Set Theory and Logic


Square of Opposition Meth8 Corrected © 2016 by Colin James III All Rights Reserved.

Authors: Colin James III

The modern revision of the square of opposition is not validated as tautologous by the Meth8 logic model checker, as based on system variant VŁ4. Consequently we redefine the square so that it is validated as true my Meth8. 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. We note the validating connectives for the edges on the square are: \ Nand for the Contraries and Contradictories; > Imply for the Subalterns; and + Or for the Subcontraries.

Comments: 2 Pages. © 2016 by Colin James III All rights reserved.

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[v1] 2017-11-12 12:09:05

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