Non-classical logic

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What Wikipedia says

Non-classical logics (sometimes alternative logics) are formal systems that differ in a significant way from standard logical systems such as propositional and predicate logic. There are several ways in which this is commonly the case, including by way of extensions, deviations, and variations.

Excerpt from the Wikipedia article “Non-classical logic”, under the CC BY-SA 4.0 license. Read the article on Wikipedia