Reformed Logic A System Based on Berkeley's Philosophy with an Entirely New Method of Dialectic

Part 4

Chapter 43,839 wordsPublic domain

'And as the mind frames to itself abstract ideas of qualities or modes, so does it, by the same precision or mental separation, attain abstract ideas [general ideas] of the more compounded beings which include several co-existent qualities. For example, the mind having observed that Peter, James, and John resemble each other in certain common agreements of shape and other qualities, leaves out of the complex or compounded idea it has of Peter, James, and any other particular man, that which is peculiar to each, retaining only what is common to all, and so makes an abstract [general] idea wherein all the particulars equally partake--abstracting entirely from and cutting off those circumstances and differences which might determine it to any particular existence. And after this manner it is said we come by the abstract [general] idea of man, or, if you please, humanity or human nature; wherein it is true there is included colour, because there is no man but has some colour, but then it can be neither white, nor black, nor any particular colour, because there is no one particular colour wherein all men partake. So likewise there is included stature, but then it is neither tall stature, nor low stature, nor yet middle stature, but something abstracted from all these. And so of the rest. Moreover, there being a great variety of other creatures that partake of some parts, but not all, of the complex idea of man, the mind, leaving out those parts which are peculiar to men, and retaining those only which are common to all the living creatures, frames the idea of _animal_, which abstracts not only from all particular men, but also all birds, beasts, fishes and insects. The constituent parts of the abstract idea of animal are body, life, sense, and spontaneous motion. By _body_ is meant body without any particular shape or figure, there being no one shape or figure common to all animals, without covering either of hair, or feathers, or scales, &c., nor yet naked: hair, feathers, scales, and nakedness being the distinguishing properties of particular animals, and for that reason left out of the _abstract_ [general] _idea_. Upon the same account the spontaneous motion must be neither walking, nor flying, nor creeping; it is nevertheless a motion, but what that motion is it is not easy to conceive.'

This is a fair paraphrase of the accounts given by metaphysicians of the manner of forming general ideas. It is also in itself a perfectly correct account of the process, considered simply as a manifestation of consciousness or a succession of states of consciousness, that is, apart from the substantial plasmic operation of which it is merely the symptom. Berkeley however denies that it is a true statement of what takes place in the mind of consciousness.

'Whether others have this wonderful faculty of abstracting their ideas, they best can tell; for myself, I find indeed I have a faculty of imagining or representing to myself, the ideas of those particular things I have perceived, and of variously compounding and dividing them. I can imagine a man with two heads, or the upper parts of a man joined to the body of a horse. I can consider the hand, the eye, the nose each by itself abstracted or separated from the rest of the body. But then, whatever hand or eye I imagine, it must have some particular shape or colour. Likewise the idea of man that I frame to myself must be either of a white, or a black, or a tawny, a straight, or a crooked, a tall, or a low, or a middle-sized man. I cannot by any effort of thought conceive the abstract idea above described. And it is equally impossible for me to form the abstract idea of motion distinct from the body moving, and which is neither swift nor slow, curvilinear nor rectilinear; and the like may be said of all other abstract general ideas whatsoever. To be plain, I own myself able to abstract in one sense, as when I consider some particular parts or qualities separated from others, and which, though they are united in some object, yet it is possible they may really exist without them. But I deny that I can abstract from one another, or conceive separately, those qualities which it is impossible should exist so separated; or that I can form a general notion, by abstracting from particulars in the manner aforesaid--which last are the two proper acceptations of _abstraction_. And there is ground to think most men will acknowledge themselves to be in my case. The generality of men which are simple and illiterate never pretend to _abstract notions_ [general ideas]. It is said they are difficult and not to be attained without pains and study; we may therefore reasonably conclude that, if such there be, they are confined only to the learned.'

It is quite true that 'the simple and illiterate never _pretend_ to abstract notions,' for the sufficient reason that they do not know the names of their mental operations, even if they are capable of discriminating them. For the same reason they do not pretend to talk prose or to be realists.

The practice of every profession and craft, even the humblest, involves abstraction and generalisation. The objective properties associated with a given utility have to be abstracted from those which are indifferent, and this is what enables men of experience in any branch of industry or art to form a speedy judgment on matters touching their special affairs. It is in part what distinguishes the 'professional' from the 'amateur.'

