Visualizations of the square of opposition

Logica Universalis 2 (1):31-41 (2008)
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.  In logic, diagrams have been used for a very long time. Nevertheless philosophers and logicians are not quite clear about the logical status of diagrammatical representations. Fact is that there is a close relationship between particular visual (resp. graphical) properties of diagrams and logical properties. This is why the representation of the four categorical propositions by different diagram systems allows a deeper insight into the relations of the logical square. In this paper I want to give some examples.



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Peter Bernhard
Universität Erlangen-Nürnberg

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.
Extended Syllogistics in Calculus CL.Jens Lemanski - 2020 - Journal of Applied Logics 8 (2):557-577.

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References found in this work

An Outline of a Theory of Semantic Information.Rudolf Carnap & Yehoshua Bar-Hillel - 1954 - Journal of Symbolic Logic 19 (3):230-232.
Zur Morphologie einer Repräsentationsform in der Logik.P. Bernhard - 2003 - Teorema: International Journal of Philosophy 22 (1-2).

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