Foreword
This work Pattern Based Reason surveys rule and pattern based
thought in daily life, society, science and technology. There are simple
ideas which should be more widely known.
The first chapters below show how reliable implication rules can be
employed one at a time or one after another to arrive at conclusions.
These chapters are very simple. Mastery of their ideas will serve well
all students of logic.
Pattern
Based
Reason
understanding and explaining
reason and math
Volume 1A
by
Alan M. Selby
Ph. D.
Printed in Canada
ISBN 0-9697564-5-3
|
The middle chapters describe or survey the origins, discovery and
applications of rules and patterns. Not all is certain. Further data to
use with them may be missing or not available. In the middle chapters,
the problem of identifying reliable knowledge is described, but not
solved, except for an explanation of the empirical method of coping. The
identification problem touches many subjects. Students of critical
thinking, persuasion, philosophy, mathematics, science and technology
should find its discussion helpful.
The last chapters in this book show how the common concepts of a rule
being obeyed, disobeyed or not disobeyed may justify or explain or
provide a context for the entries in truth tables for material
implication. Some symbols appear in the discussion of logic. All may be
regarded as substitutes for the pronoun IT. The last chapter describes
indirect methods for using implication rules to arrive at conclusions - a
subject of interest to mathematics students and perhaps readers of
detective mysteries.
Selby, Alan M,
Understanding and Explaining reason and math
Contents: v. 1. Elements of Reason - v. 2. Three Skills
for algebra - v.3. Why Slopes and more math.
ISBN 0-9697564-4-5 (set) -
ISBN 0-9697564-1-0 (v. 1) -
ISBN 0-9697564-2-9 (v. 2) -
ISBN 0-9697564-3-7 (v. 3) -
1. Mathematics–Philosophy. 2. Reason.
3. Algebra. 4. Calculus. I. Title. II. Title: Elements of reason. III.Three
Skills for algebra. IV. Title: Why Slopes and more math.
QA8.4.S44 1995 510’.1 C95-900945-0
Note: Volume 1 consists of Volumes 1A and 1B bound together
with a foreword to introduce both and volumes 2 and 3.
Selby A, Volume 1A, Pattern Based Reason, 1996.
|
|