Berkeley's disclaimer of any power in himself to form general ideas is no doubt sincere, and he is justified in reasoning from himself to others. But the point at issue is, whether Berkeley in this instance correctly analysed his own mental processes. The fact that he was correct in some points of great importance does not preclude us from surmising that he may have been wrong in others of less importance. In comparison with his discovery of the substantiality of mind, his oversight on the subject of abstraction is a bagatelle.

He explains the existence of general words on the theory that they are names of particular ideas which we use to represent all similar ideas.

'... an idea which, considered in itself, is particular, becomes general by being made to represent or stand for all other particular ideas of the same sort. To make this plain by an example, suppose a geometrician is demonstrating the method of cutting a line in two equal parts. He draws, for instance, a black line of one inch in length: this, which in itself is a particular line, is nevertheless with regard to its signification general, since, as it is there used, it represents all particular lines whatsoever; so that what is demonstrated of it is demonstrated of all lines, or, in other words, of a line in general. And, as _that particular line_ becomes general by being made a sign, so the _name_ "line," which taken absolutely is particular, by being a sign is made general. And as the former owes its generality not to its being the sign of an abstract or general line, but of all particular right lines that may possibly exist, so the latter must be thought to derive its generality from the same cause, namely, the various particular lines which it indifferently denotes.'

These extracts will suffice to show what was Berkeley's doctrine on the subject of general ideas.

With respect to the analogy supposed to exist between the generality of a name and the generality of a general idea, it has to be observed that a name owes its generality solely to its being the sign of a general idea. It is an imputed or conventional generality,--in its proper character a general name is concrete and individual. Also it does not resemble the thing it signifies (the general idea), nor the concrete things from which that has been derived.

The generality of a general idea, on the other hand, depends altogether on its _resemblance_ to many particular things. It is independent of convention. Hence there is no real analogy between the two generalities.

Considering that Berkeley professes himself unable to imagine abstract properties, it is surprising how easily and naturally he writes about geometrical lines--which are abstract properties. Probably he means concrete _strokes_.

What sort of representation can subsist between one concrete stroke and every other concrete stroke? If it is straight it will not correctly represent a curve; if it is curved it will not represent a straight stroke. A stroke an inch long cannot stand for a stroke a hundred miles long; a black stroke does not properly represent a red stroke. So it is incorrect to say that 'what is demonstrated of _it_ is demonstrated of all strokes, or, in other words, of a stroke in general.' A particular object can stand only for itself, and if general words stand for many things it is not by direct representation, but because they first suggest general ideas, which are the true substitutes of many particular things.

A reference to geometrical objects, themselves so abstract, is a doubtful mode of showing how well one concrete thing can represent others. Had Berkeley taken a more complex object as his general representative he would have seen the weakness of his argument. Suppose a biologist has to discourse on a province of animal life comprising many species, and takes an individual of one species as a representative of the whole. His sample is perhaps a hare, but he has to treat of birds and fishes. What is to prevent his hearers from concluding that birds are furred animals and fishes quadrupeds? Are they to be expected to see in the hare only the properties common to all the animals reviewed? If so they have the power denied them by nominalists of forming a pure general idea, and the hare is superfluous. The common properties could have been defined and imagined without a concrete specimen, with irrelevant attributes, being brought into the discourse.

All nominalists insist that if we think long on a general idea it becomes particular, and from this they argue that it is not, and never has been, a general idea[11].

The experiments of this sort proposed by logicians are misleading, because we are without the ordinary motives for thinking generally. In practical thought we have some sufficient reason for attending to a fraction of consciousness and excluding the rest, and the irrelevant qualities are distinctly less charged with attention than the principal quality.

The power of abstracting thought is a matter of education. It is that ruling of the spirit which is more difficult than the capture of a city. We have to master the restless energic Self and fix it down on a particular plasmic figure, or a mere point or edge of one, preventing the energy from spreading to adjacent images. That is irksome and fatiguing, but it is only a high degree of the faculty everyone possesses of distinguishing particular objects from each other. Some minds are so flaccid that you cannot hold them to one subject, even the most particular and obvious, for five minutes at a time. Training enables us to bring into the focus of attention just what we wish to observe or think about, and leave the rest in the background, however closely it may be connected with the matter that immediately interests us. But for this power much of our energy would be expended to no purpose. Abstraction is simply attention of a minute and concentrated kind--a bringing of our energy of observation or recollection to a fine point.

