Associationalism has been reasserted by James Mill (1773-1836; Analysis of the Phenomena of the Human Mind, 1829), whose influence lives on in the work of his greater son. The latter, John Stuart Mill,[1] was born in London 1806, and was from 1823 to 1858 a secretary in the India House; after the death of his wife he lived (with the exception of two years of service as a Member of Parliament) at Avignon; his death occurred in 1873. Mill's System of Logic appeared in 1843, 9th ed., 1875; his Utilitarianism, 1863, new ed., 1871; An Examination of Sir William Hamilton's Philosophy, 1865, 5th ed., 1878; his notes to the new edition of his father's work, Analysis of the Phenomena of the Human Mind, 2d ed., 1878, also deserve notice. With the phenomenalism of Hume and the (somewhat corrected) associational psychology of his father as a basis, Mill makes experience the sole source of knowledge, rejecting a priori and intuitive elements of every sort. Matter he defines as a "permanent possibility of sensation"; mind is resolved into "a series of feelings with a background of possibilities of feeling," even though the author is not unaware of the difficulty involved in the question how a series of feelings can be aware of itself as a series. Mathematical principles, like all others, have an experiential origin—the peculiar certitude ascribed to them by the Kantians is a fiction—and induction is the only fruitful method of scientific inquiry (even in mental science). The syllogism is itself a concealed induction.

[Footnote 1: Cf. on Mill. Taine, Le Positivisme Anglais, 1864 [English, by Haye]; the objections of Jevons (Contemporary Review, December, 1877 seq., reprinted in Pure Logic and other Minor Works, 1890; cf. Mind, vol. xvi. pp. 106-110) to Mill's doctrine of the inductive character of geometry, his treatment of the relation of resemblance, and his exposition of the four methods of experimental inquiry in their relation to the law of causation; and the finely conceived essay on utilitarianism, by C. Hebler, Philosophische Aufsãtze, 1869, pp. 35-66. [Also Mill's own Autobiography, 1873: Bain's John Stuart Mill, a Criticism, 1882; and T.H. Green, Lectures on the Logic, Works, vol. ii.—TR.]

When I assert the major premise the inference proper is already made, and in the conclusion the comprehensive formula for a number of particular truths which was given in the premise is merely explicated, interpreted. Because universal judgments are for him merely brief expressions for aggregates of particular truths, Mill is able to say that all knowledge is generalization, and at the same time to argue that all inference is from particulars to particulars. Inference through a general proposition is not necessary, yet useful as a collateral security, inasmuch as the syllogistic forms enable us more easily to discover errors committed. The ground of induction, the uniformity of nature in reference both to the coexistence and the succession of phenomena, since it wholly depends on induction, is not unconditionally certain; but it may be accepted as very highly probable, until some instance of lawless action (in itself conceivable) shall have been actually proved. Like the law of causation, the principles of logic are also not a priori, but only the highest generalizations from all previous experience.

Mill's most brilliant achievement is his theory of experimental inquiry, for which he advances four methods: (1) The Method of Agreement: "If two or more instances of the phenomenon under investigation have only one circumstance in common, the circumstance in which alone all the instances agree is the cause (or effect) of the given phenomenon." (2) The Method of Difference: "If an instance in which the phenomenon under investigation occurs, and an instance in which it does not occur, have every circumstance in common save one, that one occurring only in the former; the circumstance in which alone the two instances differ, is the effect, or the cause, or an indispensable part of the cause, of the phenomenon," These two methods (the method of observation, and the method of artificial experiment) may also be employed in combination, and the Canon of the Joint Method of Agreement and Difference runs: "If two or more instances in which the phenomenon occurs have only one circumstance in common, while two or more instances in which it does not occur have nothing in common save the absence of that circumstance, the circumstance in which alone the two sets of instances differ is the effect, or the cause, or an indispensable part of the cause, of the phenomenon." (3) The Method of Residues: "Subduct from any phenomenon such part as is known by previous inductions to be the effect of certain antecedents, and the residue of the phenomenon is the effect of the remaining antecedents." (4) The Method of Concomitant Variations: "Whatever phenomenon varies in any manner whenever another phenomenon varies in some particular manner, is either a cause or an effect of that phenomenon, or is connected with it through some fact of causation." When the phenomena are complex the deductive method must be called in to aid: from the inductively ascertained laws of the action of single causes this deduces the laws of their combined action; and, as a final step, the results of such ratiocination are verified by the proof of their agreement with empirical facts. To explain a phenomenon means to point out its cause; the explanation of a law is its reduction to other, more general laws. In all this, however, we remain within the sphere of phenomena; the essence of nature always eludes our knowledge.

