Paraconsistent logic is a non-classical logical system that allows for contradictory statements to exist without leading to triviality, meaning that not all statements become true. This logic offers a way to reason in situations where inconsistencies are present, providing valuable tools for addressing classic logical paradoxes, such as the liar paradox and Russell's paradox. By rejecting the principle of explosion, which states that from a contradiction, any statement can be inferred, paraconsistent logic challenges traditional views on consistency in logical reasoning.
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