IV.
The classification of the sciences is, at the same time, a plan for the setting forth of the positive philosophy, and a complement of the law of the three States. But, while this law expresses the progress of the human intellect in the constitution of science and philosophy, the classification supposes that science and philosophy are already constituted. It expresses their order, and enunciates from the static point of view what the law formulates from the dynamic point of view. It shows the relations of the various elements of philosophy among themselves, and to the whole.
So long as this idea of the whole was not defined, that is to say, so long as positive science remained special, these relations could not be rationally established. But, once sociology was created, and with it positive philosophy, it became possible to embrace the whole of the fundamental sciences in a single conception. For, from that time, they can be represented as being various aspects of the development of the human intellect.
Truly, the object of science is single, and the divisions which are introduced into it for our convenience, without being arbitrary, are artificial. All the branches of our knowledge, that is to say all the fundamental sciences, must be considered as issuing from a single trunk. Not that these sciences can ever be reduced one to another. It suffices that they be homogeneous, and their homogeneity results from their subjection to the same method; further, from their tendency towards the same end, and finally, from their subordination to the same law of progress. In respect to the last and highest of these sciences, the others “must only be finally regarded as indispensable preliminaries in a progressive order.”[28]
Thus the ladder of the fundamental sciences represents, in Comte’s mind, the methodical ascent of the positive spirit towards universality and unity. It is a hierarchy, a scala intellectus, according to Bacon’s expression. It includes the whole of the “philosophia prima” also foreshadowed by Bacon and vainly sought after by philosophers.
The memory of Bacon does not prevent the preponderating influence in this conception of Comte from being that of Descartes. Comte is far from ignoring it. He calls himself the continuator and by a dreadful barbarism, the completer of Descartes.[29] Undoubtedly Descartes had not like him conceived the series of the fundamental sciences. After having applied a positive method to the study of inorganic nature, and even of living nature, for the rest he had reverted to a metaphysical method. But this “cartesian compromise” could only be provisional. None the less to Descartes belongs the merit of having definitely acquired several orders of phenomena for the positive spirit, and of affirming the unity of science at the same time as the unity of method. He was unable himself to realise this twofold unity, for its time had not come, and the necessary conditions had not yet been brought together. Moreover in the cartesian idea of science metaphysical elements subsist, and Descartes wrongly believed that the universal method was to be obtained by a transformation of the mathematical method.
Comte takes up the leading ideas of Descartes again, and, at the same time, he corrects them, according as the progress of the positive spirit during two centuries enabled him to do. The position of “leading science,” if this expression can be allowed, passes from mathematics to sociology. Moreover, the unity of science, as Comte conceives it, no longer prevents the fundamental sciences from being irreducible to one another. This unity is sufficiently secured by the homogeneity of the sciences, which form a continuous series, an “encyclopædic hierarchy,” and which are all subordinated to the final science. Lastly the unity of the positive methods does not imply its uniformity everywhere. Each fundamental science, as will be seen further on, has its methods which are special to itself.[30]
The classification of the sciences thus shows how positive philosophy stretches back over the XVIII. cent., whence it springs, to link itself with Bacon and Descartes. Comte has retained Bacon’s view on this point, that all scientific knowledge rests upon facts which have been fully observed, and that a system of positive sciences constitutes the indispensable basis for the only philosophy which is within our reach. To Descartes he here owes the idea of the unity of method and of the unity of science. We might almost say that he has received from Bacon his idea of the contents of the sciences and from Descartes his idea of their form. By what means did he invest such matter with such a form? The answer to this question is found in the positive theory of science.
[CHAPTER IV]
SCIENCE
We may admit, with Aristotle, that curiosity is natural to man, and that we are inclined to inquire into things for the pleasure of knowing them. But it must be admitted, adds Comte, that this inclination is one of the least active and the least imperative in our nature. It must have been still less so in the beginning of mankind’s development; and it was, in any case, much weaker than the inclination to laziness, or than the repugnance to accept anything new. It has therefore been necessary, in order that man might emerge from his primitive intellectual torpor, that the activity of his mind should be induced and even compelled to exert itself by pressing circumstances. Such were undoubtedly the necessities of hunting, the dangers of war, and in a general way, the desire to avoid suffering and death.
