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Recent Successes with a Meta-Logical Approach to Universal Logical Reasoning (Extended Abstract)

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Formal Methods: Foundations and Applications (SBMF 2017)

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Abstract

The quest for a most general framework supporting universal reasoning is very prominently represented in the works of Leibniz. He envisioned a scientia generalis founded on a characteristica universalis, that is, a most universal formal language in which all knowledge about the world and the sciences can be encoded. A quick study of the survey literature on logical formalisms suggests that quite the opposite to Leibniz’ dream has become reality. Instead of a characteristica universalis, we are today facing a very rich and heterogenous zoo of different logical systems, and instead of converging towards a single superior logic, this logic zoo is further expanding, eventually even at accelerated pace. As a consequence, the unified vision of Leibniz seems farther away than ever before. However, there are also some promising initiatives to counteract these diverging developments. Attempts at unifying approaches to logic include categorial logic algebraic logic and coalgebraic logic.

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Authors and Affiliations

  1. University of Luxembourg, Esch-sur-Alzette, Luxembourg

    Christoph Benzmüller

  2. Freie Universität Berlin, Berlin, Germany

    Christoph Benzmüller

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  1. Christoph Benzmüller
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Correspondence to Christoph Benzmüller .

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Editors and Affiliations

  1. Universidade Federal de Pelotas, Pelotas, Brazil

    Simone Cavalheiro

  2. Royal Holloway, University of London, Egham, United Kingdom

    José Fiadeiro

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Benzmüller, C. (2017). Recent Successes with a Meta-Logical Approach to Universal Logical Reasoning (Extended Abstract). In: Cavalheiro, S., Fiadeiro, J. (eds) Formal Methods: Foundations and Applications. SBMF 2017. Lecture Notes in Computer Science(), vol 10623. Springer, Cham. https://doi.org/10.1007/978-3-319-70848-5_2

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  • DOI: https://doi.org/10.1007/978-3-319-70848-5_2

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