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.

This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.

In the Theory of Philosophical Consciencism, Professor Dompere establishes how Nkrumah used the theory of categorial conversion housing the necessary conditions of transformation to design strategies for creating the sufficient conditions for socio-political transformations. The theory of Philosophical Consciencism is about the institutionally destruction-creation process for socio-political transformation. The theory shows the scientific contributions of Nkrumah's thinking to the solution of the transformation problem in science and its application to social systemicity, where Nkrumah's analytical weapons were drawn from African conceptual system. The theory is developed as logico-mathematical foundations that guide the internal management of the command-control decision-choice systems for creative destruction of socio-political varieties in transformations through the development of qualitative mathematics making possible the construct of qualitative equations of motion for connecting varieties in qualitative transfers. The qualitative equations of motion through the Philosophical Consciencism constitute the sufficient conditions for transformations. The theory links rationality, intentionality, experiential information structure, defective-deceptive information structures in the control-dynamic games of power and dominance by the duals and poles under the principle of opposites with relational continua and unity relative to decision-choice systems that induce negation-negation transformations, where paths are established by the history of success-failure outcomes in the socially control-dynamic zero-sum games between the duals in any duality and between the poles of any actual-potential polarity. The main premise of the monograph is that there exists a set of sufficient conditions in support of the necessary conditions for internal transformation of socio-natural varieties. The theory is useful in understanding developmental processes and multi-polar-power zero-sum games for global dominance. The necessary conditions constitute the natural necessity that constrains cognitive freedom. The sufficient conditions constitute cognitive freedom that must overcome the necessity in socio-natural systems dynamics. Had this conceptual system been familiar to African leaders, the African transformation from colonialism to complete emancipation, rather than neocolonialism, would have been increasingly successful. This holds for those seeking triumph over injustices, oppression, imperialism and social change in all systems.

This book focuses on the development of a theory of info-dynamics to support the theory of info-statics in the general theory of information. It establishes the rational foundations of information dynamics and how these foundations relate to the general socio-natural dynamics from the primary to the derived categories in the universal existence and from the potential to the actual in the ontological space. It also shows how these foundations relate to the general socio-natural dynamics from the potential to the possible to give rise to the possibility space with possibilistic thinking; from the possible to the probable to give rise to possibility space with probabilistic thinking; and from the probable to the actual to give rise to the space of knowledge with paradigms of thought in the epistemological space. The theory is developed to explain the general dynamics through various transformations in quality-quantity space in relation to the nature of information flows at each variety transformation. The theory explains the past-present-future connectivity of the evolving information structure in a manner that illuminates the transformation problem and its solution in the never-ending information production within matter-energy space under socio-natural technologies to connect the theory of info-statics, which in turn presents explanations to the transformation problem and its solution. The theoretical framework is developed with analytical tools based on the principle of opposites, systems of actual-potential polarities, negative-positive dualities under different time-structures with the use of category theory, fuzzy paradigm of thought and game theory in the fuzzy-stochastic cost-benefit space. The rational foundations are enhanced with categorial analytics. The value of the theory of info-dynamics is demonstrated in the explanatory and prescriptive structures of the transformations of varieties and categorial varieties at each point of time and over time from parent–offspring sequences. It constitutes a general explanation of dynamics of information-knowledge production through info-processes and info-processors induced by a socio-natural infinite set of technologies in the construction–destruction space.

In the Theory of Philosophical Consciencism, Professor Dompere establishes how Nkrumah used the theory of categorical conversion housing the necessary conditions of transformation to design strategies for creating the sufficient conditions for socio-political transformations. The theory of Philosophical Consciencism is about the institutionally destruction-creation process for socio-political transformation. The theory shows the scientific contributions of Nkrumah's thinking to the solution of the transformation problem in science and its application to social systemicity, where Nkrumah's analytical weapons were drawn from African conceptual system. The theory is developed as logico-mathematical foundations that guide the internal management of the command-control decision-choice systems for creative destruction of socio-political varieties in transformations through the development of qualitative mathematics making possible the construct of qualitative equations of motion for connecting varieties in qualitative transfers. The qualitative equations of motion through the Philosophical Consciencism constitute the sufficient conditions for transformations. The theory links rationality, intentionality, experiential information structure, defective-deceptive information structures in the control-dynamic games of power and dominance by the duals and poles under the principle of opposites with relational continua and unity relative to decision-choice systems that induce negation-negation transformations, where paths are established by the history of success-failure outcomes in the socially control-dynamic zero-sum games between the duals in any duality and between the poles of any actual-potential polarity. The main premise of the monograph is that there exists a set of sufficient conditions in support of the necessary conditions for internal transformation of socio-natural varieties. The theory is useful in understanding developmental processes and multi-polar-power zero-sum games for global dominance. The necessary conditions constitute the natural necessity that constrains cognitive freedom. The sufficient conditions constitute cognitive freedom that must overcome the necessity in socio-natural systems dynamics. Had this conceptual system been familiar to African leaders, the African transformation from colonialism to complete emancipation, rather than neocolonialism, would have been increasingly successful. This holds for those seeking triumph over injustices, oppression, imperialism and social change in all systems.

