Set Theory and Logic


Refutation of Kripke Frames from Incompleteness of BAO’s with ◊⊥=⊥

Authors: Colin James III

Because Kripke frames require ◊⊥=⊥, not tautologous, they are refuted. What follows is BAOs so defined are also refuted (which we respectively demonstrate elsewhere), namely: Jónsson-Tarski, Lemmon-Scott; Fine-Thomason, van Benthem, Boolos-Sambin, and Lindenbaum-Tarski. These results also make the Blok dichotomy suspicious. Therefore these conjectures form a non tautologous fragment of the universal logic VŁ4.

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] 2019-06-24 07:49:30

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