English

Fuzzy Aristotelian Diagrams

Logic in Computer Science 2025-07-16 v2

Abstract

After a concise introduction to the square of opposition, in particular, and, Aristotelian Diagrams, in general, I describe how one can create a mathematical universe to host these objects. Since these objects assume that the underlying logic is the bivalent logic, I have used these objects as a starting point to introduce fuzzy Aristotelian Diagrams and describe a mathematical formulation of them. In addition, I outline the characteristrics of a mathematical universe that hosts them.

Keywords

Cite

@article{arxiv.2410.11740,
  title  = {Fuzzy Aristotelian Diagrams},
  author = {Apostolos Syropoulos},
  journal= {arXiv preprint arXiv:2410.11740},
  year   = {2025}
}
R2 v1 2026-06-28T19:22:50.325Z