SKU/Artículo: AMZ-B0FCNLKRGG

Three-valued logics with infinitely many extensions

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Paperback

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  • Here, we study a family of three-valued logics. We prove that any of them has a strictly increasing countable chain of finitary extensions, in which case its join is beyond it, and so is not finitely axiomatizable. In contrast to this, we show that any finitely-valued logic has just finitely many axiomatic extensions. Likewise, any two-valued logic /``with theorems'' is proved to have no proper consistent axiomatic/ extension.
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