recommended readings (the most important papers are marked with ***)
1. Basic Definitions, Bitstring Semantics and (Iso)Morphisms
Geudens, Christophe & Lorenz Demey (2021).
'On the Aristotelian Roots of the Modal Square of Opposition'. Logique et Analyse255, 313 - 348.
=> preprint available in PDF format; paper available in PDF format from Peeters Online Journals
Demey, Lorenz (2020).
'Between Square and Hexagon in Oresme's Livre du Ciel et du Monde'. History and Philosophy of Logic41/1, 36 - 47.
=> preprint available in PDF format;
paper available in PDF format from Taylor & Francis Online
*** Demey, Lorenz (2019).
'Metalogic, Metalanguage and Logical Geometry'. Logique et Analyse248, 453 - 478.
=> preprint available in PDF format; paper available in PDF format from Peeters Online Journals
=> for the course: focus on sections 1 - 2
Demey, Lorenz & Hans Smessaert (2022).
'From Euler Diagrams to Aristotelian Diagrams'. In: Valeria Giardino, Sven Linker, Richard Burns, Francesco Bellucci, Jean-Michel Boucheix & Petrucio Viana (eds.), Diagrammatic Representation and Inference. Lecture Notes in Artificial Intelligence (LNAI) 13462. Cham: Springer, 279 - 295.
=> preprint available in PDF format;
paper available in PDF format from Springer
Demey, Lorenz & Hans Smessaert (2024).
'Euler Diagrams, Aristotelian Diagrams and Syllogistics'. Forthcoming in: Jens Lemanski, Mikkel Willum Johansen, Emmanuel Manalo,
Petrucio Viana, Reetu Bhattacharjee & Richard Burns (eds.), Diagrammatic Representation and Inference.
Lecture Notes in Artificial Intelligence (LNAI). Cham: Springer.
=> preprint available in PDF format
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, Springer, Basel. 197 - 214.
=> 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 Logic47/2, 325 - 363.
=> preprint available in PDF format;
paper available in PDF format from Springer
=> for the course: focus on sections 1 - 3, 6
2. Abstract-Logical Properties of Aristotelian Diagrams, Part I
*** Smessaert, Hans & Lorenz Demey (2014).
'Logical Geometries and Information in the Square of Oppositions'. Journal of Logic, Language and Information23/4, 527 - 565.
=> preprint available in PDF format; paper available in PDF format from Springer
Demey, Lorenz & Hans Smessaert (2016).
'Duality in Logic and Language'. In: James Fieser & Bradley Dowden (eds.), Internet Encyclopedia of Philosophy. Martin, TN: University of Tennessee.
=> paper available online
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
=> for the course: focus on sections 4 - 6
*** 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 (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
3. Visual-Geometric Properties of Aristotelian Diagrams
Demey, Lorenz & Hans Smessaert (2016).
'Shape Heuristics in Aristotelian Diagrams'. In: Oliver Kutz, Stefano Borgo and Mehul Bhatt (eds.) Shapes 2015 - The Shape of Things 2015. CEUR Workshop Proceedings Vol. 1616, 35 - 45.
=> volume available at CEUR-WS website
*** 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. Springer International Publishing, 67 - 82.
=> 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, 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 the Diagrams 2020 conference
Smessaert, Hans, Atsushi Shimojima & Lorenz Demey (2021).
'On the Cognitive Potential of Derivative Meaning in Aristotelian Diagrams'.
In: Amrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo & Petrucio Viana (eds.) Diagrammatic Representation and Inference.
Lecture Notes in Artificial Intelligence (LNAI) 12909. Cham: Springer, 495 - 511.
=> 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'. Symmetry9/10. 22 pp.
=> paper available in PDF format (open access) from MDPI
=> for the course: focus on sections 3 - 4
*** Demey, Lorenz & Hans Smessaert (2018).
'Geometric and Cognitive Differences between Logical Diagrams for the Boolean Algebra B_4'. Annals of Mathematics and Artificial Intelligence83/2, 185 - 208.
