a prevailing opinion, even amongst those who have thought and

writ most accurately concerning our ideas, and the ways whereby they enter

into the understanding, that something more is perceived by sight than

barely light and colours with their variations. [The excellent(434)] Mr.

Locke termeth sight “the most comprehensive of all our senses, conveying

to our minds the ideas of light and colours, which are peculiar only to

that sense; and also the far different ideas of space, figure, and

motion.” (_Essay on Human Understanding_, B. iii. ch. 9. s. 9.) Space or

distance(435), we have shewn, is no otherwise the object of sight than of

hearing. (Vid. sect. 46.) And, as for figure and extension, I leave it to

any one that shall calmly attend to his own clear and distinct ideas to

decide whether he has any idea intromitted immediately and properly by

sight save only light and colours: or, whether it be possible for him to

frame in his mind a distinct abstract idea of visible extension, or

figure, exclusive of all colour; and, on the other hand, whether he can

conceive colour without visible extension? For my own part, I must

confess, I am not able to attain so great a nicety of abstraction. I know

very well that, in a strict sense, I see nothing but light and colours,

with their several shades and variations. He who beside these doth also

perceive by sight ideas far different and distinct from them, hath that

faculty in a degree more perfect and comprehensive than I can pretend to.

It must be owned, indeed, that, by the mediation of light and colours,

other far different ideas are suggested to my mind. But so they are by

hearing(436). But then, upon this score, I see no reason why the sight

should be thought more comprehensive than the hearing, which, beside

sounds which are peculiar to that sense, doth, by their mediation, suggest

not only space, figure, and motion, but also all other ideas whatsoever

that can be signified by words.

131. _Thirdly_, It is, I think, an axiom universally received, that

“quantities of the same kind may be added together and make one entire

sum.” Mathematicians add lines together; but they do not add a line to a

solid, or conceive it as making one sum with a surface. These three kinds

of quantity being thought incapable of any such mutual addition, and

consequently of being compared together in the several ways of proportion,

are by them for that reason esteemed entirely disparate and heterogeneous.

Now let any one try in his thoughts to add a visible line or surface to a

tangible line or surface, so as to conceive them making one continued sum

or whole. He that can do this may think them homogeneous; but he that

cannot must, by the foregoing axiom, think them heterogeneous. [I

acknowledge myself to be of the latter sort(437).] A blue and a red line I

can conceive added together into one sum and making one continued line;

but, to make, in my thoughts, one continued line of a visible and tangible

line added together, is, I find, a task far more difficult, and even

insurmountable—and I leave it to the reflection and experience of every

particular person to determine for himself.

132. A farther confirmation of our tenet may be drawn from the solution of

Mr. Molyneux’s problem, published by Mr. Locke in his _Essay_(438): which

I shall set down as it there lies, together with Mr. Locke’s opinion of

it:—“Suppose a man born blind, and now adult, and taught by his touch to

distinguish between a cube and a sphere of the same metal, and nighly of

the same bigness, so as to tell when he felt one and the other, which is

the cube, and which the sphere. Suppose then the cube and sphere placed on

a table, and the blind man made to see: Quære, Whether by his sight,

before he touched them, he could now distinguish, and tell, which is the

globe, which the cube. To which the acute and judicious proposer answers:

Not. For, though he has obtained the experience of how a globe, how a cube

affects his touch; yet he has not yet attained the experience, that what

affects his touch so or so must affect his sight so or so: or that a

protuberant angle in the cube, that pressed his hand unequally, shall

appear to his eye as it doth in the cube. I agree with this thinking

gentleman, whom I am proud to call my friend, in his answer to this his

problem; and am of opinion that the blind man, at first sight, would not

be able with certainty to say, which was the globe, which the cube, whilst

he only saw them.” (_Essay on Human Understanding_, B. ii. ch. 9. s. 8.)

133. Now, if a square surface perceived by touch be of the same sort with

a square surface perceived by sight, it is certain the blind man here

mentioned might know a square surface as soon as he saw it. It is no more

but introducing into his mind, by a new inlet, an idea he has been already

well acquainted with. Since therefore he is supposed to have known by his

touch that a cube is a body terminated by square surfaces; and that a

sphere is not terminated by square surfaces—upon the supposition that a

visible and tangible square differ only _in numero_, it follows that he

might know, by the unerring mark of the square surfaces, which was the

cube, and which not, while he only saw them. We must therefore allow,

either that visible extension and figures are specifically distinct from

tangible extension and figures, or else, that the solution of this

problem, given by those two [very(439)] thoughtful and ingenious men, is

wrong.

134. Much more might be laid together in proof of the proposition I have

advanced. But, what has been said is, if I mistake not, sufficient to

convince any one that shall yield a reasonable attention. And, as for

those that will not be at the pains of a little thought, no multiplication

of words will ever suffice to make them understand the truth, or rightly

conceive my meaning(440).

135. I cannot let go the above-mentioned problem without some reflection

on it. It hath been made evident that a man blind from his birth would

not, at first sight, denominate anything he saw, by the names he had been

used to appropriate to ideas of touch. (Vid. sect. 106.) Cube, sphere,

table are words he has known applied to things perceivable by touch, but

to things perfectly intangible he never knew them applied. Those words, in

their wonted application, always marked out to his mind bodies or solid

things which were perceived by the resistance they gave. But there is no

solidity, no resistance or protrusion, perceived by sight. In short, the

ideas of sight are all new perceptions, to which there be no names annexed

in his mind; he cannot therefore understand what is said to him concerning

them. And, to ask of the two bodies he saw placed on the table, which was

the sphere, which the cube, were to him a question downright bantering and

unintelligible; nothing he sees being able to suggest to his thoughts the

idea of body, distance, or, in general, of anything he had already known.

136. It is a mistake to think the same(441) thing affects both sight and

touch. If the same angle or square which is the object of touch be also

the object of vision, what should hinder the blind man, at first sight,

from knowing it? For, though the manner wherein it affects the sight be

different from that wherein it affected his touch, yet, there being,

beside this manner or circumstance, which is new and unknown, the angle or

figure, which is old and known, he cannot choose but discern it.

137. Visible figure and extension having been demonstrated to be of a

nature entirely different and heterogeneous from tangible figure and

extension, it remains that we inquire concerning motion. Now, that visible

motion is not of the same sort with tangible motion seems to need no

farther proof; it being an evident corollary from what we have shewn

concerning the difference there is betwixt visible and tangible extension.

But, for a more full and express proof hereof, we need only observe that

one who had not yet experienced vision would not at first sight know

motion(442). Whence it clearly follows that motion perceivable by sight is

of a sort distinct from motion perceivable by touch. The antecedent I

prove thus—By touch he could not perceive any motion but what was up or

down, to the right or left, nearer or farther from him; besides these, and

their several varieties or complications, it is impossible he should have

any idea of motion. He would not therefore think anything to be motion, or

give the name motion to any idea, which he could not range under some or

other of those particular kinds thereof. But, from sect. 95, it is plain

that, by the mere act of vision, he could not know motion upwards or

downwards, to the right or left, or in any other possible direction. From

which I conclude, he would not know motion at all at first sight. As for

the idea of motion in abstract, I shall not waste paper about it, but

leave it to my reader to make the best he can of it. To me it is perfectly

unintelligible(443).

The Works of George Berkeley. Vol. 1 of 4: Philosophical Works, 1705-21 · 第 19 / 51 段