The Theory of Problem-Solution Dualities and Polarities

The Theory of Problem-Solution Dualities and Polarities

Author: Kofi Kissi Dompere

Publisher: Springer Nature

Published: 2022-04-25

Total Pages: 333

ISBN-13: 303090279X

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This book is concerned with the development of the understanding of the relational structures of information, knowledge, decision–choice processes of problems and solutions in the theory and practice regarding diversity and unity principles of knowing, science, non-science, and information–knowledge systems through dualistic-polar conditions of variety existence and nonexistence. It is a continuation of the sequence of my epistemic works on the theories on fuzzy rationality, info-statics, info-dynamics, entropy, and their relational connectivity to information, language, knowing, knowledge, cognitive practices relative to variety identification–problem–solution dualities, variety transformation–problem–solution dualities, and variety certainty–uncertainty principle in all areas of knowing and human actions regarding general social transformations. It is also an economic–theoretic approach in understanding the diversity and unity of knowing and science through neuro-decision–choice actions over the space of problem–solution dualities and polarities. The problem–solution dualities are argued to connect all areas of knowing including science and non-science, social science, and non-social-science into unity with diversities under neuro-decision–choice actions to support human existence and nonexistence over the space of static–dynamic dualities. The concepts of diversity and unity are defined and explicated to connect to the tactics and strategies of decision–choice actions over the space of problem–solution dualities. The concepts of problem and solution are defined and explicated not in the space of absoluteness but rather in the space of relativity based on real cost–benefit conditions which are shown to be connected to the general parent–offspring infinite process, where every solution generates new problem(s) which then generates a search for new solutions within the space of minimum–maximum dualities in the decision–choice space under the principle of non-satiation over the space of preference–non-preference dualities with analytical tools drawn from the fuzzy paradigm of thought which connects the conditions of the principle of opposites to the conditions of neuro-decision–choice actions in the zone of variety identifications and transformations. The Monograph would be useful to all areas of Research, Learning and Teaching at Advanced Stages of Knowing and Knowledge Production.


Dualities

Dualities

Author: Michelle Voss Roberts

Publisher: Westminster John Knox Press

Published: 2010-01-01

Total Pages: 230

ISBN-13: 0664234496

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Philosophy and theology have each struggled with the problem of dualismùthe conviction that reality comprises material arid nonmaterial entities. Too often, this split places God, spirit, mind, and the masculine in opposition to evil, body, matter, and the feminine. These intellectual divisions support social structures that oppress rather than embrace women, the poor, people of color, and others. With this volume, Voss Roberts expertly shows how comparative theology uproots dualism and fosters new modes of community built on cooperation instead of oppression.


Duality in 19th and 20th Century Mathematical Thinking

Duality in 19th and 20th Century Mathematical Thinking

Author: Ralf Krömer

Publisher: Springer Nature

Published: 2024

Total Pages: 962

ISBN-13: 3031597974

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This volume brings together scholars across various domains of the history and philosophy of mathematics, investigating duality as a multi-faceted phenomenon. Encompassing both systematic analysis and historical examination, the book endeavors to elucidate the status, roles, and dynamics of duality within the realms of 19th and 20th-century mathematics. Eschewing a priori notions, the contributors embrace the diverse interpretations and manifestations of duality, thus presenting a nuanced and comprehensive perspective on this intricate subject. Spanning a broad spectrum of mathematical topics and historical periods, the book uses detailed case studies to investigate the different forms in which duality appeared and still appears in mathematics, to study their respective histories, and to analyze interactions between the different forms of duality. The chapters inquire into questions such as the contextual occurrences of duality in mathematics, the influence of chosen forms of representation, the impact of investigations of duality on mathematical practices, and the historical interconnections among various instances of duality. Together, they aim to answer a core question: Is there such a thing as duality in mathematics, or are there just several things called by the same name and similar in some respect? What emerges is that duality can be considered as a basic structure of mathematical thinking, thereby opening new horizons for the research on the history and the philosophy of mathematics and the reflection on mathematics in general. The volume will appeal not only to experts in the discipline but also to advanced students of mathematics, history, and philosophy intrigued by the complexities of this captivating subject matter.


