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Diagrammatic Representation and Inference

11th International Conference, Diagrams 2020, Tallinn, Estonia, August 24–28, 2020, Proceedings

  • Conference proceedings
  • © 2020

Overview

Editors:
  1. Ahti-Veikko Pietarinen

    1. Tallinn University of Technology, Tallinn, Estonia

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  2. Peter Chapman

    1. Edinburgh Napier University, Edinburgh, UK

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  3. Leonie Bosveld-de Smet

    1. University of Groningen, Groningen, The Netherlands

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  4. Valeria Giardino

    1. Université de Lorraine, Nancy, France

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  5. James Corter

    1. Columbia University, New York, USA

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  6. Sven Linker

    1. University of Liverpool, Liverpool, UK

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 12169)

Part of the book sub series: Lecture Notes in Artificial Intelligence (LNAI)

Included in the following conference series:

Conference proceedings info: Diagrams 2020.

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Table of contents (54 papers)

  1. Front Matter

    Pages i-xiii
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  2. Diagrams in Mathematics

    1. Front Matter

      Pages 1-1
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    2. On “Overspecification” in Medieval Mathematical Diagrams

      • Gregg De Young
      Pages 3-9

    3. Transductive Reconstruction of Hippocrates’ Dynamical Geometrical Diagrams

      • Sandra Visokolskis, Evelyn Vargas, Gonzalo Carrión
      Pages 10-25

    4. Counting Mathematical Diagrams with Machine Learning

      • Henrik Kragh Sørensen, Mikkel Willum Johansen
      Pages 26-33

    5. Modes of Continuity in Diagram for Intermediate Value Theorem

      • Piotr Błaszczyk, Marlena Fila
      Pages 34-49

    6. Modes of Diagrammatic Reasoning in Euclid’s Elements

      • Piotr Błaszczyk, Anna Petiurenko
      Pages 50-65

    7. A Mentalist Look at Gaussian Clock Arithmetic

      • Dany Jaspers
      Pages 66-73

    8. A Diagram of Choice: The Curious Case of Wallis’s Attempted Proof of the Parallel Postulate and the Axiom of Choice

      • Valérie Lynn Therrien
      Pages 74-90

  3. Diagram Design, Principles, and Classification

    1. Front Matter

      Pages 91-91
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    2. A Sketch of a Theory and Modelling Notation for Elucidating the Structure of Representations

      • Peter C.-H. Cheng
      Pages 93-109

    3. Modality and Uncertainty in Data Visualizations: A Corpus Approach to the Use of Connecting Lines

      • Verena Elisabeth Lechner
      Pages 110-127Open Access

    4. Channel-Theoretic Account of the Semantic Potentials of False Diagrams

      • Atsushi Shimojima, Dave Barker-Plummer
      Pages 128-143

    5. Dissecting Representations

      • Daniel Raggi, Aaron Stockdill, Mateja Jamnik, Grecia Garcia Garcia, Holly E. A. Sutherland, Peter C.-H. Cheng
      Pages 144-152

    6. Towards Data-Driven Multilinear Metro Maps

      • Soeren Nickel, Martin Nöllenburg
      Pages 153-161

    7. Visualizing Sound, Hearing Diagrams: On the Creative Process of Syrmos by Iannis Xenakis

      • José L. Besada
      Pages 162-166

    8. String Diagrams for Assembly Planning

      • Jade Master, Evan Patterson, Shahin Yousfi, Arquimedes Canedo
      Pages 167-183

  4. Reasoning with Diagrams

    1. Front Matter

      Pages 185-185
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    2. An Alternative Reformulation of the Transformation Rules in the Beta Part of Peirce’s Existential Graphs

      • Shigeyuki Atarashi
      Pages 187-201

    3. Observational Advantages and Occurrence Referentiality

      • Francesco Bellucci, Jim Burton
      Pages 202-215
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  1. Diagrammatic Representation and Inference

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About this book

This book constitutes the refereed proceedings of the 11th International Conference on the Theory and Application of Diagrams, Diagrams 2020, held in Tallinn, Estonia, in August 2020.*

The 20 full papers and 16 short papers presented together with 18 posters were carefully reviewed and selected from 82 submissions. The papers are organized in the following topical sections: diagrams in mathematics; diagram design, principles, and classification; reasoning with diagrams; Euler and Venn diagrams; empirical studies and cognition; logic and diagrams; and posters.

*The conference was held virtually due to the COVID-19 pandemic.

The chapters ‘Modality and Uncertainty in Data Visualization: A Corpus Approach to the Use of Connecting Lines,’ ‘On Effects of Changing Multi-Attribute Table Design on Decision Making: An Eye Tracking Study,’ ‘Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs,’ ‘The DNA Framework of Visualization’ and ‘Visualizing Curricula’ are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Editors and Affiliations

  • Tallinn University of Technology, Tallinn, Estonia

    Ahti-Veikko Pietarinen

  • Edinburgh Napier University, Edinburgh, UK

    Peter Chapman

  • University of Groningen, Groningen, The Netherlands

    Leonie Bosveld-de Smet

  • Université de Lorraine, Nancy, France

    Valeria Giardino

  • Columbia University, New York, USA

    James Corter

  • University of Liverpool, Liverpool, UK

    Sven Linker

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