English

Nelson's Logical Diagrams

History and Overview 2024-06-13 v2 Logic

Abstract

As is now well known, the generalization of the square of opposition to a hexagon was discovered independently by three philosophers in the early 1950s: Paul Jacoby, Augustin Sesmat, and Robert Blanch\'{e} . Much less well known is the earlier use of similar diagrams by the German philosopher Leonard Nelson (1882-1927). This paper explores the significance of Nelson's work for the history of the JSB hexagon and for logical geometry more widely.

Cite

@article{arxiv.2303.06498,
  title  = {Nelson's Logical Diagrams},
  author = {Andrew Aberdein},
  journal= {arXiv preprint arXiv:2303.06498},
  year   = {2024}
}

Comments

13 pages, 15 figures

R2 v1 2026-06-28T09:12:25.634Z