Abstract

The epoch-making revolution that has been taking place in mathematics and physics during the past hundred years is gradually changing our whole conception of reality and of the function of science in regard to it. We have discovered that the “common sense” view of the world which has become ingrained in the feeling-thought habits of Western man, especially since the seventeenth century, contains elements of serious limitation and even an illusion both from the standpoint of immediately intuited experience and from that of demonstrated scientific fact. Moreover, by a long drawn out tortuous process, lasting over many centuries and involving the constant creation and correction of an enormously complicated scientific structure, we have finally arrived at an understanding of what may be the root of our difficulty. It seems that certain peculiarities of the over-all grammatical structure of those languages that have conditioned the feeling-thought world of the West have tended to lead us astray. Their correction, however, has so far been possible only through the invention of new esoteric languages, such as the symbolism of mathematics and the new logic. By means of these “languages of science” modern mathematicians and physicists have at last succeeded in freeing themselves from the shackles of their everyday speech and “common sense” concepts, at least so far as their scientific work is concerned.