This paper is an attempt to solve the following problem: given a logic, how to turn it into a paraconsistent one? In other words, given a logic in which ex falso quodlibet holds, how to convert it into a logic not satisfying this principle? We use a framework provided by category theory in order to define a category of consequence structures. Then, we propose a functor to transform a logic not able to deal with contradictions into a paraconsistent one. Moreover, (...) we study the case of paraconsistentization of propositional classical logic. (shrink)

Some strategies to turn any logic into a paraconsistent system are examined. In the environment of universal logic, we show how to paraconsistentize logics at the abstract level using a transformation in the class of all abstract logics called paraconsistentization by consistent sets. Moreover, by means of the notions of paradeduction and paraconsequence we go on applying the process of changing a logic converting it into a paraconsistent system. We also examine how this transformation can be performed using multideductive abstract (...) logics. To conclude, the conceptual notion paraconsistent orbit of a logic is proposed. (shrink)

This paper analyzes the problem of implication and attempts to characterize conditionals by a criterion of adequacy. A definition of implication based on the notion of limit of an infinite sequence is proposed.

Departing from basic concepts in abstract logics, this paper introduces two concepts: conjunctive and disjunctive limits. These notions are used to formalize levels of modal operators.

We present a kind of logic named multideductive logic and outline an application of it in the problem of theoretic-formal unification of physical theories dealing with the Bohr atom theory. This is just a preliminary study that will be developed in future papers.

This paper shows how to transform explosive many-valued systems into paraconsistent logics. We investigate mainly the case of three-valued systems exhibiting how non-explosive three-valued logics can be obtained from them.

We present a kind of logic named multideductive logic and outline an application of it in the problem of theoretic-formal unification of physical theories dealing with the Bohr atom theory. This is just a preliminary study that will be developed in future papers.