Theory of Categorial Conversion

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Author :
Publisher : Adonis & Abbey Publishers Ltd
ISBN 13 : 1912234955
Total Pages : 407 pages
Book Rating : 4.9/5 (122 download)

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Book Synopsis Theory of Categorial Conversion by : Kofi Kissi Dompere

Download or read book Theory of Categorial Conversion written by Kofi Kissi Dompere and published by Adonis & Abbey Publishers Ltd. This book was released on 2017-02-16 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of Categorial Conversion

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Author :
Publisher : Adonis and Abbey Publishers
ISBN 13 : 1909112674
Total Pages : 409 pages
Book Rating : 4.9/5 (91 download)

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Book Synopsis The Theory of Categorial Conversion by : Dompere, Kofi Kissi

Download or read book The Theory of Categorial Conversion written by Dompere, Kofi Kissi and published by Adonis and Abbey Publishers. This book was released on 2017-09-17 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Philosophical Consciencism

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Author :
Publisher : Adonis and Abbey Publishers
ISBN 13 : 1909112666
Total Pages : 462 pages
Book Rating : 4.9/5 (91 download)

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Book Synopsis Theory of Philosophical Consciencism by : Dompere, Kofi Kissi

Download or read book Theory of Philosophical Consciencism written by Dompere, Kofi Kissi and published by Adonis and Abbey Publishers. This book was released on 2017-09-24 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Problem-Solution Dualities and Polarities

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Author :
Publisher : Springer Nature
ISBN 13 : 303090279X
Total Pages : 333 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis The Theory of Problem-Solution Dualities and Polarities by : Kofi Kissi Dompere

Download or read book The Theory of Problem-Solution Dualities and Polarities written by Kofi Kissi Dompere and published by Springer Nature. This book was released on 2022-04-25 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Springer
ISBN 13 : 331963853X
Total Pages : 192 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Theory of Info-Dynamics: Rational Foundations of Information-Knowledge Dynamics by : Kofi K. Dompere

Download or read book The Theory of Info-Dynamics: Rational Foundations of Information-Knowledge Dynamics written by Kofi K. Dompere and published by Springer. This book was released on 2017-12-06 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Organization Paremiology

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Author :
Publisher : Adonis & Abbey Publishers Ltd
ISBN 13 : 191223498X
Total Pages : 460 pages
Book Rating : 4.9/5 (122 download)

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Book Synopsis Organization Paremiology by : Kofi Kissi Dompere

Download or read book Organization Paremiology written by Kofi Kissi Dompere and published by Adonis & Abbey Publishers Ltd. This book was released on 2017-02-17 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Info-Statics: Conceptual Foundations of Information and Knowledge

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Author :
Publisher : Springer
ISBN 13 : 3319616390
Total Pages : 197 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis The Theory of Info-Statics: Conceptual Foundations of Information and Knowledge by : Kofi K. Dompere

Download or read book The Theory of Info-Statics: Conceptual Foundations of Information and Knowledge written by Kofi K. Dompere and published by Springer. This book was released on 2017-07-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems

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Publisher : Springer
ISBN 13 : 3642311199
Total Pages : 212 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems by : Kofi Kissi Dompere

Download or read book The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems written by Kofi Kissi Dompere and published by Springer. This book was released on 2012-08-28 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Disentangling Consciencism

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Author :
Publisher : Lexington Books
ISBN 13 : 149851152X
Total Pages : 375 pages
Book Rating : 4.4/5 (985 download)

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Book Synopsis Disentangling Consciencism by : Martin Odei Ajei

Download or read book Disentangling Consciencism written by Martin Odei Ajei and published by Lexington Books. This book was released on 2016-12-06 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kwame Nkrumah is globally recognized as a foremost pan-Africanist strategist and statesman. He is less widely acknowledged as a philosopher, in spite of his considerable philosophical training, seminal contribution to African political theory, and incisive critique of the ethics of international relations. Consciencism has the distinctive status of being the only published book that Nkrumah consciously meant to be a work of his philosophy, yet it has failed to attract the focused attention of philosophers. The chapters in Disentangling Consciencism: Essays on Kwame Nkrumah’s Philosophy critically explore the metaphysical, ethical and political thought expressed in Consciencism. In doing so, they broaden our understanding of his philosophical ideas and their relevance for effective African contribution to thought in a contemporary world in which Africa increasingly totters on the margins of international affairs. In much of current moral and political thinking, there is a tendency to universalize liberal values and neglect non-Western philosophical perspectives. At the same time, global normative thinking is overwhelmingly applied in non-Western contexts. Writing from across three continents, the contributors to this volume establish greater intellectual connection among African, Asian and Western academics, and their chapters offer explicit perspectives on the value of Nkrumah’s philosophy, and on the conceptual basis of early post-colonial public policy options in Africa. A valuable appendix provides the text of speeches delivered at the 1964 launch of Consciencism. With insights into numerous dimensions of Nkrumah’s philosophy, this volume will be of particular interest to students and scholars of philosophy—especially of non-Western metaphysical, moral and political thought—and to anyone working in the history of African political theory.

