This series of books is meant to present the fundamentals of
reasoning well in a clear manner accessible to both scholars and
students. The body of each essay gives the main development of the
subject, while the footnotes and appendices place the research
within a larger scholarly context. The topic of this volume is the
nature and evaluation of reasoning in science and mathematics.
Science and mathematics can both be understood as proceeding by a
method of abstraction from experience. Mathematics is distinguished
from other sciences only in its greater abstraction and its demand
for necessity in its inferences. That methodology of abstraction is
the main focus here. The study of these subjects is not just of
academic interest. First comes clear thinking, then comes clear
research and clear writing. The essays: Background Models and
Theories Experiments Mathematics as the Art of Abstraction
General
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