A word ought perhaps to be said about our attitude towards the “dialectical” method as employed by Hegel and his followers. It was Hegel’s conviction that the whole series of concepts or categories by which the mind attempts to grasp the nature of experienced Reality as a whole, from the most rudimentary to the most adequate, can be exhibited in a fixed order which arises from the very nature of thought itself. We begin, he held, by the affirmation of some rude and one-sided conception of the character of what is; the very imperfection of our concept then forces us on to affirm its opposite as equally true. But the opposite, in its turn, is no less one-sided and inadequate to express the full character of concrete reality. Hence we are driven to negate our first negation by affirming a concept which includes both the original affirmation and its opposite as subordinate aspects. The same process repeats itself again at a higher stage with our new category, and thus we gradually pass by a series of successive triads of categories, each consisting of the three stages of affirmation, negation, and negation of the negation, from the beginning of an intellectual interpretation of the world of experience, the thought of it as mere a “Being,” not further defined, to the apprehension of it as the “Absolute Idea,” or concrete system of spiritual experience. It was the task of abstract Metaphysics (called by Hegel, Logic) to exhibit the successive stages of this process as a systematic orderly advance, in which the nature of each stage is determined by its place in the whole. As Hegel also held that this “dialectic” process is somehow not confined to the “subjective” or private intelligence of the student of Philosophy, but also realised in the structure of the “objective” universe, it followed that its successive stages could be detected in physical nature and in History in the same order in which they occur in “Logic,” and many of Hegel’s best-known works are devoted to exhibiting the facts of Physics, Ethics, Religion, and History in the light of this doctrine. The subsequent advances of the various sciences have so completely proved the arbitrariness and untrustworthiness of the results obtained by these “deductions” that some of the best exponents of the Hegelian type of Philosophy are now agreed to abandon the claim of the Dialectic to be more than a systematisation of the stages through which the individual mind must pass in its advance towards a finally satisfactory conception of Reality. But even within these limits its pretensions are probably exaggerated. No satisfactory proof can be produced that, even in abstract Metaphysics, the succession of categories must be precisely that adopted by Hegel. There are some categories of the first importance, _e.g._, that of _order_ in Mathematics, which hardly get any recognition at all in his system, and others, such as those of “Mechanism” and “Chemism,” which play a prominent part, are obviously