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

LECTURE X
Transformation
NATURE OF MATHEMATICAL TRANSFORMATION-NO
TRANSFORMATION, NO THINKING-TRANSFORMATION LAW ESSENTIALLY PSYCHOLOGICAL-RELATION AND FUNCTION AND TRANSFORMATION AS
THREE ASPECTS OF ONE THING-ITS STUDY THE
COMMON ENTERPRISE OF SCIENCE-THE ART OF
MATHEMATICAL RHETORIC-THE STATIC AND THE
DYNAMIC WORLDS-THE PROBLEM OF TIME AND
KINDRED PROB LEMS-IMPORTATION OF TIME AND
SUPPRESSION OF TIME AS THE CLASSIC DEVICES OF
SCIENCES
LOOKING back to the days of my youth, I see pretty
clearly and a little sadly that in this good land of ours
secondary and collegiate mathematical instruction was,
with little exception, then remarkable for two things: its
emphasis and its silence. It was very diligent and very
emphatic about small matters; about great ones it was
dumb.1 I am led to this reflection by recalling my first
and second introductions to the term, "transformation."
The first was in algebra; there was a chapter on the cubic
and the biquadratic equations, which we were to learn
See in this connection Professor J. C. Fields' brilliant addressUniversities, Research and Brain Waste-published by the University of
Toronto Press, 1920.
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