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Books > Social sciences > Psychology > Psychological methodology
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Theories of Meaningfulness (Paperback)
Loot Price: R1,698
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Theories of Meaningfulness (Paperback)
Series: Scientific Psychology Series
Expected to ship within 10 - 15 working days
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Written by one of the masters of the foundation of measurement,
Louis Narens' new book thoroughly examines the basis for the
measurement-theoretic concept of meaningfulness and presents a new
theory about the role of numbers and invariance in science. The
book associates with each portion of mathematical science a subject
matter that the portion of science is intended to investigate or
describe. It considers those quantitative or empirical assertions
and relationships that belong to the subject matter to be
meaningful (for that portion of science) and those that do not
belong to be meaningless. The first two chapters of the Theories of
Meaningfulness introduce meaningfulness concepts, their place in
the history of science, and some of their traditional applications.
The idea that meaningfulness will have different, but interrelated
uses is then introduced. To provide formal descriptions of these,
the author employs a powerful framework that incorporates pure
mathematics, provides for qualitative objects and relations, and
addresses the relationships between qualitative objects and pure
mathematics. The framework is then applied to produce axiomatic
theories of meaningfulness, including generalizations and a new
foundation for the famous Erlanger Program of mathematics. The
meaningfulness concept is further specialized with the introduction
of intrinsicness, which deals with meaningful concepts and
relations that are lawful and qualitativeness, which is concerned
with qualitative concepts. The concept of empiricalness is then
introduced to distinguish it from meaningfulness and
qualitativeness. The failure to distinguish empiricalness from
meaningfulness and qualitativeness has produced much confusion in
the foundations of science literature and has generated many
pseudo-controversies. This book suggests that many of these
disappear when empiricalness is intersected with the other concepts
to produce "meaningful and empirical relations," "empirical laws,"
and "qualitative and empirical concepts." A primary goal of this
book is to show that the new theories of meaningfulness and
intrinsicness developed in this book are not only descriptive but
are also potent. Asserting that they do more than codify already
existing concepts the book: *works out logical relationships
between meaningfulness concepts that were previously unrecognized;
*clarifies certain well-known and important debates by providing
rich languages with new concepts and technical results (theorems)
that yield insights into the debated issues and positions taken on
them; and *provides new techniques and results in substantive
scientific areas of inquiry. This book is about the role of
mathematics in science. It will be useful to those concerned with
the foundations of science in their respective fields. Various
substantive examples from the behavioral sciences are presented.
General
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