The Theory Of Problem Solution Dualities And Polarities
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The Theory Of Problem Solution Dualities And Polarities
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Author : Kofi Kissi Dompere
language : en
Publisher: Springer Nature
Release Date : 2022-04-25
The Theory Of Problem Solution Dualities And Polarities written by Kofi Kissi Dompere and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-25 with Technology & Engineering categories.
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.
Theories Of Knowing And Knowledge Production
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Author : Kofi Kissi Dompere
language : en
Publisher: Springer Nature
Release Date : 2024-09-26
Theories Of Knowing And Knowledge Production written by Kofi Kissi Dompere and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-26 with Technology & Engineering categories.
The book is devoted to exploring the organizational dimensions of the general space of problem-solution dualities within epistemic fields to examine the diversity and unity of knowing and information-knowledge production in science and non-science and how to account for and explain the forces of variety transformations, as induced by decision-choice actions in creating the functor space and the space of categorial converters as well as to integrate decision-choice qualities of curiosity, creativity, hope, despair, success, failure, and their relationships with epistemic anomalies in the production of intellectual investment flows and capital stocks, and the rise and fall of institutions in response to the dynamics of the open space of problem-solution dualities with open algorithms under the principle of non-satiation. The conditions and sources of uncertainties in human actions are traced though the space of ontic-epistemic dualities as generated by cognitive capacity limitations leading to the concepts of imagination, possibility, and probability with corresponding worlds and then link to the discussions on thinking-reasoning processes with goals, objectives, and visions of education in social set-ups. The concepts and phenomena of anticipation, necessity, expectation, freedom, anomaly, curiosity, creativity, hope, despair, success, and failure contained in the space of imaginations are defined under the concepts of onticity and epistemicity, where their roles in the dualistic-polar journeys are discussed, analyzed, and connected to epistemic transversality conditions under the principle of opposites relative to the conditions of input-output and cost-benefit dualities. The book is to fill in some of the important phenomena needed in my investigation of theory of knowing as a production of intellectual investment flows and information-knowledge accumulation as the production of intellectual capital stocks relative to the disequilibrium dynamics of human intellectual heritage based on fuzzy paradigm of thought, thus providing an added foundation in integrating subjective elements into the development of open artificial intelligence, where cost-benefit values operate to determine varieties over the spaces of true-false and yes-no dualities in machine learning.
The Theory Of Epistemic Fields
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Author : Kofi Kissi Dompere
language : en
Publisher: Springer Nature
Release Date : 2024-08-13
The Theory Of Epistemic Fields written by Kofi Kissi Dompere and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-13 with Computers categories.
The book is about the development of the theory of epistemic fields with the corresponding relational and information fields as a framework for the understanding of strategies and tactics of the theory of knowing as the production of intellectual investment flows and the theory of knowledge accumulation as the production of intellectual capital stocks in systems of factories and departments providing the foundations for the development of open algorithms in the open space of problem-solution dualities. The concepts and the roles of thinking and reasoning with curiosity, creativity, hope, Ill-posed problems, phantom problems, unsolved problems, misinformation, disinformation, fake news, and courage are introduced, defined, and analyzed on the cognitive journeys over the space of ignorance-knowledge dualities, where dualistic-polar conflicts between duals in the space of ignorance-knowledge dualities are resolved with the instruments of fuzzy optimization, the results of which are used to induced the zones of ignorance, the zones of knowledge, and the zones of contentions. A complete development of the set of connecting paths of spaces and sub-spaces is provided, where all varieties, categories, and spaces reside in dualistic-polar structures with knowledge stock viewed as a single tree with the same roots, one trunk, many branches, and a fruit cocktail. The ontological space contains the space of actual-potential dualities as the primary category of knowing, and the epistemological space contains the space of imagination-reality dualities as the derived category of knowing within the space of primary-derived dualities. The space of potentials contains the space of imaginations which contains the sub-spaces of possibility-impossibility, probability-improbability, and possibility-probability dualities with corresponding spaces of necessity-freedom and anticipation-expectation dualities leading to the conception of the possible-world-impossible-world dualities in the space of semantic-non-semantic dualities. This book is also a continuation of the sequence of my works on the theories of paradigms of thought, rationality, info-statics, info-dynamics, entropy, problem-solution dualities in self-contained mathematics and philosophy, and their relational connectivity to information, language, knowing, knowledge, cognitive practices and open maching learning relative to nominalism, and the space of construction-reduction dualities over the spaces of fundamental-applied, production-consumption, input-output, and cost-benefit dualities.