Dualities and Representations of Lie Superalgebras

Dualities and Representations of Lie Superalgebras

Author: Shun-Jen Cheng

Publisher: American Mathematical Soc.

Published: 2012

Total Pages: 323

ISBN-13: 0821891189

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This book gives a systematic account of the structure and representation theory of finite-dimensional complex Lie superalgebras of classical type and serves as a good introduction to representation theory of Lie superalgebras. Several folklore results are rigorously proved (and occasionally corrected in detail), sometimes with new proofs. Three important dualities are presented in the book, with the unifying theme of determining irreducible characters of Lie superalgebras. In order of increasing sophistication, they are Schur duality, Howe duality, and super duality. The combinatorics of symmetric functions is developed as needed in connections to Harish-Chandra homomorphism as well as irreducible characters for Lie superalgebras. Schur-Sergeev duality for the queer Lie superalgebra is presented from scratch with complete detail. Howe duality for Lie superalgebras is presented in book form for the first time. Super duality is a new approach developed in the past few years toward understanding the Bernstein-Gelfand-Gelfand category of modules for classical Lie superalgebras. Super duality relates the representation theory of classical Lie superalgebras directly to the representation theory of classical Lie algebras and thus gives a solution to the irreducible character problem of Lie superalgebras via the Kazhdan-Lusztig polynomials of classical Lie algebras.


The Universal Duality

The Universal Duality

Author: Vishnu Raj Thannickal

Publisher: Vishnu Raj

Published:

Total Pages: 74

ISBN-13:

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Discover the profound wisdom of balance and harmony in "The Universal Duality: Exploring the Balance of Life." This insightful book takes you on a journey through the concept of duality—a principle that everything in life has two sides, two forces in constant interplay. From the natural world to human actions, ethics, and personal growth, this book explores how opposites coexist and shape our experiences.


Duality Theories for Boolean Algebras with Operators

Duality Theories for Boolean Algebras with Operators

Author: Steven Givant

Publisher: Springer

Published: 2014-07-18

Total Pages: 246

ISBN-13: 3319067435

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In this new text, Steven Givant—the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski—develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as a hybrid of the first two. This text will be of interest to graduate students and researchers in the fields of mathematics, computer science, logic, and philosophy who are interested in exploring special or general classes of Boolean algebras with operators. Readers should be familiar with the basic arithmetic and theory of Boolean algebras, as well as the fundamentals of point-set topology.


Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

Author: Jan Zaanen

Publisher: Cambridge University Press

Published: 2015-11-05

Total Pages: 587

ISBN-13: 1107080088

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A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.


Handbook of Organizational Change and Innovation

Handbook of Organizational Change and Innovation

Author: Marshall Scott Poole

Publisher: Oxford University Press

Published: 2004-08-26

Total Pages: 446

ISBN-13: 0199727562

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In a world of organizations that are in constant change scholars have long sought to understand and explain how they change. This book introduces research methods that are specifically designed to support the development and evaluation of organizational process theories. The authors are a group of highly regarded experts who have been doing collaborative research on change and development for many years.


Sustainable Human Resource Management

Sustainable Human Resource Management

Author: Ina Ehnert

Publisher: Springer Science & Business Media

Published: 2009-07-07

Total Pages: 306

ISBN-13: 3790821888

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Predictions are that sustainability becomes the next big topic for Human Resource Management after internationalization and globalization. This book gives new answers to these questions: - How can HRM contribute to attracting, developing and retaining highly qualified human resources over time? - How can a paradox perspective contribute to understanding and coping with paradoxical tensions? - How can sustainability be used as a ‘deliberate strategy’ for HRM? The conceptual part of the book looks at the notion of sustainability, opens it up for Strategic HRM and identifies blind spots in Strategic HRM theory. Paradox theory is introduced as an analytical framework for Sustainable HRM. Initial suggestions are made for sustainability strategies and for coping with paradoxes and tensions. The exploratory part examines how 50 European Multinationals communicate their understanding of sustainability and HRM and which HR issues and practices they are linking to the topic.