Bøger af Karl Schlechta

We look at problems of truth and knowledge from various angles. Insufficient information may prevent the direct use of certain operations, as the use of probability in legal reasoning, so we have to take detours. We may have only contradictory information from different sources, and will use and adjust past reliability of the sources to evaluate the information.Conjectures about homogenousness of the domain may also help.On a more formal level, we extend the formal semantics of counterfactual conditionals to analogical reasoning, and examine Yablo's Paradox using various concepts and examples.

This book covers modularity and independence in classical and nonclassical logic, including many-valued logics and structures, plus neighbourhood semantics and their connection to independence, as well as their common points and differences for various logics.

This book covers general logical tools for handling change. The tools are preferential reasoning, theory revision and reasoning in inheritance systems. Logics examined are nonmonotonic, deontic, modal, intuitionistic and temporal as well as counterfactuals.

The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions. In this Vol. I the author explains preferential structures and abstract size. In the associated Vol. II he presents chapters on theory revision and sums, defeasible inheritance theory, interpolation, neighbourhood semantics and deontic logic, abstract independence, and various aspects of nonmonotonic and other logics.In both volumes the text contains many exercises and some solutions, and the author limits the discussion of motivation and general context throughout, offering this only when it aids understanding of the formal material, in particular to illustrate the path from intuition to formalisation. Together these books are a suitable compendium for graduate students and researchers in the area of computer science and mathematical logic.

The two volumes in this advanced textbook present results, proof methods, and translations of motivational and philosophical considerations to formal constructions. In the associated Vol. I the author explains preferential structures and abstract size. In this Vol. II he presents chapters on theory revision and sums, defeasible inheritance theory, interpolation, neighbourhood semantics and deontic logic, abstract independence, and various aspects of nonmonotonic and other logics.In both volumes the text contains many exercises and some solutions, and the author limits the discussion of motivation and general context throughout, offering this only when it aids understanding of the formal material, in particular to illustrate the path from intuition to formalisation. Together these books are a suitable compendium for graduate students and researchers in the area of computer science and mathematical logic.