logical geometry

published papers

papers

Demey, Lorenz (2021).
'Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics'. Axioms 10/3, 128. 25 pp.
paper available in PDF format (open access) from MDPI.
Demey, Lorenz (2021).
'Aristotelian Diagrams for Semantic and Syntactic Consequence'. Synthese 198/1, 187-207.
preprint available in PDF format; paper available in PDF format from Springer.
Smessaert, Hans; Atsushi Shimojima & Lorenz Demey (2020).
'Free Rides in Logical Space Diagrams versus Aristotelian Diagrams', In: Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 12169. Cham: Springer, 419-435.
preprint available in PDF format; paper available in PDF format from Springer.
Best paper award at Diagrams 2020 conference.
Demey, Lorenz & Hans Smessaert (2020).
'Using Multigraphs to Study the Interaction Between Opposition, Implication and Duality Relations in Logical Squares'. In: Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 12169. Cham: Springer, 385-393.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2020)
'Mathematization and Vergessenmachen in the Historiography of Logic'. History of Humanities 5/1, 51-74.
preprint available in PDF format; paper available online at University of Chicago Press.
Demey, Lorenz (2020).
'Between Square and Hexagon in Oresme's Livre du Ciel et du Monde'. History and Philosophy of Logic 41/1, 36-47.
preprint available in PDF format; paper available in PDF format from Taylor & Francis Online.
Demey, Lorenz (2020).
'From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometry'. In: Jens Lemanski (ed.), Mathematics, Logic and Language in Schopenhauer. Berlin: Springer, 181-205.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2019).
'The Role of Aristotelian Diagrams in the Scientific Communication'. In: András Benedek and Kristóf Nyíri (eds.), Learning and Technology in Historical Perspective. Perspectives on Visual Learning 2 Budapest: Hungarian Academy of Sciences, 69-77.
Demey, Lorenz (2019).
'Aristotelian Diagrams in the Debate on Future Contingents'. Sophia 58/3, 321-329.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2019).
'Boolean Considerations on John Buridan’s Octagons of Opposition'. History and Philosophy of Logic 40/2, 116-134.
preprint available in PDF format; paper available in PDF format from Taylor & Francis.
Demey, Lorenz (2019).
'A Hexagon of Opposition for the Theism/Atheism Debate'. Philosophia 47/2, 387-394.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2019).
'Metalogic, Metalanguage and Logical Geometry'. Logique et Analyse 248, 453-478.
preprint available in PDF format.
Demey, Lorenz & Hans Smessaert (2018).
'Geometric and Cognitive Differences between Logical Diagrams for the Boolean Algebra B_4'. Annals of Mathematics and Artificial Intelligence 83/2, 185-208.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2018).
'Computing the Maximal Boolean Complexity of Families of Aristotelian Diagrams'. Journal of Logic and Computation 28/6, 1323-1339.
preprint available in PDF format; paper available in PDF format from Oxford University Press; Prolog code available in PDF format.
Demey, Lorenz & Hans Smessaert (2018).
'Aristotelian and Duality Relations Beyond the Square of Opposition', In: Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah Perez-Kriz & Francesco Bellucci (eds.), Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 10871. Heidelberg: Springer, 640-656.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2018).
'Combinatorial Bitstring Semantics for Arbitrary Logical Fragments'. Journal of Philosophical Logic 47/2, 325-363.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz (2018).
'The Porphyrian Tree and Multiple Inheritance: A Rejoinider to Tylman on Computer Science and Philosophy'. Foundations of Science 23/1, 173-180.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2017).
'Logical and Geometrical Distance in Polyhedral Aristotelian Diagrams in Knowledge Representation'. Symmetry 9/10, 204. 22 pp.
paper available in PDF format (open access) from MDPI.
Smessaert, Hans & Lorenz Demey (2017).
'Duality Patterns in 2-PCD Fragments'. South American Journal of Logic 3/2, 225-272.
preprint available in PDF format.
Demey, Lorenz (2017).
'Using Syllogistics to Teach Metalogic'. Metaphilosophy 48/4, 575-590.
preprint available in PDF format; paper available in PDF format from Wiley.
Demey, Lorenz & Philipp Steinkrüger (2017).
'De logische geometrie van Johannes Buridanus' modale achthoek'. Tijdschrift voor Filosofie 79/2, 217-238.
preprint available in PDF format; paper available in PDF format from Peeters.
Demey, Lorenz & Hans Smessaert (2017).
'Duality in Logic and Language'. In: James Fieser & Bradley Dowden (eds.), Internet Encyclopedia of Philosophy. Martin, TN: University of Tennessee. 37 pp.
paper available online.
Smessaert, Hans & Lorenz Demey (2017).