=> preprint available in PDF format;
paper available in PDF format from Springer
=> for the course: focus on sections 3 - 7
4. Abstract-Logical Properties of Aristotelian Diagrams, Part II
*** Demey, Lorenz & Hans Smessaert (2018).
'Combinatorial Bitstring Semantics for Arbitrary Logical Fragments'. Journal of Philosophical Logic47/2, 325 - 363.
=> preprint available in PDF format;
paper available in PDF format from Springer
=> for the course: focus on sections 4 - 5
Demey, Lorenz (2019).
'Boolean Considerations on John Buridan's Octagons of Opposition'. History and Philosophy of Logic40/2, 116 - 134.
=> preprint available in PDF format;
paper available in PDF format from Taylor & Francis
*** Demey, Lorenz & Hans Smessaert (2024).
'Aristotelian and Boolean Properties of the Keynes-Johnson Octagon of Opposition'. Forthcoming in: Journal of Philosophical Logic.
=> preprint available in PDF format;
paper available in PDF format from Springer
Demey, Lorenz & Atahan Erbas (2024).
'Boolean Subtypes of the U4 Hexagon of Opposition'. Axioms13/2, 20 pp.
=> paper available in PDF format (open access) from MDPI
*** Demey, Lorenz (2018).
'Computing the Maximal Boolean Complexity of Families of Aristotelian Diagrams'.
Journal of Logic and Computation28/6, 1323 - 1339.
=> preprint available in PDF format;
paper available in PDF format from Oxford University Press;
Prolog code available in PDF format
Demey, Lorenz (2015).
'Interactively Illustrating the Context-Sensitivity of Aristotelian Diagrams'. In: Henning Christiansen, Isidora Stojanovic and George Papadopoulos (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
*** Demey, Lorenz (2021).
'Logic-Sensitivity of Aristotelian Diagrams in Non-Normal Modal Logics'. Axioms10/3, 25 pp.
=> paper available in PDF format (open access) from MDPI
Demey, Lorenz & Stef Frijters (2023).
'Logic-Sensitivity and Bitstring Semantics in the Square of Opposition'.
Journal of Philosophical Logic52/6, 1703 - 1721.
=> preprint available in PDF format; paper available in PDF format from Springer
5. Case Studies and Philosophical Outlook
*** Demey, Lorenz (2024).
'The Logical Geometry of Russell's Theory of Definite Descriptions'. Submitted. 33 pp.
=> preprint available in PDF format
Demey, Lorenz (2018).
'A Hexagon of Opposition for the Theism/Atheism Debate', Philosophia47/2, 387 - 394.
=> preprint available in PDF format;
paper available in PDF format from Springer
Demey, Lorenz (2019).
'Aristotelian Diagrams in the Debate on Future Contingents', Sophia58/3, 321 - 329.
=> preprint available in PDF format;
paper available in PDF format from Springer
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
García-Cruz, José David & Lorenz Demey (2024).
'Aristotelian Diagrams for the Ancient Discussion on Privative and Infinite Negation'. Forthcoming in: Logique et Analyse.
=> preprint available in PDF format
Demey, Lorenz (2021).
'Aristotelian Diagrams for Semantic and Syntactic Consequence', Synthese198/1, 187 - 207.
=> preprint available in PDF format;
paper available in PDF format from Springer
Smessaert, Hans & Lorenz Demey (2022).
'On the Logical Geometry of Geometrical Angles', Logica Universalis16/4, 581 - 601.
=> preprint available in PDF format;
paper available in PDF format from Springer
Smessaert, Hans & Lorenz Demey (2023).
'Aristotelian Diagrams for the Proportional Quantifier 'Most'', Axioms12/3, 236. 13 pp.
=> paper available in PDF format (open access) from MDPI
*** 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.
=> preprint available in PDF format