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First Order Categorical Logic by Michael Makkai
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1Infinitary First-order Categorical Logic
By Christian Espíndola
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.
“Infinitary First-order Categorical Logic” Metadata:
- Title: ➤ Infinitary First-order Categorical Logic
- Author: Christian Espíndola
“Infinitary First-order Categorical Logic” Subjects and Themes:
- Subjects: Mathematics - Category Theory - Logic
Edition Identifiers:
- Internet Archive ID: arxiv-1701.01301
Downloads Information:
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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