'The Unreasonable Effectiveness of Bitstrings in Logical Geometry'. In: Jean-Yves Beziau & Gianfranco Basti (eds.) The Square of Opposition: A Cornerstone of Thought. Basel: Springer, 197-214.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2016).
'The Interaction between Logic and Geometry in Aristotelian Diagrams'. In: Mateja Jamnik, Yuri Uesaka & Stephanie Elzer Schwartz (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 9781. Heidelberg: Springer, 67-82.
preprint available in PDF format; paper available in PDF format from Springer.
Smessaert, Hans & Lorenz Demey (2016).
'Visualising the Boolean Algebra B_4 in 3D'. In: Mateja Jamnik, Yuri Uesaka & Stephanie Elzer Schwartz (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 9781. Heidelberg: Springer, 289-292.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2016).
'Metalogical Decorations of Logical Diagrams'. Logica Universalis 10/2, 233–292.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2016).
'Shape Heuristics in Aristotelian Diagrams'. In: Oliver Kutz, Stefano Borgo and Mehdl Bhatt (eds.), Shapes 2015 - The Shape of Things 2015. CEUR Workshop Proceedings Vol. 1616, 35-45.
preprint available in PDF format; volume available at CEUR-WS website.
Smessaert, Hans & Lorenz Demey (2015).
'Béziau's Contributions to the Logical Geometry of Modalities and Quantifiers'. In: Arnold Koslow & Arthur Buchsbaum (eds.) The Road to Universal Logic. Heidelberg: Springer, 475-493.
preprint available in PDF format; paper available in PDF format from Springer.
Smessaert, Hans & Lorenz Demey (2015).
'La géométrie logique du dodécaèdre rhombique des oppositions [The Logical Geometry of the Rhombic Dodecahedron of Oppositions]'. In: Saloua Chatti (ed.) Le carré et ses extensions: Approches théoriques, pratiques et historiques. Tunis: Université de Tunis, 127-157.
preprint available in PDF format.
Smessaert, Hans & Lorenz Demey (2014).
'Logical Geometries and Information in the Square of Oppositions'. Journal of Logic, Language and Information 23/4, 527-565.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2014).
'Logische meetkunde en pragmatiek'. In: Freek Van de Velde, Hans Smessaert, Frank Van Eynde & Sara Verbrugge (2014, red.) Patroon en Argument. Dubbelfeestbundel bij het emeritaat van William Van Belle en Joop van der Horst. Leuven: Universitaire Pers Leuven, 553-564.
preprint available in PDF format; more information from Leuven University Press.
Smessaert, Hans & Lorenz Demey (2014).
'Logical and Geometrical Complementarities between Aristotelian Diagrams'. In: Tim Dwyer, Helen Purchase & Aidan Delaney (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 8578. Heidelberg: Springer, 246-260.
preprint available in PDF format; paper available in PDF format from Springer.
Demey, Lorenz & Hans Smessaert (2014).
'The Relationship between Aristotelian and Hasse Diagrams'. In: Tim Dwyer, Helen Purchase & Aidan Delaney (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 8578. Heidelberg: Springer, 213-227.
preprint available in PDF format; paper available in PDF format from Springer.
Smessaert, Hans (2012).
'The Classical Aristotelian Hexagon versus the Modern Duality Hexagon'. Logica Universalis 6/1, 171-199.
paper available in PDF format from Springer.
Demey, Lorenz (2012).
'Structures of Oppositions in Public Announcement Logic'. In: Jean-Yves Béziau and Dale Jacquette (eds.) Around and Beyond the Square of Opposition. Basel: Springer/Birkhäuser, 313-339.
paper available in PDF format from Springer.
Demey, Lorenz (2012).
'Algebraic Aspects of Duality Diagrams', In: Philip Cox, Beryl Plimmer and Peter Rodgers (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 7352. Heidelberg: Springer, 300-302.
paper available in PDF format from Springer.
Smessaert, Hans (2012).
'Boolean Differences between two Hexagonal Extensions of the Logical Square of Oppositions'. In: Philip Cox, Beryl Plimmer and Peter Rodgers (eds.) Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 7352. Heidelberg: Springer, 193-199.
paper available in PDF format from Springer.
Smessaert, Hans (2009).
'On the 3D Visualisation of Logical Relations'. Logica Universalis 3/2, 303-332.
paper available in PDF format from Springer.

books

Geudens, Christophe & Lorenz Demey (2021).
Modal Logic in the Post-Medieval Period. The Case of John Fabri of Valenciennes (c. 1500). Cham: Springer.
Roelandt, Koen (2016).
Most or the Art of Compositionality: Dutch de/het meeste at the Syntax-Semantics Interface. Utrecht: LOT Publications.
full text available in PDF format from LOT Publications.

book reviews

Demey, Lorenz & Hans Smessaert (2013).
'Joint review of Jean-Yves Béziau and Gillman Payette (eds.). The Square of Opposition. A General Framework for Cognition, 2012 and Jean-Yves Béziau and Dale Jacquette (eds.). Around and Beyond the Square of Opposition, 2012' [in Dutch]. Tijdschrift voor Filosofie 75/4, 831-833.
preprint available in PDF format; paper available in PDF format from Peeters.