Paraconsistent mathematics is a branch of mathematical logic that deals with systems of reasoning that can tolerate contradictions without descending into triviality. In classical logic, if a contradiction is present, any statement can be proven true, leading to a scenario where the truth becomes meaningless or trivial. However, paraconsistent logic allows for the coexistence of contradictory statements without collapsing into this triviality. In essence, paraconsistent mathematics provides a framework where contradictions can be managed and reasoned about in a controlled manner.
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