African Intellectual Heritage

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Publisher : Temple University Press
ISBN 13 : 9781566394031
Total Pages : 852 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis African Intellectual Heritage by : Abu Shardow Abarry

Download or read book African Intellectual Heritage written by Abu Shardow Abarry and published by Temple University Press. This book was released on 1996 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized by major themes—such as creation stories, and resistance to oppression—this collection gather works of imagination, politics and history, religion, and culture from many societies and across recorded time. Asante and Abarry marshal together ancient, anonymous writers whose texts were originally written on stone and papyri and the well-known public figures of more recent times whose spoken and written words have shaped the intellectual history of the diaspora. Within this remarkably wide-ranging volume are such sources as prayers and praise songs from ancient Kemet and Ethiopia along with African American spirituals; political commentary from C.L.R. James, Malcolm X, Mary McLeod Bethune, and Joseph Nyerere; stirring calls for social justice from David Walker, Abdias Nacimento, Franzo Fanon, and Martin Luther King, Jr. Featuring newly translated texts and ocuments published for the first time, the volume also includes an African chronology, a glossary, and an extensive bibliography. With this landmark book, Asante and Abarry offer a major contribution to the ongoing debates on defining the African canon. Author note:Molefi Kete Asanteis Professor and Chair of African American Studies at Temple University and author of several books, includingThe Afrocentric Idea(Temple) andThe Historical and Cultural Atlas of African Americans.Abu S. Abarryis Assistant Chair of African American Studies at Temple University.

The Works of Thomas Reid

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Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.X/5 (2 download)

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Book Synopsis The Works of Thomas Reid by : Thomas Reid

Download or read book The Works of Thomas Reid written by Thomas Reid and published by . This book was released on 1872 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Epistemics of Development Economics

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Publisher : Praeger
ISBN 13 : 9780313295133
Total Pages : 222 pages
Book Rating : 4.2/5 (951 download)

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Book Synopsis Epistemics of Development Economics by : Kofi Kissi Dompere

Download or read book Epistemics of Development Economics written by Kofi Kissi Dompere and published by Praeger. This book was released on 1995 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effective use of development economic theories in practice is limited, the authors contend, by the lack of explicit criterion for judging their scientific content. The directional progress of critical research and teaching is also constrained by this deficiency. This study advances a meta-theory designed to assist in evaluating the scientific validity of theories in economic development and how these theories can be improved to assist social practice. Using this model, the study then examines existing theories, dividing them into explanatory and prescriptive theories. The explanatory theories include the stage-based theories of Marx, Schumpeter, and Rostow, and factor-based theories, including capital-based, human-capital-based, and technology-based theories. The prescriptive theories include explanatory-theory-based prescriptions, interventionist prescriptive theories, and theories of economic planning. In conclusion, the authors contend that modern analysis of development economics is plagued with logical ills, misleading notions, and a weak theoretical structure that lacks scientific appeal. Most of the theories, except for those of Marx and Schumpeter, neglect an analysis of the mechanism of change.

Works

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Publisher :
ISBN 13 :
Total Pages : 548 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Works by : Thomas Reid

Download or read book Works written by Thomas Reid and published by . This book was released on 1895 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters Preface, Notes and Supplementary Dissertations, by William Hamilton

Download The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters Preface, Notes and Supplementary Dissertations, by William Hamilton PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters Preface, Notes and Supplementary Dissertations, by William Hamilton by :

Download or read book The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters Preface, Notes and Supplementary Dissertations, by William Hamilton written by and published by . This book was released on 1872 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters

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Publisher :
ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.B/5 (1 download)

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Book Synopsis The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters by : Thomas Reid

Download or read book The Works of Thomas Reid Now Fully Collected, with Selections from His Unpublished Letters written by Thomas Reid and published by . This book was released on 1872 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Categorical Type Theory

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Publisher :
ISBN 13 : 9789090043364
Total Pages : 131 pages
Book Rating : 4.0/5 (433 download)

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Book Synopsis Categorical Type Theory by : Bartholomeus Paulus Franciscus Jacobs

Download or read book Categorical Type Theory written by Bartholomeus Paulus Franciscus Jacobs and published by . This book was released on 1991 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Categorical Homotopy Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139952633
Total Pages : 371 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Categorical Homotopy Theory by : Emily Riehl

Download or read book Categorical Homotopy Theory written by Emily Riehl and published by Cambridge University Press. This book was released on 2014-05-26 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.