The Theory of Categorial Conversion is advanced by Professor Kofi Kissi Dompere as mathematical-philosophical and game-theoretic foundations to solve the problem of socio-natural transformation as governed by some internal process in relation to Marx, Schumpeter and Nkrumah. Dompere's methodology is based on the Africentric principles of opposites made up of actual-potential polarity, negative-positive duality with relational continuum and unity under cost-benefit rationality and Asantrofi-Anoma principle supported by fuzzy paradigm of thought. Socio-natural transformations are seen in terms of game theories in a fuzzy-stochastic space admitting of defective-deceptive information structures in quality-quantity space within the subjective-objective duality. The main premise of the monograph is that there exists a set of necessary and sufficient conditions for internal self-transformation. The necessary conditions are made up of categorial moments and categorial transfer functions forming the domain of control instrumentation in creating the sufficient conditions for categorial-conversion processes. Dompere presents an important methodological framework for the study and construction of the theories of socioeconomic development and political change, as well as info-dynamics connecting knowledge, sciences, innovation and engineering to the space of knowing, under qualitative-quantitative transformational dynamics with defective-deceptive information structures in the games for power and dominance by duals and poles in conflicts. The necessary conditions of socio-natural transformation are internally derived based on the relational structure of matter-energy-information activities within the dynamics of qualitative dispositions of dualities of actual-potential polarities. The theory consists of category formation showing ontological-epistemological categories, and categorial dynamics shows elemental conversions of categorial varieties in a continuum. The logical tools and the paradigm of thought for the theoretical development of Nkrumah's framework involve self-excitement, self-correction and self-control systems induced by internal contradictions. The set of necessary conditions constitutes the natural necessity that constrains cognitive freedom in socio-natural transformations. Had this conceptual system been familiar to economists and social scientists, the construct of the theories of socioeconomic development and transformations would have been increasingly successful.

Complementarity, duality, and symmetry are closely related concepts, and have always been a rich source of inspiration in human understanding through the centuries, particularly in mathematics and science. The Proceedings of IUTAM Symposium on Complementarity, Duality, and Symmetry in Nonlinear Mechanics brings together some of world's leading researchers in both mathematics and mechanics to provide an interdisciplinary but engineering flavoured exploration of the field's foundation and state of the art developments. Topics addressed in this book deal with fundamental theory, methods, and applications of complementarity, duality and symmetry in multidisciplinary fields of nonlinear mechanics, including nonconvex and nonsmooth elasticity, dynamics, phase transitions, plastic limit and shakedown analysis of hardening materials and structures, bifurcation analysis, entropy optimization, free boundary value problems, minimax theory, fluid mechanics, periodic soliton resonance, constrained mechanical systems, finite element methods and computational mechanics. A special invited paper presented important research opportunities and challenges of the theoretical and applied mechanics as well as engineering materials in the exciting information age. Audience: This book is addressed to all scientists, physicists, engineers and mathematicians, as well as advanced students (doctoral and post-doctoral level) at universities and in industry.

This book discusses the development of a theory of info-statics as a sub-theory of the general theory of information. It describes the factors required to establish a definition of the concept of information that fixes the applicable boundaries of the phenomenon of information, its linguistic structure and scientific applications. The book establishes the definitional foundations of information and how the concepts of uncertainty, data, fact, evidence and evidential things are sequential derivatives of information as the primary category, which is a property of matter and energy. The sub-definitions are extended to include the concepts of possibility, probability, expectation, anticipation, surprise, discounting, forecasting, prediction and the nature of past-present-future information structures. It shows that the factors required to define the concept of information are those that allow differences and similarities to be established among universal objects over the ontological and epistemological spaces in terms of varieties and identities. These factors are characteristic and signal dispositions on the basis of which general definitional foundations are developed to construct the general information definition (GID). The book then demonstrates that this definition is applicable to all types of information over the ontological and epistemological spaces. It also defines the concepts of uncertainty, data, fact, evidence and knowledge based on the GID. Lastly, it uses set-theoretic analytics to enhance the definitional foundations, and shows the value of the theory of info-statics to establish varieties and categorial varieties at every point of time and thus initializes the construct of the theory of info-dynamics.

