Set Theory and Logic


Square of Opposition as Meth8 Corrected

Authors: Colin James III

The modern revision of the square of opposition is not tautologous and forms a non tautologous fragment of the universal logic VŁ4. Consequently we redefine the square so that it is validated as tautologous. Instead of definientia using implication for universal terms or conjunction for existential terms, we adopt the equivalent connective for all terms. The modal modifiers necessity and possibility map quantifiers as applying to the entire terms rather than to the antecedent within the terms.

Comments: 2 Pages. Copyright 2019 by Colin James III All rights reserved. Respond to author by email only: info@cec-services dot com. See updated abstract at

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[v1] 2019-09-11 11:50:18

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