Article ID: CBB001213915

Diagrammatic Reasoning: Some Notes on Charles S. Peirce and Friedrich A. Lange (2013)


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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Authors & Contributors
Campos, Daniel G.
Bellucci, Francesco
Shin, Sun-Joo
Brady, Geraldine
Ferriani, Maurizio
Dea, Shannon
Transactions of the Charles S. Peirce Society
History and Philosophy of Logic
Dianoia: Annali di storia della filosofia
Journal Electronique d'Histoire des Probabilités et de la Statistique
Journal of the History of Ideas
Cambridge University Press
Princeton University
Philosophy of science
Explanation; hypotheses; theories
Peirce, Charles Sanders
Frege, Gottlob
Löwenheim, Leopold
Skolem, Thoralf Albert
Venn, John
Spinoza, Baruch
Time Periods
19th century
20th century, early
20th century
United States
North America

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