Diagrammatic Reasoning: Some Notes on Charles S. Peirce and Friedrich A. Lange

History and Philosophy of Logic 34 (4):293 - 305 (2013)
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Abstract

According to the received view, Charles S. Peirce's theory of diagrammatic reasoning is derived from Kant's philosophy of mathematics. For Kant, only mathematics is constructive/synthetic, logic being instead discursive/analytic, while for Peirce, the entire domain of necessary reasoning, comprising mathematics and deductive logic, is diagrammatic, i.e. constructive in the Kantian sense. This shift was stimulated, as Peirce himself acknowledged, by the doctrines contained in Friedrich Albert Lange's Logische Studien (1877). The present paper reconstructs Peirce's reading of Lange's book, and illustrates what, according to Peirce, was right and what was problematic in Lange's account of reasoning. It further seeks to explain how Peirce's theory of deductive reasoning was a combination of Kant's philosophy of mathematics and Lange's philosophy of logic

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Author's Profile

Francesco Bellucci
University of Bologna

References found in this work

Kritik der reinen Vernunft.Immanuel Kant - 2020 - Walter de Gruyter GmbH & Co KG.
An Investigation of the Laws of Thought.George Boole - 1854 - [New York]: Dover Publications.
Peirce.Christopher Hookway - 1985 - New York: Routledge. Edited by Ted Honderich.
Annotated Catalogue of the Papers of Charles S. Peirce.Richard S. Robin - 1967 - [Amherst] : University of Massachusetts Press.

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