Diagrammatic Representation and Inference: 11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24-28, 2020, Proceedings

ISBN-13: 9783030542481 / Angielski / Miękka / 2020 / 554 str.

Ahti-Veikko Pietarinen; Peter Chapman; Leonie Bosveld-de Smet

Spis treści

Diagrams in Mathematics.- On "overspecification" in medieval mathematical diagrams.- Transductive Reconstruction of Hippocrates' Dynamical Geometrical Diagrams.- Counting mathematical diagrams with machine learning.- Modes of continuity in diagram\\ Intermediate Value Theorem.- Modes of diagrammatic reasoning in Euclid's Elements.- A Mentalist Look at Gaussian Clock Arithmetic.- A Diagram of Choice: The Curious Case of Wallis's Attempted Proof of the Parallel Postulate and the Axiom of Choice.- Diagram Design, Principles, and Classfication.- A sketch of a theory and modelling notation for elucidating the structure of representations.- Modality and Uncertainty in Data Visualizations: A Corpus Approach to the Use of Connecting Lines.- Channel-Theoretic Account of the Semantic Potentials of False Diagrams.- Dissecting representations.- Towards Data-Driven Multilinear Metro Maps.- Visualizing Sound, Hearing Diagrams: On the Creative Process of Syrmos by Iannis Xenakis.- String Diagrams for Assembly Planning.- Reasoning with Diagrams.- An Alternative Reformulation of the Transformation Rules in the Beta Part of Peirce's Existential Graphs.- Observational Advantages and Occurrence Referentiality.- The Diagram Puzzle.- The Blot.- Two Implications and Dual-Process Theories of Reasoning.- Euler and Venn Diagrams.- Well-matchedness in Euler and Linear Diagrams.- Intuitionistic Euler-Venn Diagrams.- Schopenhauer Diagrams for Conceptual Analysis.- Euler diagrams for defeasible reasoning.- Empirical Studies and Cognition.- Event unit analysis: A methodology for anticipating processing demands of complex animated diagrams.- Evaluating Visualizations of Sets and Networks that Use Euler Diagrams and Graphs.- Visual causality: investigating the performance of graph layouts for understanding causal processes.- Influence of Shape, Density, and Edge Crossings on the Perception of Graph Differences.- Map or Gantt? Which diagram helps viewers best in spatio-temporal data exploration tasks?.- On effects of changing multi-attribute table design to decision making: An eye tracking study.- Logic and Diagrams.- Using Multigraphs to Study the Interaction between Opposition, Implication and Duality Relations in Logical Squares.- Opposition relations between prophecies.- Compositional Diagrammatic First-Order Logic.- Free Rides in Logical Space diagrams versus Aristotelian diagrams.- Fregean Logical Graphs.- Calculus CL as a Formal System.- Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs.- Posters.- Syllogisms with intermediate quantifiers solved in Marlo logic diagrams.- The Indemonstrables of Chrysippus of Soli in Marlo logical diagrams. Could propositional calculus be nothing but syllogisms?.- `Tokenized' dynamic diagrams: An approach for improving mental model construction?.- Depicting negative information in photographs, videos, and comics: a preliminary analysis.- The Marlo diagram in the classroom.- Strength of Existential Graphs as a logical system.- The Sung Diagram: Revitalizing the Eisenhower Matrix.- Marlo's networks of expectations in the classroom: A tool for heterogeneous reasoning.- Experimenting with diagrams in mathematics.- Historio-graphy.- A Semiotic-Conceptual Analysis of Euler Diagrams and Concept Lattices.- On the shoulders of giants: Colourful argument trees for academic writing.- Beta Assertive Graphs.- Peirce's inclusion diagrams, with application to syllogisms.- The DNA Framework of Visualization.- Imagine a round square.- Visualizing Curricula.- Elucidating the Effects of Diagram Use Training for Math Word Problem Solving.