Paraconsistent logic gained traction as a tool to address philosophical problems like paradoxes, inconsistent theories, and reasoning about contradictory information.
Formalization: While Aristotelian logic was implicitly paraconsistent, modern paraconsistent logics provide formal systems with precise semantics and proof theories. This allows for rigorous study and application.
Contrast with classical logic: The development of classical logic in the late 19th/early 20th century, with its principle of explosion, created a stark contrast that highlighted paraconsistent approaches.
Philosophical motivations: Paraconsistent logic gained traction as a tool to address philosophical problems like paradoxes, inconsistent theories, and reasoning about contradictory information.
Dialetheism: The combination of paraconsistency with the rejection of the law of non-contradiction (dialetheism) is particularly novel and controversial.
Technical developments: Modern paraconsistent logics have introduced sophisticated formal techniques and semantics beyond just rejecting explosion.
Applications: Paraconsistent logic has found applications in computer science, artificial intelligence, and formal reasoning about inconsistent information.
-Logical pluralism: The rise of paraconsistent logic contributes to broader debates about logical pluralism and the nature of logical consequence.
-Cross-cultural philosophy: As mentioned in one response, increased interest in non-Western philosophical traditions (like some interpretations of Buddhist logic) has drawn attention to paraconsistent approaches.
So while you're right that paraconsistency itself isn't entirely new, its formal development, philosophical motivations, and range of applications in the modern context have made it a significant area of logical and philosophical research in recent decades.
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