Diagrammatic Representation and Inference : 13th International Conference, Diagrams 2022, Rome, Italy, September 14–16, 2022, Proceedings / / edited by Valeria Giardino, Sven Linker, Richard Burns, Francesco Bellucci, Jean-Michel Boucheix, Petrucio Viana

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2022
• Edizione: 1st ed. 2022.
• Descrizione fisica: 1 online resource (386 pages)
• Disciplina: 006.6869; 006.6
• Soggetto topico: Artificial intelligence; User interfaces (Computer systems); Human-computer interaction; Data structures (Computer science); Information theory; Computer programming; Compilers (Computer programs); Computer science; Artificial Intelligence; User Interfaces and Human Computer Interaction; Data Structures and Information Theory; Programming Techniques; Compilers and Interpreters; Theory of Computation
• Persona (resp. second.): GiardinoValeria
• Nota di contenuto: Intro -- Preface -- Organization -- Contents -- Theoretical Perspectives -- Introducing the Diagrammatic Semiotic Mode -- 1 Introduction -- 2 A Multimodal Perspective on Diagrams -- 3 Multimodal Diagram Corpora -- 3.1 The Allen Institute for Artificial Intelligence Diagrams Dataset -- 3.2 AI2D-RST - A Multimodally-Motivated Annotation Schema -- 3.3 Next Step: Adding Discourse-Driven Decomposition to AI2D-RST -- 4 Discussion -- 5 Conclusion -- References -- On Computing Optimal Linear Diagrams -- 1 Introduction -- 2 Preliminaries -- 3 Complexity of Linear Diagrams -- 4 TSP Model -- 4.1 Solving Linear Diagrams with TSP -- 4.2 Priorities for Sets -- 4.3 A Weighted Version -- 4.4 Hierarchical Constraints -- 5 Experiments -- 5.1 Setup and Test Data -- 5.2 Computing Optimal Linear Diagrams -- 5.3 Constraints -- 6 Conclusion -- References -- Visual Proofs as Counterexamples to the Standard View of Informal Mathematical Proofs? -- 1 Introduction -- 2 Azzouni's Counterexample to the Standard View -- 3 The Standard View of Mathematical Rigor and Proof -- 4 Mathematicians on Visual Proofs -- 5 Azzouni's Critique Towards the Standard View Revisited -- 5.1 Figure1 and the Corresponding Epistemic Process -- 5.2 Visual Proofs as Counterexamples to the Standard View? -- 6 Conclusion -- References -- Representational Interpretive Structure: Theory and Notation -- 1 Introduction -- 2 Representation Interpretation Theory/Notation - RIST/RISN -- 2.1 Four Schemas -- 2.2 Linking Schemas -- 3 Idioms: Higher-Order Structures -- 3.1 Collections -- 3.2 R-Dimension Idioms -- 3.3 Coordinate Systems -- 4 Diversity of Interpretations -- 5 Discussion -- References -- Mixing Colors, Mixing Logics -- 1 Introduction -- 2 Term Logics -- 3 Mixing Colors, Mixing Logics -- 4 Conclusions -- References -- Normatively Determined Propositions -- 1 Introduction -- 2 Formal Setting. ; 3 Geometrical Representations -- 4 Final Remarks -- References -- A Diagram Must Never Be Ten Thousand Words: Text-Based (Sentential) Approaches to Diagrams Accessibility Limit Users' Potential for Normative Agency -- 1 Introduction -- 2 Diagrammatic Representation and "Free Rides" -- 3 Accessibility Issues of Diagrams -- 4 Relationships of Constraints, Possibilities for Action, and Connections with Human Rights -- 5 Providing Normative Agency with Accessible Diagram Design -- 6 Conclusion -- References -- History -- Combing Graphs and Eulerian Diagrams in Eristic -- 1 Introduction -- 2 Current Research Results and Problems -- 3 Graph Theory -- 4 Interpretations and Discussion -- 5 An Example of a Controversy -- 6 Summary and Outlook -- References -- Taming the Irrational Through Musical Diagrams - from Boethius to Oresme and Nemorarius -- 1 Ratios, Measuring Intervals and Proportions -- 2 Epimoric Ratios as a Measure for Musical Intervals -- 3 Boethius Triangles and Nemorarius Webs -- 4 Geometric Division of the Pythagorean Tetraktys in Theory and Practice -- 5 Conclusion -- References -- A Database of Aristotelian Diagrams: Empirical Foundations for Logical Geometry -- 1 Introduction -- 2 Background and Motivation -- 3 Methodological and Technical Aspects -- 4 New and Future Research Directions -- References -- Origami and the Emergence of Hybrid Diagrams -- 1 Origami and Diagrams -- 2 Semiotic Representation in Mathematical Thinking -- 3 The Emergence of Hybrid Diagrams -- 3.1 The Mathematical Activity -- 3.2 The Work of Two Groups -- 3.3 Conclusions -- References -- On Lambert Quadrilaterals and Why They Cannot Be Diagrams (According to Lambert) -- 1 Introduction -- 2 Lambert's Methodological Remarks on Geometrical Diagrams -- 3 Lambert Quadrilaterals Versus Geometrical Diagrams -- 4 Lambert Quadrilaterals as Symbolic Knowledge -- 5 Conclusion. ; References -- Cognition and Diagrams -- Euler vs Hasse Diagrams for Reasoning About Sets: A Cognitive Approach -- 1 Introduction -- 2 Background -- 3 Related Work -- 4 Approach -- 4.1 Working Example -- 4.2 Enactive Observation in Hasse Diagrams -- 4.3 Enactive Observation in Euler Diagrams -- 5 Discussion -- 6 Conclusions and Future Work -- References -- Evaluating Colour in Concept Diagrams -- 1 Introduction -- 2 A Brief Introduction to Concept Diagrams -- 3 Study Design -- 3.1 Information to be Conveyed -- 3.2 Colour Treatments -- 3.3 Training Diagrams and Explanations -- 3.4 Learning Effect Questions -- 3.5 Performance Phase Questions -- 3.6 Data Collection Method -- 3.7 Statistical Analysis Method -- 4 Study Execution and Statistical Analysis -- 4.1 Pilot Study -- 4.2 Main Study -- 5 Discussion -- 6 Conclusion -- References -- Tables as Powerful Representational Tools -- 1 Introduction -- 2 Tables and Their Features -- 3 Access to Global Information -- 4 Information Retrieval -- 5 Visualization of Relational Structure and Patterns -- 6 Operations on Tables -- 7 Tabular Manipulations of Structured Notations -- 8 Operations on Infinite Tables -- 9 Discussion -- References -- Why Scholars Are Diagramming Neural Network Models -- 1 Introduction -- 2 Background -- 2.1 Neural Models -- 2.2 Mental Models and Mental Operations for NN Diagrams -- 3 Diagram Content Relates to Conceptual Models -- 3.1 Heterogeneity in Representation -- 3.2 NN Models, Mental Models, Conceptual Models and Diagrams -- 4 Conclusion -- References -- A Formal Model of Aspect Shifting: The Case of Dot Diagrams -- 1 Introduction -- 2 Representation Systems -- 3 Modeling Aspect Shifting -- 4 Modeling Aspect Integration -- 5 Conclusion -- References -- How to Visually Represent Structure -- 1 Introduction -- 2 The Golden Rule of Iconic Representation. ; 3 Mechanisms of Structural Representation -- 3.1 Intrinsic and Extrinsic Mechanisms -- 3.2 Recursion for Higher Order Representation -- 4 A Simple Example -- References -- Aspect Shifting in Aristotelian Diagrams -- 1 Introduction -- 2 Aspect Shifting with Aristotelian (sub)diagrams -- 3 Conclusion -- References -- Epistemic Roles of Diagrams in Short Proofs -- 1 Introduction -- 2 Methods and Materials -- 2.1 Preparing the Corpus -- 2.2 Coding and Categorization -- 3 Types and Uses of Diagrams in Short Proofs -- 4 Epistemic Roles of