Two dogmas of diagrammatic reasoning: A view from existential graphs

Ahti Veikko Pietarinen*, Francesco Bellucci

*Corresponding author for this work

    Research output: Chapter in book/report/conference proceedingChapterpeer-review

    21 Citations (Scopus)

    Abstract

    The vague notions of “visuality” and “iconicity” are not peculiar to diagrammatic reasoning autonomous from how average human beings happen to reason with logical diagrams. An equally problematic notion is involved in claims that take diagrams to be iconic representations, in the sense in which it is “iconicity” that would distinguish diagrams from whatever other, “non-iconic” notations and languages there may be. A diagram is an object either of perception or of imagination. As a material token, the diagram is a singular object and thereby determined in all respects. The purpose of a diagram is to represent certain relations in such a form that it can be transformed into another form representing other relations involved in those first represented and this transformation can be interpreted in a symbolic statement. Existential Graphs are for Charles Sanders Peirce diagrams that are “as iconic as possible”, and they are more iconic than, for instance, Entitative Graphs.
    Original languageEnglish
    Title of host publicationPeirce on Perception and Reasoning
    Subtitle of host publicationFrom Icons to Logic
    EditorsKathleen A. Hull, Richard Kenneth Atkins
    PublisherTaylor and Francis
    Chapter13
    Pages174-195
    Number of pages22
    Edition1st
    ISBN (Electronic)9781315444635, 9781315444642
    ISBN (Print)9781138215016, 9780367372408
    DOIs
    Publication statusPublished - 27 Mar 2017

    Scopus Subject Areas

    • Arts and Humanities(all)

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