Jens Lemanski
Fernuniversität Hagen
Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase of regression the entire knowledge about the systematic application and the history of euler-type diagrams was lost. I will argue that the first expansive period lasted from Vives (1531) to Alsted (1614). The second period began around 1660 with Weigel and ended in 1712 with lange. The third period of expansion started around 1760 with the works of Ploucquet, euler and lambert. Finally, it is shown that euler-type diagrams became popular in the debate about intuition which took place in the 1790s between leibnizians and Kantians. The article is thus limited to the historical periodization between 1530 and 1800.
Keywords diagrammatic reasoning  Euler diagrams  history of logic  logic diagrams
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DOI 10.11590/abhps.2017.1.03
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References found in this work BETA

Realizing Reason: A Narrative of Truth and Knowing.Danielle Macbeth - 2014 - Oxford, England: Oxford University Press.
What is a Logical Diagram?Catherine Legg - 2013 - In Sun-Joo Shin & Amirouche Moktefi (eds.), Visual Reasoning with Diagrams. Springer. pp. 1-18.
Lectures on Metaphysics and Logic.William Hamilton - 1860 - Stuttgart-Bad Cannstatt, Frommann-Holzboog.
[Introduction].O. H. Mitchell & J. Venn - 1884 - Mind 9 (34):321-322.

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Citations of this work BETA

Euler-type Diagrams and the Quantification of the Predicate.Jens Lemanski - 2020 - Journal of Philosophical Logic 49 (2):401-416.
World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
Logic Diagrams, Sacred Geometry and Neural Networks.Jens Lemanski - 2019 - Logica Universalis 13 (4):495-513.

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