Set Theory and Logic


Shorter Refutation of Craig’s Interpolation and Derived Conjectures

Authors: Colin James III

We evaluate the formula for Craig’s interpolation as not tautologous. This means it is refuted, along with nine conjectures in the following cascade: proving Beth definability; verifying the division of larger problems into smaller problems; representing knowledge by suppression of information; proving intuitionistic and bi-intuitionistic logics, converse modality, tense logic, and extensions with path axioms; and ; and an orthogonality condition for defining duality between interpolates. These results form a non tautologous fragment of the universal logic VŁ4.

Comments: 2 Pages. © Copyright 2019 by Colin James III All rights reserved. Note that Disqus comments here are not read by the author; reply by email only to: info@cec-services dot com. Include a list publications for veracity. Updated abstract at

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[v1] 2019-10-14 07:57:16

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