Mathematical philosophy, a study of fate and freedom; lectures for educated laymen, by Cassius J. Keyser.

868 MATHEMATICAL PHILOSOPHY
logical "outcome" or effect-upon psychologists-was
"just nothing." On the contrary the effect was great and
it was soothing; it dampened interest in Fechner's work;
it moderated admiration of the man; and it greatly relieved many a psychologist who had been frightened by
what had seemed a serious mathematical invasion of his
subject. James's discussion of the matter is very interesting and enlightening-more so than any other I have
seen; his presentation of the law in question is marred,
however, by some inaccuracies; moreover, respecting the
significance of the law, it has, if I be not mistaken, certain
implications and important bearings not noticed by James
nor, I believe, by others. It has, therefore, seemed to
me that a discussion of the matter might be properly included in this course, even though part of my remarks
can at most remind you of things you are already familiar with.
The Rise of Psychology as an Experimental Science.
-For convenience of reference let me place before you,
in chronological order, five important names.
Immanuel Kant (I724-I804)
Johann Friedrich Herbart (1776-I84I)
Ernst Heinrich Weber (1796-I878)
Gustav Theodor Fechner (I80I-I887)
Bernhard Riemann (I826-1866)
I well remember that, when I was a boy, it was customary for people who liked to talk about science to
speak of two kinds thereof-the natural, or physical,
sciences and the so-called mental sciences. The classification was then an old one but it is not yet without some
vogue, The distinction may not have been profound but
it was obvious: the former kind of science was quantita