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First Order Categorical Logic by Michael Makkai

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1Infinitary First-order Categorical Logic

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We present a unified categorical treatment of completeness theorems for several classical and intuitionistic infinitary logics with a proposed axiomatization. This provides new completeness theorems and subsumes previous ones by G\"odel, Kripke, Beth, Karp, Joyal, Makkai and Fourman/Grayson. As an application we prove, using large cardinals assumptions, the disjunction and existence properties for infinitary intuitionistic first-order logics.

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  • Title: ➤  Infinitary First-order Categorical Logic
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The book is available for download in "texts" format, the size of the file-s is: 0.42 Mbs, the file-s for this book were downloaded 27 times, the file-s went public at Sat Jun 30 2018.

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