Ahti Pietarinen

Hong Kong Baptist University, Dept of Religion and Philosophy, Faculty Member

Tallinn University of Technology, Chair of Philosophy; Ragnar Nurkse School of Innovation and Governance; Faculty of Social Sciences, Faculty Member

University of Helsinki, Semiotics, Professor; Research Director

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This is not an official website and may not be used for any bibliometric or review purposes. Research Topics: History and Philosophy of Science; Logic, Language, Cognition, and Computation; Foundations of Scientific Reasoning; Generative AI in Higher Education. Director of the Peirce Research Centre; Research Director of large international research projects (DiaMind: Diagrammatic Mind - Cognitive Aspects of Iconicity; Abduction in the Age of Uncertainty), funded by the Academy of Finland, Estonian Research Council, and others.

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Extensions of Euler Diagrams in Peirce's Four Manuscripts on Logical Graphs

Peirce's manuscript MS 479 (1903) on Euler diagrams was partially printed in the Collected Papers... more Peirce's manuscript MS 479 (1903) on Euler diagrams was partially printed in the Collected Papers in 1933 (CP 4.347-4.371). That transcription omitted some paragraphs, figures and important variants of the main text. Some diagrams were reproduced misleadingly or imprecisely. Another important and unpublished paper (MS 481, 1896) presents a novel extension of Euler's diagrams. Among the discarded pages of a published article MS 1147 (1901) there is a variant on logical graphs with examples of novel extensions of Euler diagrams. MS 855 (1911) contains a draft with existentials and shading. We restore Peirce's original drawings from these four manuscripts and explain their main innovations. Euler diagrams were not designed to reason about relative terms, and Peirce's interest in them was not mathematical application or problem solving but showing the basic elements of syllogistic reasoning.

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