[1] ‘Principles of Human Knowledge,’ sec. 44. It will be observed

that in that passage Berkeley uses the term ‘distance’ not ‘space,’

and though with him the terms are strictly interchangeable, this

may have helped to disguise from him the full monstrosity of the

doctrine, ‘space is a succession of feelings,’ which, stated in that

form, must surely have scandalised him.

If so, it is not space at all; but Berkeley thinks it is only not

‘pure’ space. _Space_ and _pure_ space stand or fall together.

179. Of this result he himself shows no suspicion. He professes to

be able, without violence to his doctrine, to accept the sciences

as they stand, except so far as they rest upon the needless and

unmeaning assumptions (as he reckoned them) of _pure_ space and its

infinite divisibility. The truth seems to be that--at any rate in

the state of mind represented his earlier treatises--he was only

able to work on the lines which Locke had laid. It did not occur

to him to treat the primary qualities as relations constituted by

thought, because Locke had not done so. Locke having treated them as

external to the mind, Berkeley does so likewise, and for that reason

feels that they must be got rid of. The mode of riddance, again,

was virtually determined for him by Locke. Locke having admitted

that they copied themselves in feelings, the untenable element in

this supposition had only to be dropped and they became feelings

simply. It is thus only so far as space is supposed to exist after

a mode of which, according to Locke himself, sense could take no

copy--_i.e._ as exclusive not merely of all colour but of all body,

and as infinitely divisible--that Berkeley becomes aware of its

incompatibility with his doctrine. Pure space, or ‘vacuum,’ to him

means space that can not be touched--a tangible extension that is not

tangible--and is therefore a contradiction in terms. The notion that,

though not touched, it might be seen, he excludes, [1] apparently for

the same reason which prevents him from allowing _visible_ extension

to be space at all; the reason, namely, that there is no ‘outness’

or relation of externality between the parts of such extension.

The fact that there can be no such relation between the successive

feelings which alone, according to him, constitute ‘tangible

extension,’ he did not see to be equally fatal to the latter being

in any true sense space. In other words, he did not see that the

test of reduction to feeling, by which he disposed of the _vacuum_,

disposed of space altogether. If he had, he would have understood

that space and body were intelligible relations, which can be thought

of apart from the feelings which through them become the world that

we know, since it is they that are the conditions of these feelings

becoming a knowledge, not the feelings that are the condition of the

relations being known. Whether they can be thought of apart from

each other--whether the simple relation of externality between parts

of a whole can be thought of without the parts being considered

as solid--is of course a further question, and one which Berkeley

cannot be said properly to discuss at all, since the abstraction of

space from body to him meant its abstraction from feelings of touch.

The answer to it ceases to be difficult as soon as the question is

properly stated.

[1] ‘Principles of Human Knowledge,’ sec. 116.

Berkeley disposes of space for fear of limiting God.

180. As with vacuum, so with infinite divisibility. Once let it

be understood that extension is constituted by the relation of

externality between homogeneous parts, and it follows that there can

be no _least_ part of extension, none that does not itself consist

of parts; in other words, that it is infinitely divisible: just as

conversely it follows that there can be no _last_ part of it, not

having another outside it; in other words, that (to use Locke’s

phrase) it is infinitely addible. Doubtless, as Berkeley held, there

is a ‘minimum visibile’; but this means that there are conditions

under which any seen colour disappears, and disappearing, ceases to

be known under the relation of extension; but it is only through a

confusion of the relation with the colour that the disappearance of

the latter is thought to be a disappearance of so much extension. [1]

It was, in short, the same failure to recognise the true ideality of

space, as a relation constituted by thought, that on the one hand

made its ‘purity’ and infinity unmeaning to Berkeley, and on the

other made him think that, if pure (_sc_. irreducible to feelings)

and infinite, it must limit the Divine perfection, either as being

itself God or as ‘something beside God which is eternal, uncreated,

and infinite’ (‘Principles of Human Knowledge,’ sec. 117). Fear of

this result set him upon that method of resolving space, and with it

the world of nature, into sequent feelings, which, if it had been

really susceptible of logical expression, would at best have given

him nothing but a μέγα ζῶον [2] for God. If he had been in less of

a hurry with his philosophy, he might have found that the current

tendency to ‘bind God in nature or diffuse in space’ required to be

met by a sounder than his boyish idealism--by an idealism which gives

space its due, but reflects that to make space God, or a limitation

on God, is to subject thought itself to the most superficial of the

relations by which it forms the world that it knows.

