Fundamental Conceptions of Modern Mathematics: Variable and Quantities: With a Discussion of the General Conception of Functional Relation

THE present work is essentially one of constructive criticism. It is, we believe, the first attempt made on any extensive scale to examine critically the fundamental conceptions of Mathematics as embodied in the current definitions. The purpose of our examination is not solely or even chiefly to show the presence of error, but to pro mote the development of a more scientific doctrine. In expounding our own views we have often been obliged to find fault with those of others; but we have not ...