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Published in:
1996 | OriginalPaper | Chapter
Combining Classical and Intuitionistic Logic
Or: Intuitionistic Implication as a Conditional
Authors : Luis Fariñas del Cerro, Andreas Herzig
Published in: Frontiers of Combining Systems
Publisher: Springer Netherlands
Included in: Professional Book Archive
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We study how a logic C+J conbining classical logic C and intuitionistic logic J can be defined. We show that its Hilbert axiomatization cannot be attained by simply extending the union of the axiomatizations of C and J by so called interaction axioms. Such a logic would collapse into classical logic.