Publications

In what follows, all publications are listed which were produced in connection with the project „History and Philosophy of Euler-Venn Diagrams“ at the FernUniversität in Hagen.

From a historical perspective, the main thesis of the project is that there are three main periods in the history of logic in which Euler-Venn-type diagrams have been used, and that in each period separate systematic approaches have been discussed (cf. General papers). From a systematic perspective, the main thesis is that there are many diagram types in the history of logic that can be applied today in various sciences (cf. Modern applications).

The current focus of research is on Lange diagrams from the 2nd period (the modern form is called Calculus CL) and on Schopenhauer’s diagrammatic logic and eristic from 3rd period (the modern interpretation is called Schopenhauer diagrams).

General papers on history and philosophy of logic diagrams

• Jens Lemanski: „Periods in the Use of Euler-Type Diagrams“, in Acta Baltica Historiae et Philosophiae Scientiarum 5:1 (2017), pp. 50–69.
• Jean-Yves Béziau, Jens Lemanski: „The Cretan Square“, in Logica Universalis 14:1 (2020), pp. 1–5.

1st Period: 1531–1611

• Jens Lemanski: „Means or end? Eulerian-Diagrams in the History of Modern Philosophy“, in ??????-??????????? ?????? 13:2 (2016), c. 82. 

2nd Period: 1660–1714

• Jens Lemanski: „Logic Diagrams in the Weigel and Weise Circles“, in History and Philosophy of Logic 39:1 (2018), pp. 3–28.
• Jens Lemanski: „Euler-type Diagrams and the Quantification of the Predicate“, in Journal of Philosophical Logic  49:2 (2020), pp. 401–416.   [Non-subscriber Link]
• Jens Lemanski: „Logikdiagramme und Logikmaschinen aus der Zittauer Schule um Christian Weise“, in Neue Lausitzische Magazin 141: 1 (2019), pp. 39-57.

3rd Period: 1758–

• Jens Lemanski: „Schopenhauers Gebrauchstheorie der Bedeutung und das Kontextprinzip. Eine Parallele zu Wittgensteins Philosophischen Untersuchungen„, in Schopenhauer-Jahrbuch 97 (2016), pp. 171–195.
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• Amirouche Moktefi, Jens Lemanski: „Making Sense of Schopenhauer’s Diagram of Good and Evil“, in Bellucci F. Perez-Kriz S. Moktefi A. Stapleton G. Chapman P. (ed.), Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. pp. 721–724. 
• Jens Lemanski:  „Logik und Eristische Dialektik“, in M. Koßler, D. Schubbe (ed.), Schopenhauer-Handbuch. 2nd ed. Metzler (2018), pp. 160–169.
• Jens Lemanski: „Logic Diagrams, Sacred Geometry and Neural Networks“, in Logica Universalis 13:4 (2019), pp. 495–513.
• Hubert  Martin Schüler, Jens Lemanski: „Schopenhauer on Naturalness in Logic“, in J. Lemanski (ed.) Language, Logic, and Mathematics in Schopenhauer. Birkhäuser 2020, pp. 

Modern Applications

Calculus CL

• Jens Lemanski: „Calculus CL as Ontology Editor and Inference Engine“, in: Lecture Notes in Artificial Intelligence 10871 (2018), S. 752–756.
• Jens Lemanski: „Oppositional Geometry in the Diagrammatic Calculus CL“, in: South American Journal of Logic 3:2 (2017), S. 517–531.
• Fabien Schang, Jens Lemanski: „A Bitstring Semantics for Calculus CL“, [forthcoming]
• Jens Lemanski: „Extended Syllogistics in Calculus CL„, in: Journal of Applied Logics [forthcoming]
• Ludger Jansen, Jens Lemanski: „Calculus CL as Formal System“, in: Lecture Notes in Artificial Intelligence. Proceedings of DIAGRAMS 2020. [forthcoming]
• Jens Lemanski: „Calculus CL – From Baroque Logic to Artificial Intelligence“, in: Logique et Analyse [forthcoming]

Schopenhauer Diagrams

• Micha? Dobrza?ski, Jens Lemanski: „Schopenhauer Diagrams for Conceptual Analysis“. In: Lecture Notes in Computer Science. [forthcoming] 
• Micha? Dobrza?ski, Jens Lemanski: „Reism, Concretism, and Schopenhauer Diagrams“. In: Studia Humana [forthcoming]