[1] The same remark of course applies, _mutatis mutandis_, to the

‘minimum tangibile.’ See below, paragraphs 265 and 260.

[2] [Greek μέγα ζῶον (mega zoon) = great being. Tr.]

How he deals with possibility of general knowledge.

181. So far we have only considered Berkeley’s reduction of primary

qualities, supposed to be sensible, to sensations as it affects the

qualities themselves, rather than as it affects the possibility

of universal judgments about them. If, indeed, as we have found,

such reduction really amounts to the absolute obliteration of the

qualities, no further question can remain as to the possibility of

general knowledge concerning them. As Berkeley, however, did not

admit the obliteration, the further question did remain for him:

and the condition of his plausibly answering it was that he should

recognise in the ‘idea,’ as subject of predication, that intelligible

qualification by relation which he did not recognise in it simply as

‘idea,’ and which essentially differences it from feeling proper. If

any particular ‘tangible extension,’ _e.g._ a right-angled triangle,

is only a feeling, or in Berkeley’s own language, ‘a fleeting

perishable passion’ [1] not existing at all, even as an ‘abstract

idea,’ except when some one’s tactual organs are being affected in

a certain way--what are we to make of such a general truth as that

the square on its base is always equal to the squares on its sides?

Omitting all difficulties about the convertibility of a figure with

a feeling, we find two questions still remain--How such separation

can be made of the figure from the other conditions of the tactual

experience as that propositions should be possible which concern the

figure simply; and how a single case of tactual experience--that

in which the mathematician finds a feeling called a right-angled

triangle followed by another which he calls equality between the

squares, &c.--leads in the absence of any ‘necessary connexion’

to the expectation that the sequence will always be the same. [2]

The difficulty becomes the more striking when it is remembered

that though the geometrical proposition in question, according to

Berkeley, concerns the tangible, the experience which suggests it is

merely visual.

[1] ‘Principles of Human Knowledge,’ sec. 89.

[2] See above, paragraph 122.

His theory of universals ...

182. Berkeley’s answer to these questions must be gathered from his

theory of general names. ‘It is, I know,’ he says, ‘a point much

insisted on, that all knowledge and demonstration are about universal

notions, to which I fully agree: but then it does not appear to me

that those notions are formed by abstraction--_universality_, so

far as I can comprehend, not consisting in the absolute positive

nature or conception of anything, but in the relation it bears to

the particulars signified or represented by it; by virtue whereof

it is that things, names, or notions, being in their own nature

_particular_, are rendered universal. Thus, when I demonstrate any

proposition concerning triangles, it is to be supposed that I have in

view the universal idea of a triangle; which is not to be understood

as if I could frame an idea of a triangle which was neither

equilateral nor scalene nor equicrural; but only that the particular

triangle I considered, whether of this or that sort it matters not,

doth equally stand for and represent all rectilinear triangles

whatsoever, and is in that sense universal.’ Thus it is that ‘a man

may consider a figure merely as triangular.’ (‘Principles of Human

Knowledge,’ Introd. secs. 15 and 16.)

... of value, as implying that universality of ideas lies in relation.

