A Holey Perspective on Venn Diagrams

Cognitive Science 46 (1):e13073 (2021)
  Copy   BIBTEX

Abstract

When interpreting the meanings of visual features in information visualizations, observers have expectations about how visual features map onto concepts (inferred mappings.) In this study, we examined whether aspects of inferred mappings that have been previously identified for colormap data visualizations generalize to a different type of visualization, Venn diagrams. Venn diagrams offer an interesting test case because empirical evidence about the nature of inferred mappings for colormaps suggests that established conventions for Venn diagrams are counterintuitive. Venn diagrams represent classes using overlapping circles and express logical relationships between those classes by shading out regions to encode the concept of non-existence, or none. We propose that people do not simply expect shading to signify non-existence, but rather they expect regions that appear as holes to signify non-existence (the hole hypothesis.) The appearance of a hole depends on perceptual properties in the diagram in relation to its background. Across three experiments, results supported the hole hypothesis, underscoring the importance of configural processing for interpreting the meanings of visual features in information visualizations.

Similar books and articles

Logic and Visual Information.Eric Hammer - 1995 - CSLI Publications.
On Learning to See Venn Diagrams.Patrick Rardin - 1995 - Teaching Philosophy 18 (3):229-244.
The productive ambiguity of Venn’s three circles.Jens Lemanski & Amirouche Moktefi - 2020 - In Kristof Nyiri, András Benedek & Petra Aczel (eds.), How Images Behave: 9th Budapest Visual Learning Conference, Budapest, 26 November 2020. Hungarian Academy of Sciences. pp. 245-248.
Logical reasoning with diagrams.Gerard Allwein & Jon Barwise (eds.) - 1996 - New York: Oxford University Press.
Diagrams in Biology.Laura Perini - 2013 - The Knowledge Engineering Review 28 (3):273-286.
Lewis Carroll's visual logic.Francine F. Abeles - 2007 - History and Philosophy of Logic 28 (1):1-17.
The Semiotics of Spider Diagrams.James Burton & John Howse - 2017 - Logica Universalis 11 (2):177-204.
Valid Reasoning and Visual Representation.Sun-joo Shin - 1991 - Dissertation, Stanford University
Diagrams as Tools for Scientific Reasoning.Adele Abrahamsen & William Bechtel - 2015 - Review of Philosophy and Psychology 6 (1):117-131.
A Rationale for Teaching Modified Venn Diagrams.Abe Witonsky - 2001 - Teaching Philosophy 24 (2):111-119.
Situation-theoretic account of valid reasoning with Venn diagrams.Sun-Joo Shin - 1996 - In Gerard Allwein & Jon Barwise (eds.), Logical Reasoning with Diagrams. Oxford University Press.
Visualizations of the square of opposition.Peter Bernhard - 2008 - Logica Universalis 2 (1):31-41.
Diagrams and proofs in analysis.Jessica Carter - 2010 - International Studies in the Philosophy of Science 24 (1):1 – 14.

Analytics

Added to PP
2022-01-24

Downloads
288 (#71,161)

6 months
159 (#20,934)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Kevin J. Lande
York University

Citations of this work

No citations found.

Add more citations