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

CONTENTS xi
PAGES
All Heritors of Their Mother's Form-Their Common
Character aud Individualities-Excessive Meaning of
Content-Generic and Specific Meanings of Euclidean
and Non-Euclidean-Three Properties Common to
Postulate Systems-Fertility and Compendence and
Compatibility...................................... 104-117
LECTURE VIII
POSTULATE PROPERTIES
Scientific Platforms-Their Fertility, Compendence and
Compatibility-Differences of Equivalent PlatformsVarieties of Platforms and Functions-Meanings of
Independence and Categoricalness-Theoretical and
Practical Doubt.................................... II8-I29
LECTURE IX
TRUTH AND THE CRITIC's ART
Mathematical Philosophy in the Rôle of Critic-A World
Uncriticised, the Garden of the Devil-"Supersimian"
Wisdom-Autonomous Truth and Autonomous Falsehood —Other Varieties of Truth and Untruth-Mathematics the Study of Fate and Freedom-Its Pure
Branches as Doctrinal Functions-Its Applied Branches
as Doctrines-The Prototype of Reasoned Discourse
Often Disguised as in The Declaration of Independence,
The Constitution of the United States, The Origin of
Species, The Sermon on the Mount.................... 130-152
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