II. MATHEMATICS AS AN ELEMENT IN THE HISTORY OF 28 THOUGHT III. THE CENTURY OF GENIUS 55 IV. THE EIGHTEENTH CENTURY 80 V. THE ROMANTIC REACTION 105 VI. THE NINETEENTH CENTURY 134 VII. RELATIVITY 160 VIII. THE QUANTUM THEORY 181 IX. SCIENCE AND PHILOSOPHY 193 X. ABSTRACTION 219 XI. GOD 242 XII. RELIGION AND SCIENCE 252 XIII. REQUISITES FOR SOCIAL PROGRESS 270 PREFACE The present book embodies a study of some aspects of Western culture during the past three centuries, in so far as it has been influenced by the development of science. This study has been guided by the conviction that the mentality of an epoch springs from the view of the world which is, in fact, dominant in the educated sections of the communities in question. There may be more than one such scheme, corresponding to cultural divisions. The various human interests which suggest cosmologies, and also are influenced by them, are science, aesthetics, ethics, religion. In every age each of these topics suggests a view of the world. In so far as the same set of people are swayed by all, or more than one, of these interests, their effective outlook will be the joint production from these sources. But each age has it dominant preoccupation; and, during the three centuries in question, the cosmology derived from science has been asserting itself at the expense of older points of view with their origins elsewhere. Men can be provincial in time, as well as in place. We may ask ourselves whether the scientific mentality of the modern world in the immediate past is not a successful example of such provincial limitation. Philosophy, in one of its functions, is the critic of cosmologies. It is its function to harmonise, refashion, and justify divergent intuitions as to the nature of things. It has to insist on the scrutiny of the ultimate ideas, and on the retention of the whole of the evidence in shaping our cosmological scheme. Its business is to render explicit, and—so far as may be—efficient, a process which otherwise is unconsciously performed without rational tests.