Diagrams -- 4.1 Case Study 1 -- 4.2 Case Study 2 -- 5 The Epistemic Role of Diagrams in Short Proofs -- References -- Diagrams and Applications -- Ancillary Diagrams: A Substitute for Text in Multimedia Resources? -- 1 Introduction -- 1.1 An Example -- 2 Representations -- 2.1 External Versus Internal Representations -- 2.2 Descriptive Versus Depictive Representations -- 2.3 Reconciling Representations: Processing Implications -- 3 Constructing a Mental Model: Diagrams Instead of Text? -- 4 Repurposing Multimedia's Text Components -- 5 Ancillary Diagrams: Animated Alternatives -- 6 Discussion and Conclusion -- References -- Diagrams for Learning to Lead in Salsa Dancing -- 1 Introduction -- 2 About Functions of Diagrams in Dance -- 3 Learning to Lead in Advanced Salsa Dancing -- 4 An Existing Notational Scheme for Salsa Positions -- 5 Analyzing the Diagrammatical Scheme -- 6 Enlarging the Set of Salsa Positions -- 7 Characterizing Genuine Salsa Moves -- 8 Directions for Future Research -- References -- The Use of Diagrams in Planning for Report Writing -- 1 Introduction -- 2 Method -- 3 Results and Discussion -- 3.1 Students' Ability to Create Diagrammatic Plans -- 3.2 Views About Plan Construction -- 3.3 Qualitative Differences Between Diagram and Text Plans. ; 3.4 Differences Between Reports Constructed with Diagram and Text Plans -- 3.5 Factors that Influenced Students' Decisions on Planning Methods to Use -- 3.6 Conclusion -- References -- Logical Diagrams -- From Euler Diagrams to Aristotelian Diagrams -- 1 Introduction -- 2 Motivating Example and Theoretical Background -- 3 The Seven Euler Diagrams for Two Sets and Their Corresponding Aristotelian Diagrams -- 4 Discussion and Future Research -- References -- Visualizing Polymorphisms and Counter-Polymorphisms in S5 Modal Logic -- 1 Introduction -- 2 Modal Formulas as Operations on Cubes -- 3 Modal Formulas as Relations on Cubes -- 4 Ratsa's Relations -- 5 Polymorphisms and Counter-Polymorphisms -- 6 Diagrams for Polymorphisms and Counter-Polymorphisms on A1 -- 7 Ratsa's Alleged Exclusive Polymorphism -- 8 Moody Truth-Functions -- 9 Conclusion -- References -- Representing Formulas of Propositional Logic by Cographs, Permutations and Tables -- 1 Introduction -- 2 Formation Trees -- 3 Graphs, Permutations and T-tables -- 4 Summary and Conclusion -- References -- The Notion of Diagrammatic Isomorphism in Venn-Peirce Diagrams -- 1 Historical Preliminaries -- 2 Venn-Peirce Diagrams for Syllogisms -- 2.1 On Diagrammatic Congruence -- 2.2 Diagrammatic Isomorphism (DI) -- 3 Beyond Validity and Invalidity -- 4 Concluding Remarks -- References -- Generalizing Aristotelian Relations and Diagrams -- 1 Introduction -- 2 The Traditional Aristotelian Relations -- 3 Generalizing the Aristotelian Relations and Squares -- 3.1 Generalized Aristotelian Relations -- 3.2 Generalized Squares of Opposition -- 4 The Generalization is a Proper Generalization -- 4.1 Generalized Relations and Relations Between Disjunctions -- 4.2 Generalized Relations and Sets of Traditional Relations -- 5 Using the Generalized Relations to Classify Traditional Diagrams. ; 5.1 Jacoby-Sesmat-Blanché hexagons.
• Sommario/riassunto: 8 chapters are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
• Titolo autorizzato: Diagrammatic Representation and Inference
• ISBN: 9783031151460; 3031151461
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910592979903321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Artificial Intelligence, . 2945-9141 ; ; 13462