In the chapter "Of Liberty and Necessity" (book vi. chap, ii.) Mill emphasizes the position that the necessity to which human actions are subject must not be conceived, as is commonly done, as irresistible compulsion, for it denotes nothing more than the uniform order of our actions and the possibility of predicting them. This does not destroy the element in the idea of freedom which is legitimate and practically valuable: we have the power to alter our character; it is formed by us as well as for us; the desire to mould it is one of the most influential circumstances in its formation. The principle of morality is the promotion of the happiness of all sentient beings. Mill differs from Bentham, however, from whom he derives the principle of utility, in several important particulars—by his recognition of qualitative as well as of quantitative differences in pleasures, of the value of the ordinary rules of morality as intermediate principles, of the social feelings, and of the disinterested love of virtue. Opponents of the utilitarian theory have not been slow in availing themselves of the opportunities for attack thus afforded.[1] A third distinguished representative of the same general movement is Alexander Bain, the psychologist (born 1818; The Senses and the Intellect, 3d ed., 1868; The Emotions and the Will, 3d ed., 1875; Mental and Moral Science, 1868, 3d ed., 1872, part ii., 1872; Mind and Body, 3d ed., 1874).

[Footnote 1: On the relation of Bentham and Mill cf. Höffding, p. 68:
Sidgwick's Outlines, chap. iv. § 16; and John Grote's Examination of the
Utilitarian Philosophy
, 1870, chap. i.]

The system projected by Herbert Spencer (born 1820), the major part of which has already appeared, falls into five parts: First Principles, 1862, 7th ed., 1889; Principles of Biology, 1864-67, 4th ed., 1888; Principles of Psychology, 1855, 5th ed., 1890; Principles of Sociology (vol. i. 1876, 3d ed., 1885; part iv. Ceremonial Institutions, 1879, 3d ed., 1888, part v. Political Institutions, 1882, 2d ed., 1885, part vi. Ecclesiastical Institutions, 1885, 2d ed., 1886, together constituting vol. ii.); Principles of Ethics (part i. The Data of Ethics, 1879, 5th ed., 1888; parts ii. and iii. The Inductions of Ethics and The Ethics of Individual Life, constituting with part i. the first volume, 1892; part iv. Justice, 1891). A comprehensive exposition of the system has been given, with the authority of the author, by F.H. Collins in his Epitome of the Synthetic Philosophy, 1889.[1] The treatise on Education, 1861, 23d ed., 1890, his sociological writings, and his various essays have also contributed essentially to Mr. Spencer's fame, both at home and abroad. The First Principles begin with the "Unknowable." Since human opinions, no matter how false they may seem, have sprung from actual experiences, and, when they find wide acceptance and are tenaciously adhered to, must have something in them which appeals to the minds of men, we must assume that every error contains a kernel of truth, however small it be. No one of opposing views is to be accepted as wholly true, and none rejected as entirely false. To discover the incontrovertible fact which lies at their basis, we must reject the various concrete elements in which they disagree, and find for the remainder the abstract expression which holds true throughout its divergent manifestations. No antagonism is older, wider, more profound, and more important than that between religion and science. Here too some most general truth, some ultimate fact must lie at the basis. The ultimate religious ideas are self-contradictory and untenable. No one of the possible hypotheses concerning the nature and origin of things—every religion may be defined as an a priori theory of the universe, the accompanying ethical code being a later growth—is logically defensible: whether the world is conceived atheistically as self-existent, or pantheistically as self-created, or theistically (fetichism, polytheism, or monotheism), as created by an external agency, we are everywhere confronted by unthinkable conclusions. The idea of a First Cause or of the absolute (as Mansel, following Hamilton, has proved in his Limits of Religious Thought) is full of contradictions. But however widely the creeds diverge, they show entire unanimity, from the grossest superstition up to the most developed theism, in the belief that the existence of the world is a mystery which ever presses for interpretation, though it can never be entirely explained. And in the progress of religion from crude fetichism to the developed theology of our time, the truth, at first but vaguely perceived, that there is an omnipresent Inscrutable which manifests itself in all phenomena, ever comes more clearly into view.

[Footnote 1: Cf. also Fiske's Outlines of Cosmic Philosophy, 2 vols., 1874. Numerous critiques and discussions of Spencer's views have been given in various journals and reviews; among more extended works reference may be made to Bowne, The Philösophy of Herbert Spencer, 1874; Malcolm Guthrie, On Mr. Spencer's Formula of Evolution, 1879, and the same author, On Mr. Spencer's Unification of Knowledge, 1882; and T.H. Green, on Spencer and Lewes, Works, vol. i.—TR.]

