Metalogical Decorations of Logical Diagrams
Logica Universalis 10 (2-3):233-292 (2016)
Abstract
In recent years, a number of authors have started studying Aristotelian diagrams containing metalogical notions, such as tautology, contradiction, satisfiability, contingency, strong and weak interpretations of contrariety, etc. The present paper is a contribution to this line of research, and its main aims are both to extend and to deepen our understanding of metalogical diagrams. As for extensions, we not only study several metalogical decorations of larger and less widely known Aristotelian diagrams, but also consider metalogical decorations of another type of logical diagrams, viz. duality diagrams. At a more fundamental level, we present a unifying perspective which sheds new light on the connections between new and existing metalogical diagrams, as well as between object- and metalogical diagrams. Overall, the paper studies two types of logical diagrams and four kinds of metalogical decorations.Author's Profile
DOI
10.1007/s11787-015-0136-6
My notes
Similar books and articles
Logical Geometries and Information in the Square of Oppositions.Hans5 Smessaert & Lorenz6 Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
The twofold role of diagrams in Euclid’s plane geometry.Marco Panza - 2012 - Synthese 186 (1):55-102.
Peirce and the logical status of diagrams.Sun-joo Shin - 1994 - History and Philosophy of Logic 15 (1):45-68.
What is a Logical Diagram?Catherine Legg - 2013 - In Sun-Joo Shin & Amirouche Moktefi (eds.), Visual Reasoning with Diagrams. Springer. pp. 1-18.
Diagrammatic Transformation of Architectural Space.Kenneth J. Knoespel - 2002 - Philosophica 70 (2).
Local axioms in disguise: Hilbert on Minkowski diagrams.Ivahn Smadja - 2012 - Synthese 186 (1):315-370.
Diagram-Based Geometric Practice.Kenneth Manders - 2008 - In Paolo Mancosu (ed.), The Philosophy of Mathematical Practice. Oxford University Press. pp. 65--79.
Relationship between Dragon Hill: Erlitou Culture and Yi Culture of Hsia Dynasty.Shan-Gang Shi - 2004 - Philosophy and Culture 31 (3):171-182.
Explanation in two dimensions: Diagrams and biological explanation.Laura Perini - 2005 - Biology and Philosophy 20 (2-3):257-269.
Analytics
Added to PP
2016-01-08
Downloads
26 (#448,758)
6 months
1 (#448,551)
2016-01-08
Downloads
26 (#448,758)
6 months
1 (#448,551)
Historical graph of downloads
Author's Profile
Citations of this work
Combinatorial Bitstring Semantics for Arbitrary Logical Fragments.Lorenz6 Demey & Hans5 Smessaert - 2018 - Journal of Philosophical Logic 47 (2):325-363.
Schopenhauer’s Partition Diagrams and Logical Geometry.Jens Lemanski & Lorenz Demey - 2021 - In A. Basu, G. Stapleton, S. Linker, C. Legg, E. Manalo & P. Viana (eds.), Diagrams 2021: Diagrammatic Representation and Inference. 93413 Cham, Deutschland: pp. 149-165.
Logically-consistent hypothesis testing and the hexagon of oppositions.Julio Michael Stern, Rafael Izbicki, Luis Gustavo Esteves & Rafael Bassi Stern - 2017 - Logic Journal of the IGPL 25 (5):741-757.
References found in this work
Logical Geometries and Information in the Square of Oppositions.Hans5 Smessaert & Lorenz6 Demey - 2014 - Journal of Logic, Language and Information 23 (4):527-565.
On the 3d visualisation of logical relations.Hans Smessaert - 2009 - Logica Universalis 3 (2):303-332.