In the article exploring a new way to solve paradoxes, some examples, such as the liar paradox, were shown to be a result of statements being necessarily either true or false. The idea of dialetheism was introduced, where a statement may be both true and false at the same time, though it was shown that this can also lead to paradoxes. But the article seemed to be based on a binary logic where everything is true or false (or maybe both).
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