Set Theory and Logic


Denial of the Alleged Łukasiewicz Nightmare in System Ł4

Authors: Colin James III

The alleged Łukasiewicz nightmare of (◇p&◇q)→◇(p&q) is not tautologous in Prover9; however, the equation recast in one variable as (◇p&◇~p)→◇(p&~p) is tautologous. In Meth8/VŁ4, both propositions are tautologous. This speaks for Meth8/VŁ4, based on the corrected modern Square of Opposition as an exact bivalent system, as opposed to Prover9, based on the uncorrected modern Square of Opposition as an inexact probabilistic vector space.

Comments: 2 Pages. © Copyright 2019 by Colin James III All rights reserved. Respond to author by email only at: info@ersatz-systems dot com. See website . (We instruct troll Mikko at Disqus to read the article four times before hormonal typing.)

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Submission history

[v1] 2019-01-07 11:41:57

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