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Diagrammatic Representation and Inference

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Cover of 'Diagrammatic Representation and Inference'

Table of Contents

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    Book Overview
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    Chapter 1 On “Overspecification” in Medieval Mathematical Diagrams
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    Chapter 2 Transductive Reconstruction of Hippocrates’ Dynamical Geometrical Diagrams
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    Chapter 3 Counting Mathematical Diagrams with Machine Learning
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    Chapter 4 Modes of Continuity in Diagram for Intermediate Value Theorem
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    Chapter 5 Modes of Diagrammatic Reasoning in Euclid’s Elements
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    Chapter 6 A Mentalist Look at Gaussian Clock Arithmetic
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    Chapter 7 A Diagram of Choice: The Curious Case of Wallis’s Attempted Proof of the Parallel Postulate and the Axiom of Choice
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    Chapter 8 A Sketch of a Theory and Modelling Notation for Elucidating the Structure of Representations
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    Chapter 9 Modality and Uncertainty in Data Visualizations: A Corpus Approach to the Use of Connecting Lines
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    Chapter 10 Channel-Theoretic Account of the Semantic Potentials of False Diagrams
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    Chapter 11 Dissecting Representations
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    Chapter 12 Towards Data-Driven Multilinear Metro Maps
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    Chapter 13 Visualizing Sound, Hearing Diagrams: On the Creative Process of Syrmos by Iannis Xenakis
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    Chapter 14 String Diagrams for Assembly Planning
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    Chapter 15 An Alternative Reformulation of the Transformation Rules in the Beta Part of Peirce’s Existential Graphs
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    Chapter 16 Observational Advantages and Occurrence Referentiality
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    Chapter 17 The Diagram Problem
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    Chapter 18 The Blot
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    Chapter 19 Two Implications and Dual-Process Theories of Reasoning
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    Chapter 20 Well-Matchedness in Euler and Linear Diagrams
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    Chapter 21 Intuitionistic Euler-Venn Diagrams
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    Chapter 22 Schopenhauer Diagrams for Conceptual Analysis
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    Chapter 23 Euler Diagrams for Defeasible Reasoning
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    Chapter 24 Event Unit Analysis: A Methodology for Anticipating Processing Demands of Complex Animated Diagrams
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    Chapter 25 Evaluating Visualizations of Sets and Networks that Use Euler Diagrams and Graphs
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    Chapter 26 Visual Causality: Investigating Graph Layouts for Understanding Causal Processes
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    Chapter 27 Influence of Shape, Density, and Edge Crossings on the Perception of Graph Differences
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    Chapter 28 Map or Gantt? Which Diagram Helps Viewers Best in Spatio-Temporal Data Exploration Tasks?
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    Chapter 29 On Effects of Changing Multi-attribute Table Design on Decision Making: An Eye-Tracking Study
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    Chapter 30 Using Multigraphs to Study the Interaction Between Opposition, Implication and Duality Relations in Logical Squares
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    Chapter 31 Opposition Relations Between Prophecies
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    Chapter 32 Compositional Diagrammatic First-Order Logic
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    Chapter 33 Free Rides in Logical Space Diagrams Versus Aristotelian Diagrams
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    Chapter 34 Fregean Logical Graphs
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    Chapter 35 Calculus CL as a Formal System
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    Chapter 36 Truth Graph: A Novel Method for Minimizing Boolean Algebra Expressions by Using Graphs
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    Chapter 37 Syllogisms with Intermediate Quantifiers Solved in Marlo Logic Diagrams
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    Chapter 38 The Indemonstrables of Chrysippus of Soli in Marlo Logical Diagrams. Could Propositional Calculus Be Nothing but Syllogisms?
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    Chapter 39 ‘Tokenized’ Dynamic Diagrams: An Approach for Improving Mental Model Construction?
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    Chapter 40 Depicting Negative Information in Photographs, Videos, and Comics: A Preliminary Analysis
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    Chapter 41 The Marlo Diagram in the Classroom
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    Chapter 42 Typical Cases Showing the Efficiency of Existential Graphs
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    Chapter 43 The Sung Diagram: Revitalizing the Eisenhower Matrix
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    Chapter 44 Marlo’s Networks of Expectations in the Classroom: A Tool for Heterogeneous Reasoning
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    Chapter 45 Experimenting with Diagrams in Mathematics
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    Chapter 46 Historio-Graphy
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    Chapter 47 A Semiotic-Conceptual Analysis of Euler and Hasse Diagrams
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    Chapter 48 On the Shoulders of Giants: Colourful Argument Trees for Academic Writing
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    Chapter 49 Beta Assertive Graphs
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    Chapter 50 Peirce’s Inclusion Diagrams, with Application to Syllogisms
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    Chapter 51 The DNA Framework of Visualization
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    Chapter 52 Imagine a Round Square
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    Chapter 53 Visualizing Curricula
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    Chapter 54 Elucidating the Effects of Diagram Use Training for Math Word Problem Solving
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Title
Diagrammatic Representation and Inference
Published by
Springer International Publishing, September 2020
DOI 10.1007/978-3-030-54249-8
ISBNs
978-3-03-054248-1, 978-3-03-054249-8
Editors

Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter, Sven Linker

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