Science meets this ultimate religious truth with the conviction, grasped with increasing clearness as the development proceeds from Protagoras to Kant, that the reality hidden behind all phenomena must always remain unknown, that our knowledge can never be absolute. This principle maybe established inductively from the incomprehensibility of the ultimate scientific ideas, as well as deductively from the nature of intelligence, through an analysis of the product and the process of thought. (1) The ideas space, time, matter, motion, and force, as also the first states of consciousness, and the thinking substance, the ego as the unity of subject and object, all represent realities whose nature and origin are entirely incomprehensible. (2) The subsumption of particular facts under more general facts leads ultimately to a most general, highest fact, which cannot be reduced to a more general one, and hence cannot be explained or comprehended. (3) All thought (as has been shown by Hamilton in his essay "On the Philosophy of the Unconditioned," and by his follower Mansel) is the establishment of relations, every thought involving relation, difference, and (as Spencer adds) likeness. Hence the absolute, the idea of which excludes every relation, is entirely beyond the reach of an intelligence which is concerned with relations alone, and which always consists in discrimination, limitation, and assimilation—it is trebly unthinkable. Therefore: Religion and Science agree in the supreme truth that the human understanding is capable of relative knowledge only or of a knowledge of the relative (Relativity). Nevertheless, according to Spencer, it is too much to conclude with the thinkers just mentioned, that the idea of the absolute is a mere expression for inconceivability, and its existence problematical. The nature of the absolute is unknowable, but not the existence of a basis for the relative and phenomenal. The considerations which speak in favor of the relativity of knowledge and its limitation to phenomena, argue also the existence of a non-relative, whose phenomenon the relative is; the idea of the relative and the phenomenal posits eo ipso the existence of the absolute as its correlative, which manifests itself in phenomena. We have at least an indefinite, though not a definite, consciousness of the Unknowable as the Unknown Cause, the Universal Power, and on this is founded our ineradicable belief in objective reality.

All knowledge is limited to the relative, and consists in increasing generalization: the apex of this pyramid is formed by philosophy. Common knowledge is un-unified knowledge; science is partially unified knowledge; philosophy, which combines the highest generalizations of the sciences into a supreme one, is completely unified knowledge. The data of philosophy are—besides an Unknowable Power—the existence of knowable likenesses and differences among its manifestations, and a resulting segregation of the manifestations into those of subject and object. Further, derivative data are space (relations of coexistence), time (relations of irreversible sequence), matter (coexistent positions that offer resistance), motion (which involves space, time, and matter), and force, the ultimate of ultimates, on which all others depend, and from our primordial experiences of which all the other modes of consciousness are derivable. Similarly the ultimate primary truth is the persistence of force, from which, besides the indestructibility of matter and the continuity of (actual or potential) motion, still further truths may be deduced: the persistence of relations among forces or the uniformity of law, the transformation and equivalence of (mental and social as well as of physical) forces, the law of the direction of motion (along the line of least resistance, or the line of greatest traction, or their resultant), and the unceasing rhythm of motion. Beyond these analytic truths, however, philosophy demands a law of universal synthesis. This must be the law of the continuous redistribution of matter and motion, for each single thing, and the whole universe as well, is involved in a (continuously repeated) double process of evolution and dissolution, the former consisting in the integration of matter[1] and the dissipation of motion, the latter in the absorption of motion and the disintegration of matter. The law of evolution, in its complete development, then runs: "Evolution is an integration of matter and concomitant dissipation of motion; during which the matter passes from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity; and during which the retained motion undergoes a parallel transformation." This is inductively supported by illustrations from every region of nature and all departments of mental and social life; and, further, shown deducible from the ultimate principle of the persistence of force, through the mediation of several corollaries to it, viz., the instability of the homogeneous under the varied incidence of surrounding forces, the multiplication of effects by action and reaction, and segregation. Finally the principle of equilibration indicates the impassable limit at which evolution passes over into dissolution, until the eternal round is again begun. If it may be said of Hegel himself, that he vainly endeavored to master the concrete fullness of reality with formal concepts, the criticism is applicable to Spencer in still greater measure. The barren schemata of concentration, passage into heterogeneity, adaptation, etc., which are taken from natural science, and which are insufficient even in their own field, prove entirely impotent for the mastery of the complex and peculiar phenomena of spiritual life.