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

xii CONTENTS
PAGES
Common Enterprise of Science-The Art of Mithematical Rhetoric-The Static and the Dynaniic Wôrlds
-The Prdblem of Time and Kindred Ptoblets-importation of Time ahd Suppression of Time as the Classic
Devices of Sciences............................ 153-180
LECTURE XI
INVARtIANCE
The Ages-old Problem of Permanence and Change-The
Quest of What Abides in a Fluctuant World-The
Binding Thread of Human History-The Tie of Comradeship Among thé Enterprises of the Human SpiritNeed of Critical History of Thought................... 18-I99
LECTURE XII
THE GROUP CONCEPT
The Notion Simply Exemplified in Many Fieids-Is "Mind"
a Group?-Groups as Instruments for Delimiting Doctrines-Connection of Group with Transformation and
Invariance-The Idea Foreshadowed in the Ages of
Speculation-The Philosophy of the Cosmic Year-The
Idea of Progress...................... 200-232
LECTURE XIII
VARIABLES AND LIMITS
A Glance at the Shadowy Background of Scientific Ideas-The
Meanings of Variable and Constant-Ranges of Variation
and the Idea of Neighborhood-Various Definitions of
Limit Clarified by Simple Examples-The Scandal of a
Starving Nurse in the Richest Land Known to History.. 233-264
LECTURE XIV
MORE ABOUT LIMITS
Further Definitions of Limit-Limits and the Infinitesimal
Calculus-Connection with Order, Series and Sequence