This volume contains the refereed proceedings of the special session on Optimization and Nonlinear Analysis held at the Joint American Mathematical Society-Israel Mathematical Union Meeting which took place at the Hebrew University of Jerusalem in May 1995. Most of the papers in this book originated from the lectures delivered at this special session. In addition, some participants who did not present lectures and invited speakers who were unable to attend contributed their work. The fields of optimization theory and nonlinear analysis continue to be very active.This book presents not only the wide spectrum and diversity of the results, but also their manifold connections to other areas, such as differential equations, functional analysis, operator theory, calculus of variations, numerical analysis, and mathematical programming. In reading this book one encounters papers that deal, for example, with convex, quasiconvex and generalized convex functions, fixed and periodic points, fractional-linear transformations, moduli of convexity, monotone operators, Morse lemmas, Navier-Stokes equations, nonexpansive maps, nonsmooth analysis, numerical stability, products of projections, steepest descent, the Leray-Schauder degree, the tumpike property, and variational inequalities.

Building and Sustaining a Coaching Culture is the ideal book for everyone who is passionate about coaching and who has an interest in creating an environment that supports learning and growth. Easy to navigate and logically structured, topics include the current understanding of coaching culture in organisations, coaching and mentoring culture strategy, making effective use of external coaches, formal and informal mentoring, developing and supporting internal coaches and mentors, team coaching, cross-cultural marketing coaching and cross-cultural issues. This edition of Building and Sustaining a Coaching Culture is a fully revised version of the seminal book Making Coaching Work: Creating a Coaching Culture. It analyses what has changed in the field of coaching culture and provides update on new knowledge and experience. A wide variety of international case studies and engaging tools such as chapter overviews, templates, and reflective questions will take you clearly through the development and implementation of a successful and integrated training culture. Whether you are an HR Manager looking to maximise the positive impact of coaching in your organisation, a business leader wanting to facilitate growth, or a consultant or coach seeking to place your work in the relevant organisational context, you will be shown how to implement an effective coaching and mentoring strategy that meets your needs.

The monograph is about a meta-theory of knowledge-production process and the logical pathway that connects the epistemic possibility to the epistemic reality. It examines the general conditions of paradigms for information processing and isolates the classical and fuzzy paradigms for comparative analysis. The sets of conditions that give rise to them are defined, stated and analyzed to abstract the corresponding sets of laws of thought. The fuzzy paradigm with its corresponding logic and mathematics is related to inexact symbolism for the defective information structure where the results of the knowledge production must satisfy the epistemic conditionality, composed of fuzzy conditionality and fuzzy-stochastic conditionality under the principle of logical duality with continuum. The classical paradigm with its corresponding logic and mathematics is related to exact symbolism for exact information structure where the vagueness component of the defectiveness is assumed away, and where the results of the knowledge production must satisfy no epistemic conditionality or at the maximum only the stochastic conditionality under the principle of logical dualism with excluded middle. It is argued that the epistemic path that links ontological space to the epistemological space is information. The ontological space is taken as the primary category of reality while the epistemological space is shone to be a derivative. Such information is universally defective and together with assumptions imposed guides the development of paradigms with their laws of thought, logic of reasoning, mathematics and computational techniques. The relational structure is seen in terms of logical trinity with a given example as matter-information-energy transformational trinity which is supported by the time trinity of past-present-future relationality. The book is written for professionals, researchers and students working in philosophy of science, decision-choice theories, economies, sciences, computer science, engineering, cognitive psychology and researchers working on, or interested in fuzzy paradigm, fuzzy logic, fuzzy decisions, and phenomena of vagueness and ambiguities, fuzzy mathematics, fuzzy-stochastic processes and theory of knowledge. It is further aimed at research institutions and libraries. The subject matter belongs to extensive research and development taking place on fuzzy phenomena and the debate between the fuzzy paradigm and the classical paradigm relative to informatics, synergetic science and complexity theory. The book will have a global appeal and across disciplines. Its strength, besides the contents, is the special effort that is undertaken to make it relevant and accessible to different areas of sciences and knowledge production.

This book is the most comprehensive book on Buddhism and peace to date. It is composed of the thirty-one articles presented at the Seventh International Seminar on Buddhism and Leadership for Peace in 1995. Thirty-one eminent scholars and activists among the more than forty participants examined Buddhism and peace from the varying perspectives of their expertise. Many of these writers have since received international acclaim as leaders in the struggle for peace and justice.