Weakened Semantics and the Traditional Square of Opposition
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In this paper we present a proposal that (i) could validate more relations in the square than those allowed by classical logic (ii) without a modification of canonical notation neither of current symbolization of categorical statements though (iii) with a different but reliable semantics.
Mathematics Subject Classification (2000).Primary 0A305 Secondary 03B50, 03B60, 03B80
Keywords.Weakening semantics pseudo-weak logics classical zero- and first-order logic traditional square of opposition
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