Moreover, the knowledge which the human mind acquires at first is only very imperfectly real; for theological philosophy furnishes the mind with its first conceptions. Man begins by supposing everywhere wills like his own, and the world which surrounds him is peopled with gods or fetishes. Nevertheless, from this first period, the rudiments of a more positive knowledge already appear. In every order of phenomena some are very simple and of such striking regularity, that evidently no arbitrary will intervenes in their working. Man must very quickly have had a “real” idea of these phenomena. In all the other cases instead of observing the phenomena he imagined the mode of their production; but here he observed the sequences and concomitances which he could not resist; and he regulated his conduct upon this observation. From this humble beginning science came into being.
In this way, far from opposing scientific thought to common thought, as most of the philosophers do, Comte, without disregarding the special character of one and of the other shows that both spring from the same source, and that they do not present any essential point of difference. However abstract and however elevated science may become, it always remains, according to him, a “simple special prolongation” of good sense, of common sense and of “universal wisdom.” The character of “positivity,” by which scientific knowledge is distinguished from theological and metaphysical conceptions, belongs also to popular wisdom. Like this wisdom, which the practical necessities of life have formed, science abstains from searching after the causes, the ends, the substances, and whatever is beyond the reach of verification by experience. Its efforts bear exclusively upon the laws of coexistence and of succession which govern the phenomena. And again it is from this wisdom that it has borrowed the spirit of its positive method, which consists in observing facts and in systematising observations to rise to the concept of laws.
It follows from this that science contains within itself neither its starting-point nor its terminus. Both are given it by “common sense” whence it springs. The starting-point is the spontaneous observation of constant relations between the most simple phenomena. The terminus is the knowledge of these same relations among all given phenomena, as complete and as precise as our requirements demand. Indeed the common sense, or the popular wisdom, is soon baffled by the complexity of phenomena. If we had no other guide we should know very little, and in nearly all cases we should be reduced to a kind of empirical divination. The function of science is to substitute a real knowledge of laws to this divination.
This function would never have been fulfilled if the human mind had not possessed the property of being able to separate theory from practice. Undoubtedly the former proceeds from the latter. As has been said, every science is born from a corresponding art, and from the desire to perfect it. But this perfecting would not have gone very far, if the human mind had never lost sight of it. Happily, man is capable of temporarily forgetting his immediate interests in the pursuit of knowledge. By degrees, from the complexity of concrete cases, he has learnt to disengage the elements common to a whole class of phenomena. He has thus formed the idea of law, or the invariable relation between given phenomena. Beyond the intellectual satisfaction which this knowledge gave him, he found in time applications of it which he would never have imagined beforehand. To quote an example from a civilisation already very advanced, when the Greek geometers patiently applied themselves to the study of conic sections, did they suspect that their labours would one day serve in calculating certain astronomical determinations upon which the safety of mariners would depend?
In this way, science, utilitarian in its origin, since it sprang from the practical needs of man, utilitarian in its end, since it aims at providing for those needs, has nevertheless been unable to develop itself and will be unable still to do so in the future, except by neglecting this very utility. Better to fulfil its destiny, it must provisionally forget it; and it will be the more useful, in the long run, in proportion as it will have been the more disinterested. We never know, a priori, if a discovery which finds no application to-day, combined later with another one, will not be of capital interest for mankind. Therefore it is of the highest importance that theoretical order should remain clearly distinct from the practical order.
That is why Comte regarded the appearance of a sacerdotal class, specially occupied with speculative research, as a decisive moment in history of humanity. It matters little that these researches should have remained chimerical and absurd during long centuries. The essential point was that the human mind should form and keep the habit of disinterested speculation, that it should not rest content with immediately applicable knowledge, and that it should exert itself towards a theoretical conception of nature, however simple at first that conception was bound to be.