183. In this passage appear the beginnings of a process of thought

which, if it had been systematically pursued by Berkeley, might have

brought him to understand by the ‘percipi,’ to which he pronounced

‘esse’ equivalent, definitely the ‘intelligi.’ As it stands, the

result of the passage merely is that the triangle (for instance)

‘in its own nature,’ because ‘particular,’ is not a possible

subject of general predication or reasoning: that it is so only as

‘considered’ under a relation of resemblance to other triangles and

by such consideration universalized. ‘In its own nature,’ or as a

‘particular idea,’ the triangle, we must suppose, is so much tangible

(or visible, as symbolical of tangible) extension, and therefore

according to Berkeley a feeling. But a relation, as he virtually

admits, [1] is neither a feeling nor felt. The triangle, then, as

considered under relation and thus a possible subject of general

propositions, is quite other than the triangle in its own nature.

This, of course, is so far merely a virtual repetition of Locke’s

embarrassing doctrine that real things are not the things which we

speak of, and which are the subject of our sciences; but it is a

repetition with two fruitful differences--one, that the thing in

its ‘absolute positive nature’ is more explicitly identified with

feeling; the other, that the process, by which the thing thought and

spoken of is supposed to be derived from the real thing, is no longer

one of ‘abstraction,’ but consists in consideration of relation.

It is true that with Berkeley the mere feeling has a ‘positive

nature’ apart from considered relations, [2] and that the considered

relation, by which the feeling is universalised, is only that of

resemblance between properties supposed to exist independently of it.

The ‘particular triangle,’ reducible to feelings of touch, has its

triangularity (we must suppose) simply as a feeling. It is only the

resemblance between the triangularity in this and other figures--not

the triangularity itself--that is a relation, and, as a relation, not

felt but considered; or in Berkeley’s language, something of which we

have not properly an ‘idea’ but a ‘notion.’ [3]

[1] See ‘Principles of Human Knowledge,’ sec. 89. (2nd edit.)

[2] See below, paragraph 298.

[3] ‘Principles of Human Knowledge,’ Ibid. This perhaps is the

best place for saying that it is not from any want of respect for

Dr. Stirling that I habitually use ‘notion’ in the loose popular

way which he counts ‘barbarous,’ but because the barbarism is so

prevalent that it seems best to submit to it, and to use ‘conception’

as the equivalent of the German ‘Begriff.’

But he fancies that each idea has a positive nature apart from

relation.

184. But though Berkeley only renders explicit the difficulties

implicit in Locke’s doctrine of ideas, that is itself a great step

taken towards disposing of them. Once let the equivocation between

sensible qualities and sensations be got rid of--once let it be

admitted that the triangle in its absolute nature, as opposed to

the triangle considered, is merely a feeling, and that relations

are not feelings or felt--and the question must soon arise, What

in the absence of all relation remains to be the absolute nature

of the triangle? It is a question which ultimately admits of but

one answer. The triangularity of the given single figure must

be allowed to be just as much a relation as the resemblance,

consisting in triangularity, between it and other figures; and if a

relation, then not properly felt, but understood. The ‘particular’

triangle, if by that is meant the triangle as subject of a singular

proposition, is no more ‘particular in time,’ no more constituted

by the occurrence of a feeling, than is the triangle as subject of

a general proposition. It really exists as constituted by relation,

and therefore only as ‘considered’ or understood. In its existence,

as in the consideration of it, the relations indicated by the terms

‘equilateral, equicrural and scalene,’ presuppose the relation of

triangularity, not it them; and for that reason it can be considered

apart from them, though not they apart from it, without any breach

between that which is considered and that which really exists. Thus,

too, it becomes explicable that a single experiment should warrant

a universal affirmation; that the mathematician, having once found

as the result of a certain comparison of magnitudes that the square

on the hypothenuse is equal to the square on the sides, without

waiting for repeated experience at once substitutes for the singular

proposition, which states his discovery, a general one. If the

singular proposition stated a sensible event or the occurrence of a

feeling, such substitution would be inexplicable: for if that were

the true account of the singular proposition, a general one could but

express such expectation of the recurrence of the event as repeated

experience of it can alone give. But a relation is not contingent

with the contingency of feeling. It is permanent with the permanence

of the combining and comparing thought which alone constitutes it;

and for that reason, whether it be recognised as the result of a

mathematical construction or of a crucial experiment in physics, the

proposition which states it must already be virtually universal.

