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.
Year
DOI
Venue
2021
10.1007/978-3-030-86062-2_9
DIAGRAMMATIC REPRESENTATION AND INFERENCE, DIAGRAMS 2021
Keywords
DocType
Volume
Hohfeldian modalities, Modal hexagon of opposition, Deontic relations, Potestative relations, Symmetry, Power, Hohfeld's cube
Conference
12909
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Matteo Pascucci100.68
Giovanni Sileno201.35