Article ID: CBB001213915

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

unapi

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
Aud Sissel Hoel
Cristalli, Claudia
Gaspard, Jeoffrey
Dunning, David E.
Concepts
Logic
Philosophy
Mathematics
Diagrams
Visual representation; visual communication
Explanation; hypotheses; theories
Time Periods
19th century
20th century, early
20th century
Places
United States
North America
Europe
Institutions
Search for Extraterrestrial Intelligence (SETI) (Study group: U.S.)
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