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.

Approaches to Legal Rationality explores the most pertinent approaches to rationality in a legal context, and grapples with the relationship between logic and law. More than a collection of papers, the text includes chapters written from both analytical and continental philosophical perspectives.

This book regards Dung's abstract argumentation frames as a general network, comparable to other networks such as general logics neural-nets, ecology nets, electrical networks, flow networks and so on. As such the book imports general meta-logical methods and applies them to argumentation and exports ideas from argumentation to general logics and networks. Among the topics discussed are Connection with modal logic Connections with the Peirce-Quine dagger connective Combining and merging networks Bipolar networks Numerical and weighted argumentation networks The equational approach to networks...

This text centers around three main subjects. The first is the concept of modularity and independence in classical logic and nonmonotonic and other nonclassical logic, and the consequences on syntactic and semantical interpolation and language change. In particular, we will show the connection between interpolation for nonmonotonic logic and manipulation of an abstract notion of size. Modularity is essentially the ability to put partial results achieved independently together for a global result. The second aspect of the book is the authors' uniform picture of conditionals, including...