Logical Geometries and Information in the Square of Oppositions

@article{Smessaert2014LogicalGA,
  title={Logical Geometries and Information in the Square of Oppositions},
  author={Hans Smessaert and Lorenz Demey},
  journal={Journal of Logic, Language and Information},
  year={2014},
  volume={23},
  pages={527-565}
}
The Aristotelian square of oppositions is a well-known diagram in logic and linguistics. In recent years, several extensions of the square have been discovered. However, these extensions have failed to become as widely known as the square. In this paper we argue that there is indeed a fundamental difference between the square and its extensions, viz., a difference in informativity. To do this, we distinguish between concrete Aristotelian diagrams (such as the square) and, on a more abstract… CONTINUE READING

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