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Platonic Division and the Origins of Aristotelian Logic

Dissertation, University of California, Berkeley (2017)

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  1. A Bitstring Semantics for Calculus CL.Fabien Schang & Jens Lemanski - 2022 - In Ioannis M. Vandoulakis & Jean-Yves Beziau (eds.), The Exoteric Square of Opposition. Cham: Springer. 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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