Traces of progress in his idealism.

185. Of such a doctrine Berkeley is rather the unconscious forerunner

than the intelligent prophet. It is precisely upon the question

whether, or how far, he recognised the constitution of things by

intelligible relations, that the interpretation of his early (which

is his only developed) idealism rests. Is it such idealism as Hume’s,

or such idealism as that adumbrated in some passages of his own

‘Siris’? Is the idea, which is real, according to him a feeling or

a conception? Has it a nature of its own, consisting simply in its

being felt, and which we afterwards for purposes of our own consider

in various relations; or does the nature consist only in relations,

which again imply the action of a mind that is eternal--present

to that which is in succession, but not in succession itself? The

truth seems to be that this question in its full significance never

presented itself to Berkeley, at least during the period represented

by his philosophical treatises. His early idealism, as we learn

from the commonplace-book brought to light by Professor Fraser, was

merely a cruder form of Hume’s. By the time of the publication of

the ‘Principles of Human Knowledge’ he had learnt that, unless this

doctrine was to efface ‘spirit’ as well as ‘matter,’ he must modify

it by the admission of a ‘thing’ that was not an ‘idea,’ and of which

the ‘esse’ was ‘percipere’ not ‘percipi.’ This admission carried with

it the distinction between the object felt and the object known,

between ‘idea’ and ‘notion’--a distinction which was more clearly

marked in the ‘Dialogues.’ Of ‘spirit’ we could have a ‘notion,’

though not an ‘idea.’ But it was only in the second edition of the

‘Principles’ that ‘relation’ was put along with ‘spirit,’ as that

which could be known but which was no ‘idea:’ and then without any

recognition of the fact that the whole reduction of primary qualities

to mere ideas was thereby invalidated. The objects, with which the

mathematician deals, are throughout treated as in their own nature

‘particular ideas,’ into the constitution of which relation does not

enter at all; in other words, as successive feelings.

His way of dealing with physical truths.

186. If the truths of mathematics seemed to Berkeley explicable on

this supposition, those of the physical sciences were not likely to

seem less so. As long as the relations with which these sciences deal

are relations between ‘sensible objects,’ he does not notice that

they _are_ relations, and therefore not feelings or felt, at all.

He treats felt things as if the same as feelings, and ignores the

relations altogether. Thus a so-called ‘sensible’ motion causes him

no difficulty. He would be content to say that it was a succession

of ideas, not perceiving that motion implies a relation between

spaces or moments as successively occupied by something that remains

one with itself--a relation which a mere sequence of feelings could

neither constitute nor of itself suggest. It is only about a motion

which does not profess to be ‘seen,’ such as the motion of the earth,

that any question is raised--a question easily disposed of by the

consideration that in a different position we should see it. ‘The

question whether the earth moves or not amounts in reality to no more

than this, to wit, whether we have reason to conclude from what hath

been observed by astronomers, that if we were placed in such and such

circumstances, and such or such a position and distance both from the

earth and sun, we should perceive the former to move among the choir

of the planets, and appearing in all respects like one of them: and

this by the established rules of nature, which we have no reason to

mistrust, is reasonably collected from the phenomena’ (‘Principles of

Human Knowledge,’ sec. 58). [1]

[1] Cf. ‘Dialogues,’ page 147, in Prof. Fraser’s edition.

If they imply permanent relations, his theory properly excludes them.

He supposes a divine decree that one feeling shall follow another.

187. Now this passage clearly does not mean--as it ought to mean

if the ‘_esse_’ of the motion were the ‘_percipi_’ by us--that the

motion of the earth would begin as soon as we were there to see it.

It means that it is now going on as an ‘established law of nature,’

which may be ‘collected from the phenomena.’ In other words, it

means that our successive feelings are so related to each other as

determined by one present and permanent system, on which not they

only but all possible feelings depend, that by a certain set of

them we are led--not to expect a recurrence of them in like order

according to the laws of association, but, what is the exact reverse

of this--to infer that certain other feelings, of which we have no

experience, would now occur to us if certain conditions of situation

on our part were fulfilled, because the ‘ordo ad universum,’ of

which these feelings would be the ‘ordo ad nos,’ does now obtain.

