On the Origin of Venn Diagrams

Axiomathes 32 (3):887-900 (2022)
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Abstract

In this paper we argue that there were several currents, ideas and problems in 19th-century logic that motivated John Venn to develop his famous logic diagrams. To this end, we first examine the problem of uncertainty or over-specification in syllogistic that became obvious in Euler diagrams. In the 19th century, numerous logicians tried to solve this problem. The most famous was the attempt to introduce dashed circles into Euler diagrams. The solution that John Venn developed for this problem, however, came from a completely different area of logic: instead of orienting to syllogistic like Euler diagrams, Venn applied Boolean algebra to improve visual reasoning. Venn’s contribution to solving the problem of elimination also played an important role. The result of this development is still known today as the ‘Venn Diagram’.

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Author Profiles

Amirouche Moktefi
Tallinn University of Technology
Jens Lemanski
University of Münster

Citations of this work

Kant’s Crucial Contribution to Euler Diagrams.Jens Lemanski - 2024 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):59–78.
Transcendental Philosophy and Logic Diagrams.Jens Lemanski - forthcoming - Philosophical Investigations:1-27.

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References found in this work

World and Logic.Jens Lemanski - 2021 - London, Vereinigtes Königreich: College Publications.
An Investigation of the Laws of Thought.George Boole - 1854 - [New York]: Dover Publications.
Symbolic Logic.John Venn - 1881 - Mind 6 (24):574-581.
Logic machines and diagrams.Martin Gardner - 1958 - Chicago: University of Chicago Press.

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