What is Universal Logic?

• In the same way that universal algebra is a general theory of algebraic structures, universal logic is a general theory of logical structures. During the 20th century, numerous logics have been created: intuitionistic logic, modal logic, many-valued logic, relevant logic, paraconsistent logic, non monotonic logic, etc. Universal logic is not a new logic, it is a way of unifying this multiplicity of logics by developing general tools and concepts that can be applied to all logics.

• One aim of universal logic is to determine the domain of validity of such and such metatheorem (e.g. the completeness theorem) and to give general formulations of metatheorems. This is very useful for applications and helps to make the distinction between what is really essential to a particular logic and what is not, and thus gives a better understanding of this particular logic. Universal logic can also be seen as a toolkit for producing a specific logic required for a given situation, e.g. a paraconsistent deontic temporal logic.

Universal logic helps to clarify basic concepts explaining what is an extension and what is a deviation of a given logic, what does it mean for a logic to be equivalent or translatable into another one. It allows to give precise definitions of notions often discussed by philosophers: truth-functionality, extensionality, logical form, etc.

Aim of the Congress

This is the second edition of a congress dedicated to universal logic. Many conferences are   organized on specific techniques (combination of logics, labelled deductive systems, tableaux, etc.) or on some specific classes of logics (nonmonotonic logics, many-valued logics, paraconsistent logics, etc.). The idea of this event is to put together these various activities in order to promote interaction and to provide access of these different fields to the non specialist.

• The essence and universal features of logic will be discussed. Research on the ways of unifying all the existing and possible logics will be carried on. The exchange of the logic thought between the west and the east is considered as fundamental to deepen the understanding and development of universal logic.
This congress will take place just after the International Congress of Logic, Methodology and Philosophy of Science which will happen in Beijing from August 9 to August 15. This is the 13th in a series of big meetings known as LMPS  originated by Alfred Tarski in 1960, and the first time that it is organized in East Asia, a symbol also in the development of a logical connection between the East and the West.

This event is intended to be a major event in logic, providing a platform for future research guidelines. Such an event is of interest for all people dealing with logic in one way or another: pure logicians, mathematicians, computer scientists, AI researchers, linguists, psychologists, philosophers, etc.