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Computer-Assisted Analysis of the Anderson-Hájek Controversy

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Title: Computer-Assisted Analysis of the Anderson-Hájek Controversy

Author, co-author: Benzmüller, Christoph; Weber, Leon; Woltzenlogel Paleo, Bruno

Abstract: A universal reasoning approach based on shallow semantical embeddings of higher-order modal logics into classical higher-order logic is exemplarily employed to analyze several modern variants of the ontological argument on the computer. Several novel findings are reported which contribute to the clarification of a long-standing dispute between Anderson and Hájek. The technology employed in this work, which to some degree realizes Leibniz’s dream of a characteristica universalis and a calculus ratiocinator for solving philosophical controversies, is ready to be fruitfully adopted in larger scale by philosophers.

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