Set Theory and Logic


Refutation of Prevarieties and Quasivarieties of Logic

Authors: Colin James III

We evaluate two papers by the same author group. For prevarieties, we test a theorem in M which is not tautologous. For quasivarieties, we test a definition and two theorems. The definition of a De Morgan monoid via an involution function is not tautologous. Theorems for the Dunn monoid and via Brouwerian (and Heyting) algebra are not tautologous. These results collectively refute prevarieties and quasivarieties in logic. What follows is that prevarieties and quasivarieties of logic are non tautologous fragments 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 (We warn troll Mikko at Disqus to read the article four times before hormonal typing.)

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[v1] 2019-02-13 11:39:51

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