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  1. World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
    What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer’s hitherto undiscovered Berlin Lectures, which concern the philosophy of language, (...)
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  • A Bitstring Semantics for Calculus CL.Fabien Schang & Jens Lemanski - 2022 - In Jean-Yves Beziau & Ioannis Vandoulakis (eds.), The Exoteric Square of Opposition. Birkhauser. pp. 171–193.
    The aim of this chapter is to develop a semantics for Calculus CL. CL is a diagrammatic calculus based on a logic machine presented by Johann Christian Lange in 1714, which combines features of Euler-, Venn-type, tree diagrams, squares of oppositions etc. In this chapter, it is argued that a Boolean account of formal ontology in CL helps to deal with logical oppositions and inferences of extended syllogistics. The result is a combination of Lange’s diagrams with an algebraic semantics of (...)
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  • Calculus CL - From Baroque Logic to Artificial Intelligence.Jens Lemanski - 2020 - Logique Et Analyse 249:111-129.
    In the year 1714, Johann Christian Lange published a baroque textbook about a logic machine, supposed to simulate human cognitive abilities such as perception, judgement, and reasoning. From today’s perspective, it can be argued that this blueprint is based on an inference engine applied to a strict ontology which serves as a knowledge base. In this paper, I will first introduce Lange’s approach in the period of baroque logic and then present a diagrammatic modernization of Lange’s principles, entitled Calculus CL. (...)
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