logical geometry

published papers

papers

Paper P33: Demey, Lorenz (2018).
'Aristotelian Diagrams for Semantic and Syntactic Consequence'. Synthese. 21 pp.
preprint available in PDF format; paper available in PDF format from Springer.
Paper P32: Demey, Lorenz (2018).
'From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometry'. in: Jens Lemanski (ed.), Mathematics, Logic and Language in Schopenhauer. Heidelberg: Springer. 25 pp.
preprint available in PDF format.
Paper P31: 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.
Paper P30: Demey, Lorenz (2018).
'Metalogic, Metalanguage and Logical Geometry'. Logique et Analyse. 24 pp.
preprint available in PDF format.
Paper P29: Demey, Lorenz (2018).
'A Hexagon of Opposition for the Theism/Atheism Debate'. Philosophia. 8 pp.
preprint available in PDF format; paper available in PDF format from Springer.
Paper P28: 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.
Paper P27: 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.
Paper P26: 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.
Paper P25: Demey, Lorenz (2018).
'Aristotelian Diagrams in the Debate on Future Contingents'. Sophia. 9 pp.
preprint available in PDF format; paper available in PDF format from Springer.
Paper P24: 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.
Paper P23: Demey, Lorenz (2018).
'The Porphyrian Tree and Mdltiple 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.
Paper P22: 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.
Paper P21: 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.
Paper P20: 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.
Paper P19: 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.
Paper P18: 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.
Paper P17: 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.
Paper P16: 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.
Paper P15: 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.
Paper P14: 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.
Paper P13: 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.
Paper P12: Demey, Lorenz (2015).
'Interactively Illustrating the Context-Sensitivity of Aristotelian Diagrams'. In: Henning Christiansen, Isidora Stojanovic and George Papadopodlos (eds.) Modeling and Using Context. Lecture Notes in Artificial Intelligence (LNAI) 9405. Heidelberg: Springer, 331-345.
preprint available in PDF format; paper available in PDF format from Springer; interactive illustration available here.
Paper P11: 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.
Paper P10: 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.
Paper P9: 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.
Paper P8: 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.
Paper P7: 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.
Paper P6: 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.
Paper P5: 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.
Paper P4: 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.
Paper P3: 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.
Paper P2: 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.
Paper P1: Smessaert, Hans (2009).
'On the 3D Visualisation of Logical Relations'. Logica Universalis 3/2, 303-332.
paper available in PDF format from Springer.

books

Book B1: Roelandt, Koen (2016).
Most or the Art of Compositionality: Dutch de/het meeste at the Syntax-Semantics Interface. Utrecht: LOT Publications. 'Part II: The Internal Logic of Adjectival Lexical Fields', 97-194.
fdll text available in PDF format from LOT Publications.

book reviews

Review R1: 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.