A General Theory Of Entropy
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Author : Kofi Kissi Dompere
language : en
Publisher: Springer
Release Date : 2019-08-02
A General Theory Of Entropy written by Kofi Kissi Dompere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-02 with Technology & Engineering categories.
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.
Organization Paremiology
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Author : Kofi Kissi Dompere
language : en
Publisher: Adonis & Abbey Publishers Ltd
Release Date : 2017-02-17
Organization Paremiology written by Kofi Kissi Dompere and has been published by Adonis & Abbey Publishers Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-17 with Reference categories.
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.
The Theory Of Problem Solution Dualities And Polarities
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Author : Kofi Kissi Dompere
language : en
Publisher:
Release Date : 2022
The Theory Of Problem Solution Dualities And Polarities written by Kofi Kissi Dompere and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
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.
The Theory Of Info Dynamics Rational Foundations Of Information Knowledge Dynamics
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Author : Kofi K. Dompere
language : en
Publisher: Springer
Release Date : 2017-12-06
The Theory Of Info Dynamics Rational Foundations Of Information Knowledge Dynamics written by Kofi K. Dompere and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-06 with Technology & Engineering categories.
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.
Chasles And The Projective Geometry
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Author : Paolo Bussotti
language : en
Publisher: Springer Nature
Release Date : 2024-07-17
Chasles And The Projective Geometry written by Paolo Bussotti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-17 with Mathematics categories.
This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry. Through an in-depth analysis of Chasles' extensive body of work, the author examines six pivotal arguments which collectively reshape the foundations of geometry. Chasles introduces a novel form of polarity, termed "parabolic," to the graphic context, so expressing the metric properties by means of this specific polarity—a foundational argument. Beyond the celebrated "Chasles theorem," he extends his analysis to the movement of a rigid body, employing concepts derived from projective geometry. This approach is consistently applied across diverse domains. Chasles employs the same methodology to analyze systems of forces. The fourth argument examined by the author concerns the principle of virtual velocities, which can also be addressed through a geometric analysis. In the fifth chapter, Chasles' philosophy of duality is explained. It is grounded on theduality principles of projective geometry. Finally, the author presents Chasles’ synthetic solution for the intricate problem of ellipsoid attraction—the sixth and concluding chapter. Throughout these explorations, Chasles engages in a dynamic scientific dialogue with leading physicists and mathematicians of his era, revealing diverse perspectives and nuances inherent in these discussions. Tailored for historians specializing in mathematics and geometry, this monograph also beckons philosophers of mathematics and science, offering profound insights into the philosophical, epistemological, and methodological dimensions of Chasles' groundbreaking contributions. Providing a comprehensive understanding of Chasles' distinctive perspective on 19th-century geometry, this work stands as a valuable resource for scholars and enthusiasts alike.
Complementarity Duality And Symmetry In Nonlinear Mechanics
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Author : David Yang Gao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-08
Complementarity Duality And Symmetry In Nonlinear Mechanics written by David Yang Gao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-08 with Technology & Engineering categories.
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.
Theory Of Philosophical Consciencism
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Author : Dompere, Kofi Kissi
language : en
Publisher: Adonis and Abbey Publishers
Release Date : 2017-09-24
Theory Of Philosophical Consciencism written by Dompere, Kofi Kissi and has been published by Adonis and Abbey Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-24 with Social Science categories.
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.