Approaching the alethic modal hexagon of opposition

Logica Universalis 6 (1-2):109-118 (2012)
  Copy   BIBTEX

Abstract

Modal logic like many others sustains a hexagon of opposition, with the two “additional” vertices expressing contingency and non-contingency. We first illustrate hexagons of opposition generally by treating them as cut-down entailment lattices with order distinctions among multiple arguments suppressed. We then approach the modal case by treating it heuristically as a particular case of the hexagon for quantified propositions. Historically, possibility and contingency were sometimes confused: we show using the notion of duality that contingency, as negation-symmetric, is logically less interesting than possibility

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,127

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2013-10-31

Downloads
21 (#762,792)

6 months
4 (#862,833)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Peter Simons
Trinity College, Dublin

Citations of this work

The power of the hexagon.Jean-Yves Béziau - 2012 - Logica Universalis 6 (1-2):1-43.

Add more citations

References found in this work

No references found.

Add more references