Set Theory and Logic


Rejection of Trivial Objections to Modal Logic Ł4

Authors: Colin James III

We evaluate objections to the modal logic Ł4 by six equations in contra arguments which we reject as not tautologous. The concluding equation invoked as (((p=p)=(q=q)))=(r=r))=((p=q)=r) is not tautologous. We reject the trivial conclusion that "modal syllogisms with both necessary premises and with mixed premises cannot be distinguished while one is necessary and another assertoric[:] Łukasiewicz’ modal logic is useless for investigating Aristotelian modal syllogistic". Hence we use our VŁ4 to invalidate objections to itself.

Comments: 2 Pages. © Copyright 2016-2019 by Colin James III All rights reserved. Updated abstract at . Respond to the author by email at: info@ersatz-systems dot com.

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[v1] 2018-12-18 19:54:48

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