English

Diagrams of opposition: an algebraic viewpoint

Logic 2024-08-02 v1

Abstract

We study the square of opposition and its various geometric generalizations from an algebraic viewpoint. In particular, we show how the various shapes of oppositions can be framed under an algebraic framework and we illustrate this approach with algebraic structures beyond the traditional logical structures.

Keywords

Cite

@article{arxiv.2408.00158,
  title  = {Diagrams of opposition: an algebraic viewpoint},
  author = {Chai Wah Wu},
  journal= {arXiv preprint arXiv:2408.00158},
  year   = {2024}
}

Comments

8 pages, 5 figures