But though Berkeley’s words mean this for us, they did not mean it

for him. That such relation--merely intelligible, or according to

his phraseology not an idea or object of an idea at all, as he must

have admitted it to be--gives to our successive feelings the only

‘nature’ that they possess, he never recognised. By the relation of

idea to idea, as he repeatedly tells us, he meant not a ‘necessary

connexion,’ _i.e._ not a relation without which, neither idea would

be what it is, but such _de facto_ sequence of one upon the other

as renders the occurrence of one the unfailing but arbitrary sign

that the other is coming. It is thus according to him (and here Hume

merely followed suit) that feelings are symbolical--symbolical not

of an order other than the feelings and which accounts for them, but

simply of feelings to follow. To Berkeley, indeed, unlike Hume, the

sequence of feelings symbolical of each other is also symbolical of

something farther, viz. the mind of God: but when we examine what

this ‘mind’ means, we find that it is not an intelligible order by

which our feelings may be interpreted, or the spiritual subject of

such an order, but simply the arbitrary will of a creator that this

feeling shall follow that.

Locke had explained reality by relation of ideas to outward body.

Liveliness in the idea evidence of this relation.

188. Such a doctrine could not help being at once confused in its

account of reality, and insecure in its doctrine alike of the human

spirit and of God. On the recognition of relations as constituting

the _nature_ of ideas rests the possibility of any tenable theory of

their reality. An isolated idea could be neither real nor unreal.

Apart from a definite order of relation we may suppose (if we like)

that it would _be_, but it would certainly not be real; and as

little could it be unreal, since unreality can only result from the

confusion in our consciousness of one order of relation with another.

It is diversity of relations that distinguishes, for instance, these

letters as they now appear on paper from the same as I imagine them

with my eyes shut, giving each sort its own reality: just as upon

confusion with the other each alike becomes unreal. Thus, though

with Locke simple ideas are necessarily real, we soon find that even

according to him they are not truly so in their simplicity, but only

as related to an external thing producing them. He is right enough,

however inconsistent with himself, in making relation constitute

reality; wrong in limiting this prerogative to the one relation of

externality. When he afterwards, in virtual contradiction to this

limitation, finds the reality of moral and mathematical ideas just

in that sole relation to the mind, as its products, which he had

previously made the source of all unreality, he forces upon us the

explanation which he does not himself give, that unreality does not

lie in either relation as opposed to the other, but in the confusion

of any relation with another. It is for lack of this explanation

that Locke himself, as we have seen, finds in the liveliness

and involuntariness of ideas the sole and sufficient tests (not

_constituents_) of their reality; though they are obviously tests

which put the dreams of a man in a fever upon the same footing with

the ‘impressions’ of a man awake, and would often prove that unreal

after dinner which had been proved real before. There is a well-known

story of a man who in a certain state of health commonly saw a

particular gory apparition, but who, knowing its origin, used to have

himself bled till it disappeared. The reality of the apparition lay,

he knew, in some relation between the circulation of his blood and

his organs of sight, in distinction from the reality existing in the

normal relations of his visual organs to the light: and in his idea,

accordingly, there was nothing unreal, because he did not confuse the

one relation with the other. Locke’s doctrine, however, would allow

of no distinction between the apparition as it was for such a man

and as it would be for one who interpreted it as an actual ‘ghost.’

However interpreted, the liveliness and the involuntariness of the

idea remain the same, as does its relation to an efficient cause. If

in order to its reality the cause must be an ‘outward body,’ then it

is no more real when rightly, than when wrongly, interpreted; while

on the ground of liveliness and involuntariness it is as real when

taken for a ghost as when referred to an excess of blood in the head.

Berkeley retains this notion, only substituting ‘God’ for ‘body’.

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