Set Theory and Logic


Refutation of Translation of Implicit Logic (Il) to Explicit Logic (El)

Authors: Colin James III

For translation of implicit logic to explicit logic, using intuitionistic and epistemic logic, seven equations are evaluated, with none tautologous. Two refute the recursive translation of “the intuitionistic truth definition into a syntactic recipe”; three refute “key features of intuitionistic logic in modal terms”; and one refutes “the recursion law after knowledge update [as] the basic dynamic equation of hard information” for public announcement logic (PAL). These 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] 2019-07-16 05:37:16

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