[17] _Essai sur les Fondements de nos Connaissances_, vol. 2, p. 224.
This distinction, according to Cournot, lies in the fact that science has for its object that which can be measured, and that which can be reduced to a rigorous chain or connection. In brief, science is characterised by quantity. Philosophy, on the other hand, concerns itself with quality, for it endeavours not so much to measure as to appreciate.
Cournot reminds the apostles of science that quantity, however intimately bound up with reality it may be, is not the essence of that reality itself. He is afraid, too, that the neglect of philosophy by science may cause the latter to develop along purely utilitarian lines. As an investigation of reality, science is not ultimate. It has limits by the fact that it is concerned with measurement, and thus is excluded from those things which are qualitative and incapable of quantitative expression. Science, moreover, has its roots in philosophy by virtue of the metaphysical postulates which it utilises as its basis. Physics and geometry, Cournot maintains, both rest upon definitions which owe their origin to speculative thought rather than to experience, yet these sciences claim an absolute value for themselves and for those postulates as being descriptions of reality in an ultimate sense.
Following out his distinction between philosophy and the sciences, Cournot claims in a Kantian manner that while the latter are products of the human understanding the former is due to the operation of reason. This apparent dualism Cournot does not shrink from maintaining; indeed, he makes it an argument for his doctrine of discontinuity. The development of a science involves a certain breach with reality, for the progress of the science involves abstraction, which ever becomes more complicated. Cournot here brings out the point which we noticed was stressed by Renan.[18]
Reason produces in us the idea of order, and this “idea of order and of reason in things is the basis of philosophic probability, of induction and analogy.”[19] This has important bearings upon the unity of science and upon the conception of causality which it upholds. In a careful examination of the problems of induction and analogy, Cournot emphasises the truth that there are facts which cannot be fitted into a measured or logical sequence of events. Reality cannot be fitted into a formula or into concepts, for these fail to express the infinite variety and richness of the reality which displays itself to us. Science can never be adequate to life, with its pulsing spontaneity and freedom. It is philosophy with its _vue d’ensemble_ which tries to grasp and to express this concreteness, which the sciences, bound to their systematic connection of events within separate compartments, fail to reach or to show us. Referring to the ideas of beauty and of goodness, Cournot urges a “transrationalism,” as he calls it, which, while loyal to the rational requirements of science, will enable us to take the wider outlook assumed by philosophy.[20]