Journal of Philosophical Logic 49 (2):401-416 (2020)

Authors
Jens Lemanski
Fernuniversität Hagen
Abstract
Logicians have often suggested that the use of Euler-type diagrams has influenced the idea of the quantification of the predicate. This is mainly due to the fact that Euler-type diagrams display more information than is required in traditional syllogistics. The paper supports this argument and extends it by a further step: Euler-type diagrams not only illustrate the quantification of the predicate, but also solve problems of traditional proof theory, which prevented an overall quantification of the predicate. Thus, Euler-type diagrams can be called the natural basis of syllogistic reasoning and can even go beyond. In the paper, these arguments are presented in connection with the book Nucleus Logicae Weisaniae by Johann Christian Lange from 1712.
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DOI 10.1007/s10992-019-09522-y
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References found in this work BETA

Logic Machines and Diagrams.Martin Gardner - 1958 - University of Chicago Press.
Lectures on Metaphysics and Logic.William Hamilton - 1860 - Stuttgart-Bad Cannstatt, Frommann-Holzboog.
Syllogism and Quantification.Timothy Smiley - 1962 - Journal of Symbolic Logic 27 (1):58-72.
Periods in the Use of Euler-Type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.

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Citations of this work BETA

Calculus CL as a Formal System.Jens Lemanski & Ludger Jansen - 2020 - In Ahti Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Diagrams 2020. Lecture Notes in Computer Science, vol 12169. 2020. 93413 Cham, Deutschland: pp. 445-460.

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