The Theory Of The Knowledge Square The Fuzzy Rational Foundations Of The Knowledge Production Systems
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The Theory of the Knowledge Square: The Fuzzy Rational Foundations of the Knowledge-Production Systems
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.
Theories of Knowing and Knowledge Production
Author: Kofi Kissi Dompere
language: en
Publisher: Springer Nature
Release Date: 2024-09-26
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 Info-Dynamics: Rational Foundations of Information-Knowledge Dynamics
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.