When abstraction need not be prolonged--when we are free to pass rapidly from one general or abstract idea to another--there is no difficulty in partial thinking. We skim over the plasmic imprints, lightly brushing the surface of each where it is most prominent and therefore most general, but not pausing to recollect particulars. It is this rapid delicate touch we oftenest use in actual thought; but when for purposes of experiment we come down heavily on an imprint, then the Self overflows to adjacent channels and particular memories are stirred up, in spite of every effort to limit our attention.

So common and easy is rapid general thought that it is constantly used as a substitute for concrete thought, when a sketchy treatment of things is all that is wanted.

'A bird has alighted on the fence.' The speaker saw a particular concrete bird, and might have tried to describe it in the concrete. But the attributes that rendered it concrete are supposed not to be of present importance, and the hearer is consequently invited to think only of bird in general. Would a nominalist affirm that in such a case the words are meaningless unless the idea is concreted--unless the general sketch is filled out in detail?

Take another example. 'The man sat by the window overlooking the river that flowed towards the city.'

Here all the nouns are general, but the picture is individual and concrete. It is also quite intelligible, as a sketch. We can think of a man without assigning to him any particular type of face, or colour of hair, or stature, or age, or clothing. Our idea is the general idea _man_ used as a sketch of a particular man. He is in a house because he is looking through a window, but we do not stay to imagine the house as cottage, inn, or mansion. We call up the general idea _house_, which is definite enough for our purpose, and we cannot doubt for a moment that we have such a general idea. The river may be wide or narrow, straight or crooked, navigable or not, but we think only of the general idea _river_, which is water flowing between banks. And surely we can imagine a general _city_ without giving it any definite size, or form, or nationality, or number of inhabitants!

These considerations clearly demonstrate that we have general ideas, which are not merely concrete ideas used as examples, and if we can employ them in the manner just indicated, where a light superficial recollection is all that is necessary, we can equally well use them in their more legitimate character, as signs of certain general utilities.

XV--ERRORS WITH RESPECT TO GENERALISATION

Generalisation has been the bane of European philosophy. It has monopolised well-nigh the whole metaphysical attention. It has been considered the radical fact of mind from which all others have grown, whereas it is no more than a method for abbreviating recollection. It neither reveals to us new things, nor reduces the multiplicity of things actually existing.

Plato insisted on the importance of general thought as against the fluctional idealism of Heraclitus, but he was wholly mistaken as to the nature of general ideas. He thought they were external objects--also types and causes of primary objects. But patterns are not causes, and general ideas are quite obviously suggested by things, not things derived from general ideas. The notion that the general idea is either the cause, or an image and revelation of the cause, of things is an error of perennial recurrence. In some form or other it is always with us.

Plato also taught that general ideas are recollections of knowledge acquired in the condition prior to embodiment, which the objective experience of this life serves to revive. These several doctrines are somewhat inconsistent with each other. The last is interesting but lacks confirmation.

Aristotle admitted the superiority of general over particular ideas, and thought that the former corresponded to some specially important part of objects called the 'essence.'

This is nearer the truth. The essence of an object is that part of it, which being present, a given sentimental result follows, or may be expected to follow, or may be made to follow. A certain experience of things is necessary before we can know what is the objective minimum consistent with some sentimental utility. If things are classified with due regard to their utilities, the essence will be the same as the general idea. It is however not true that the essence or any other part of the object causes the sentimental effect (VII).

A common form of the generalistic superstition is to suppose that a thing is explained or sufficiently accounted for by classifying it.

In all philosophies of Greek derivation--the Asiatic seem to be free from this defect--reason is considered to be 'the bringing of a thing under a class-notion,' and when this is done we are supposed to know the thing completely. An elaborate and utterly false dialectic has been erected on this foundation.

No doubt our first attempt at explaining a thing is to refer it to a general idea--to classify it. This usually suggests something to add to the bare phenomenon by way of explanation or hypothesis. But only if we have a prior knowledge of the general idea, derived from things better known than the present phenomenon. The general idea is simply a short formula of that prior knowledge. Suppose we thoroughly know a body of similar things _a_, _b_, _c_, and also reduce them to the general image X; then on seeing _d_ and noticing that it is like _a_, _b_, _c_, we briefly think, 'Oh, it is X,' which excuses us from studying it further. We at once transfer to _d_ our whole knowledge of _a_, _b_, _c_, and in this ideal transfer the explanation consists--not in the classification. The transfer is often tacit--if explicit it is an 'argument.'

