However, the encyclopædic laws are destined to play a part in the positive philosophy of nature, which may be compared, in some respects, with that of the categories in Aristotle’s philosophy. They are the most general forms under which the phenomena given in experience become objects of scientific thought for us. As in each class of phenomena we determine laws, principles of order and of harmony, so the encyclopædic laws make the order and the harmony of the different classes among themselves. They are, so to speak, the laws of laws. Through them the human mind which has already reached unity of method, may some day reach a certain unity of knowledge. But this unity will always differ by two essential characteristics from that which metaphysicians have pursued up to the present time: it will respect the irreducibleness of the various fundamental sciences, and it will remain relative, both by the conditions of the object and by those of the subject, upon which it equally depends.
Our conception of universal order “results from a necessary concurrence between that which is without us, and that which is within. The laws, that is to say the general facts, are never anything but hypotheses confirmed by observation. If harmony in no way existed outside us our mind would be entirely incapable of conceiving it, but in no case is it verified so much as we suppose it to be.”[82] We neither make order nor perceive it entirely. By long and arduous labour the human intellect gradually disengages the concept of order out of the facts that come crowding within its reach. It is an imperfect, contingent, perishable order, in a word, an order, relative like the mind itself. It is order nevertheless, and a necessary condition for ethics as well as for science.
[CHAPTER VI]
SCIENCE (CONTINUED)—POSITIVE LOGIC
Logic, says Comte, almost in the terms of Descartes, is the sole portion of ancient philosophy which is capable of still presenting some appearance of utility.[83] And does even this appearance correspond to a very solid reality?
If we distinguish, according to custom, formal logic from applied logic, Comte in his system will find no place for the former, which establishes a priori the principles and the mechanism of reasoning. As to the principles, which are the laws of the understanding, positive philosophy has shown that the only way to discover them is to study the products of the human intellect, that is to say, the development of the sciences. And it is again from these sciences that, through observation, the theory of reasoning must be drawn. Formal logic, as metaphysicians have constructed it, especially develops the dialectical faculty, that is to say, an aptitude more harmful than useful, for proving without finding.[84] Descartes said the same, in speaking of the syllogism, that it serves more for explaining to others the things which we know, than to discover those which we ignore.
All the utility which we can attribute to the study of logic properly so-called is found again more extended, more varied, more complete, more luminous, in mathematical studies. The mechanism of reasoning is everywhere the same. Whatever may be the phenomena which are the objects of a science the nature of deduction and induction never changes in them. Thus in practising these forms of reasoning in the most simple and the most general phenomena, those whose science is most advanced, we learn to know them with the most entire evidence, and in all the generality of which they are capable. Nowhere is reasoning so exact, so rigorous as in mathematics. They accustom the mind not to feed upon false reasons, and it is in that school that men ought to learn the theory and the practice of reasoning.
But, if the old pure logic is thus replaced by mathematics, must we not at least preserve the general study of the processes used in the various sciences, which is called methodology? Has not Comte himself insisted upon the irreducibleness of the several orders of laws to one another, and in particular to the mathematical laws? Is not the legitimate object of logic to define the processes of investigation and of proof particular to each of the fundamental sciences?
Comte does not think so. This applied logic does not appear to him to be more indispensable than formal logic. In the first place, the former, in fact, supposes the latter. It proceeds from the same philosophical conception. In order to determine a priori, in a general way, the rules of the application of the mind to its various scientific objects, we should first have to possess a knowledge of the laws of the mind. But, according to Comte, this knowledge can only be obtained by the observation of the methods which the mind has indeed followed. Moreover, no art is taught abstractedly, not even the art of reasoning well, nor that of experimenting, of finding hypotheses, etc. It has never been sufficient to know the rules of versification in order to write true poetry. A deep knowledge of the rules of method will not lead to scientific discoveries.[85] Whatever we learn of an art, it is practice that has taught us. Nothing here can replace time, natural disposition, and experience.
Methods then cannot be studied apart from the positive researches in which men of learning make use of them. Even supposing that in the far future, when the sciences are advanced, the methods and their applications could be taught by themselves, the study would run a great risk of yielding poor results.[86] Up to the present time all that has been said of the method, considered in the abstract, reduces itself to vague generalities. When, in logic, we have thoroughly established that all our science of nature must be founded upon observation, that we must proceed sometimes from facts to principles, sometimes from principles to facts, and a few other similar aphorisms, we know far less of the method than the man who has studied a single one of the positive sciences somewhat deeply, even without any philosophical purpose. It is thus that Eclectic philosophers have imagined to make their psychology into a science, thinking they could understand and practice the positive method because they had read the Novum Organum and the Discours de la Méthode. But did not Bacon, Pascal, Descartes, and the other great scientific leaders insist on the uselessness of abstract considerations about method? They never separated the rules they formulated from their application to positive research.