Authors: Colin James III
This paper demonstrates why logic system VŁ4 is a universal logic composed of any refutation as a non-tautologous fragment. Recent advances are a definitive answer to criticism of logic Ł4, modal equations for lines and angles of the Square of Opposition, confirmation of the 24-syllogisms by updating Modus Cesare and Camestros, and proving that respective quantified and modal operators are equivalent. The parser Meth8 implements VŁ4 as the modal logic model checker Meth8/VŁ4. Over 430 assertions are tested in 2300 assertions with a refutation rate of 81%.
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