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Semantic Analysis of some Variants of Anderson-like Ontological Proofs
Authors:Miroslaw?Szatkowski  author-information"  >  author-information__contact u-icon-before"  >  mailto:misza@gmx.de"   title="  misza@gmx.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Rudolf-von-Hirsch, Str. 27, 82152 Krailling, Germany
Abstract:The aim of this paper is to prove strong completeness theorems for several Anderson-like variants of Gödelrsquos theory wrt. classes of modal structures, in which: (i). 1st order terms order receive only rigid extensions in the constant objectual 1st order domain; (ii). 2nd order terms receive non-rigid extensions in preselected world-relative objectual domains of 2nd order and rigid intensions in the constant conceptual 2nd order domain.
Keywords:Ontological proof  2nd order modal logic  positive properties  completeness
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