@inproceedings{989a4d74525c47c89904111859f34dd8,
title = "The Search for Symmetry in Hohfeldian Modalities",
abstract = "In this work we provide an analysis of some issues arising with geometrical representations of a family of deontic and potestative relations that can be classified as Hohfeldian modalities, traditionally illustrated on two diagrams, the Hohfeldian squares. Our main target is the lack of symmetry to be found in various formal accounts by drawing analogies with the square of opposition for alethic modalities. We argue that one should rather rely on an analogy with the alethic hexagon of opposition and exploit the notions of contingency and absoluteness in order to restore the symmetry of Hohfeldian modalities in accordance to the diagrams presented by Hohfeld. Interestingly, the investigation unveils three potestative squares defined at different levels of granularity (force, outcome and change) and allows us to further elaborate on the connections between deontic and potestative relations.",
keywords = "Deontic relations, Hohfeldian modalities, Hohfeld{\textquoteright}s cube, Modal hexagon of opposition, Potestative relations, Power, Symmetry",
author = "Matteo Pascucci and Giovanni Sileno",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Nature Switzerland AG.; 12th International Conference on the Theory and Application of Diagrams, Diagrams 2021 ; Conference date: 28-09-2021 Through 30-09-2021",
year = "2021",
doi = "10.1007/978-3-030-86062-2_9",
language = "English",
isbn = "9783030860615",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "87--102",
editor = "Amrita Basu and Gem Stapleton and Sven Linker and Catherine Legg and Emmanuel Manalo and Petrucio Viana",
booktitle = "Diagrammatic Representation and Inference - 12th International Conference, Diagrams 2021, Proceedings",
}