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

Jens Lemanski
Fernuniversität Hagen
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s10992-019-09522-y
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,683
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

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.

View all 9 references / Add more references

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.

Add more citations

Similar books and articles

Periods in the Use of Euler-Type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
How Diagrams Can Support Syllogistic Reasoning: An Experimental Study.Yuri Sato & Koji Mineshima - 2015 - Journal of Logic, Language and Information 24 (4):409-455.
Is Euler’s Circle a Symbol or an Icon?Amirouche Moktefi - 2015 - Sign Systems Studies 43 (4):597-615.
Euler’s Visual Logic.Eric Hammer & Sun-Joo Shin - 1998 - History and Philosophy of Logic 19 (1):1-29.
Strategy Analysis of Non-Consequence Inference with Euler Diagrams.Yuri Sato, Yuichiro Wajima & Kazuhiro Ueda - 2018 - Journal of Logic, Language and Information 27 (1):61-77.
Logik und Eristische Dialektik.Jens Lemanski - 2018 - In Daniel Schubbe & Matthias Koßler (eds.), Schopenhauer-Handbuch: Leben – Werk – Wirkung. Stuttgart, Deutschland: Springer. pp. 160-165.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.
The Semiotics of Spider Diagrams.James Burton & John Howse - 2017 - Logica Universalis 11 (2):177-204.
XI.—Hamilton's Quantification of the Predicate.W. Bednarowski - 1956 - Proceedings of the Aristotelian Society 56 (1):217-240.


Added to PP index

Total views
27 ( #411,540 of 2,462,430 )

Recent downloads (6 months)
6 ( #119,538 of 2,462,430 )

How can I increase my downloads?


My notes