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Philosophy

Non-Classical Negation and the Philosophy of Logical Pluralism

Quick fact

Classical negation obeys the law of excluded middle, but non-classical negations reject it, allowing statements to be neither true nor false or both true and false. Logical pluralism argues that no single logic—and hence no single negation—is the 'right' one for all reasoning.

Why this is interesting

You probably think 'not' is simple: if a statement is true, its negation is false. But what if logic isn't that black-and-white?