Thus, science has, properly speaking, two roots, the one practical, the other theoretical. If it originated in the primitive arts, it is no less closely allied with primitive philosophy. It still bears features which enable us to discern this twofold filiation. On the one hand, it has remained speculative as was the theological philosophy which first dominated over the human mind. Only this speculation has gradually abandoned everything except the laws of phenomena, and it has ended by undermining the theological conceptions from which it came. On the other hand, science has remained real, like the popular wisdom which gave it birth. But, while dealing with given phenomena in experience, it has developed in the direction of theory. Instead of only considering scenes of concrete objects, it has resolved them into their elements. A more and more powerful analysis has raised it to the consideration of laws more and more general and abstract. Thus, while the popular wisdom is limited to empirical generalisations, a science such as, for instance, astronomy discovers the law which governs the whole of an immense order of phenomena.
From this general idea of science the following consequences at once follow:
1. Science is the collective work of humanity. It bears upon an object common to all: Reality. It employs the method common to all: the positive method. All intellects work in the same manner on a common ground. It is what Comte calls “the profound mental identity of learned men with the crowd whose destiny fulfils itself in active work.[31]” The progress of the scientific mind is a methodical extension of popular common sense to all subjects accessible to human reason. But here method does almost everything. “The whole superiority of the philosophical mind over the popular common sense results from a special and continuous application to common speculations, in starting prudently from the initial step, after having brought them back to a normal state of judicious abstraction, for the purpose of generalising and coordinating. For, what ordinary intellects chiefly lack, is less the precision and penetration appropriate for discerning partial approximations, than the aptitude for generalising abstract relations, and for establishing a perfect logical coherence among our various notions.”[32]
The germ of the highest scientific conceptions is often to be found in common reason. Comte delights in giving as an example one of the discoveries which he most admires, Descartes’ invention of analytical Geometry. To determine at every moment the position of a point in space by its distance from fixed axes: is not that what geographers have been doing for so long in order to determine the longitude and latitude of a place upon the terrestrial sphere? And has not this proceeding itself been suggested to the geographer by simple common sense? For he instinctively seeks to mark the inaccessible points which interest him, by means of their distance from given points or lines. From this the idea of the Cartesian co-ordinates only differs by a superior degree of abstraction and of generality.
Thus all men must be regarded as collaborating in the discovery of truth as much as in making use of it. Speaking generally, if the great philosophers and scientific men of genius seem to be the intellectual guides of humanity, it is because they are the first to be affected by each mental revolution. They are the first to pass from a traditional to a new attitude and their example is decisive. But, says Comte, “the changes relating to the method of thinking with originality only become manifest when they are almost accomplished.” The great men whose names are justly authors attached to are, however, more the heralds than the of these changes.
2. Science is the work of all: it must therefore be accessible to all. It is a patrimony common to the whole of mankind; and the inheritance must be taken from no one. As a consequence, the State owes scientific instruction to those who are not in a position to procure it for themselves. Not that all men, all the people ought to acquire a deep knowledge of the several fundamental sciences, like those who make it the particular occupation of their lives. The impossibility of such a thing is too evident for several reasons. Neither is it a question of popularising the great scientific theories, for the use of badly prepared minds. Comte condemns severely this way of “simplifying” science. For instance, he will not allow Newton’s laws to be separated from their demonstrations. It will always be the duty of the greater number of men to adopt the majority of scientific truths on the testimony of those who will have discovered, criticised and verified them. But, what it will be the duty of common education to give to every mind, is the habit of conceiving all phenomena, from the most simple to the most complex, as equally governed by invariable laws, and, consequently, of understanding the whole of nature as an order which the positive method alone allows us to discover and to modify. And as this method cannot be studied apart from the sciences in which it is used, it will be necessary for every man to be made acquainted with a summary of each fundamental science, from mathematics to sociology. There is nothing impracticable in this scheme. Comte has drawn out, in the positive Polity, a plan of education conceived on this principle. On this condition alone will philosophy, founded upon positive science, succeed in realising the harmony of minds, and in “reorganising the beliefs.”