If there has been no better known _a_, _b_, _c_, it is evident that the mere generalisation of new facts _d_, _e_, _f_, will not add anything to our knowledge of _them_. In deduction we should only return to them the knowledge just extracted from them. We should be explaining things by themselves--reasoning in a circle[12].

The _unity_, which explains is not the general idea. It is a unity of function or service, and may include things utterly heterogeneous, and therefore incapable of being reduced to a common idea. The pen in my hand consists of wood and metal; if I generalise them into Matter--the nearest class that includes both--I do not thereby explain the pen. But it is explained by the unity of service: the wood and metal contribute to form one instrument for writing.

The best results of modern science are discoveries of utilities (inventions); discoveries of the relations of sequence among objects, which enable us to predict their arrival years in advance; of coexistences on the great cosmic scale (geographical and stellar exploration); of co-inherence of properties in individual objects (chemistry). Yet science is still too generalistic. It runs too much to classification and nomenclature, which is nothing but _memoria technica_. Modern biology presents a curious return of Platonism. The general idea is not indeed put forward as the cause of individuals, but a particular concrete animal is found who closely resembles the general idea, and it is imagined that an animal like him was the original cause of all animals of his species. When it happens--as it occasionally must in a thorough-going system of phenomenal classification--that the average or general idea falls between two species, no individual can be found to represent it with the desired exactness. In this case it is supposed by evolutionists that the intermediate animal has existed but is now extinct. These are the 'missing links' so badly wanted to complete the evolutionary scheme.

[Footnote 10: 'Mysticism is neither more nor less than ascribing objective existence to the subjective creations of our own faculties, to ideas or feelings of the mind.'--_Logic_, chapter on 'Fallacies.']

[Footnote 11: With equal plausibility it might be argued that we have no particular ideas, because it is difficult if not impossible to observe and remember all the details of any object. Our most particular ideas are slightly abstract, and in the process of forgetting they become more and more abstract, until they disappear altogether.]

[Footnote 12: Mill's nominalistic tendencies led him to the same conclusion: 'Our general ideas contain nothing but what has been put into them, either by our passive experience, or by our active habits of thought; and the metaphysicians in all ages, who have attempted to construct the laws of the universe by reasoning from our supposed necessities of thought, have always proceeded, and only could proceed, by laboriously finding in their own minds what they themselves had formerly put there, and evolving from their ideas of things what they had first involved in those ideas.'--_Logic_, Bk. V. c. 3. ยง 3.]

IMAGINATION

XVI

This faculty or habit consists essentially in combining ideas (particular or general), or objects and ideas, so as to form systems different from those occurring in actual experience. The whole has never been perceived, though all its elements have been perceived.

Any association of ideas may be called imaginary if it occurs in an order different from the order of experience. But the term Imagination is properly confined to novel combinations deliberately and consciously formed to serve some utility. It is thus distinguished from Reverie, in which no choice or control enters into the recollection.

We control our ideal associations by means of comparison, which is therefore what distinguishes imagination from reverie. For instance, if I see a vase from which the handle has been broken off, I can imagine the handle restored, but to do this I must be able to compare the broken vase with a similar whole vase, or with the general idea 'whole vase.' The combination I form is novel, for I have never seen this particular vase in a whole state; if I had I should not be imagining it but recollecting it.

There are two principal distinctions to be noticed in imagination; one relates to the mode of forming the imaginary idea, the other to its use.

In the above case we form the whole by mechanical extension or addition. The process is as simple as nailing one piece of wood to another. But suppose the broken vase is of porcelain and the whole one of bronze, the restoration can still be made, but it is no mechanical junction of two previous ideas. It is a fusion of the material supplied by one idea with a form supplied by another. On the same principle a vase may be wholly designed from hints supplied by a score or more of vases, differing in material, in size, colour, decoration, and so forth. In these cases the new idea may be said to be totally different throughout its length from any other and from any object. Yet it is a combination of previous ideas. We do not create any absolutely new idea. This may be called imagination by _transfusion_. The elements may be so well mixed that it is impossible to trace each back to its origin.

Transfusion may be further complicated by recompounding ideas already compound. This occurs, as we shall see, in forming the 'external world' of materialists and realists.

The two uses to which imaginary ideas are put are the Artistic and the Rational.