This book is of high topicality, due to the widespread use of informatics in hardly formalized disciplines such as sociology, life sciences etc., in which problem solving requires special tools of formal inference and plausible reasoning. The book describes the theory, methodology and algorithmization of a new approach, and some of its applications realized in the form of intelligent systems, e.g. for sociology, life sciences, etc.The main subject developed in the book is cognitive reasoning integrating three types of inference: context dependent induction, causal analogy and a new formalization of abduction. Many valued logics in particular with constructive generation of truth values provide efficient tools to handle uncertainty similarly to fuzzy logic. A method of automatic iterative hypothesis generation is proposed by the use of cognitive reasoning.
Conceptual Theory of Cognitive Reasoning.- Introductory Explanation.- Basic System of Concepts.- Constructing a Model of a Cognizing Agent.- Cognitive Reasoning Framework.- Logic Foundation.- Introductory Explanation.- Propositional Logic.- First-Order Logics.- Formal CR Framework.- Introductory Explanation.- Modification Calculi.- Derivability in Modification Calculi and L1.- Semantics.- Iterative Representation of Structure Generators.- Modification Theories.- Conformability.- Handling Complex Structures.- Introductory Explanation.- Set-Admitting Structures.- Set Sorts in Modification Calculi.- Perfect Modification Calculi (PMC).- JSM Theories.- Introductory Explanation.- Simple JSM Theories.- Advanced JSM Theories.- Similarity Representation.- JSM Theories for Complex Structures.- Looking Back and Ahead.- Introductory Overview.- Towards the Realisation.- CR Framework.- Open Problems.- Philosophical–Methodological Implications of the Proposed CR Framework.