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

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


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



    Upload a copy of this work     Papers currently archived: 91,202

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Renovating Philosophical Practice through Diagrammatic Reasoning.Rocco Gangle - 2008 - Proceedings of the Xxii World Congress of Philosophy 4:47-52.
Friedrich Albert Lange.Nadeem J. Z. Hussain & Lydia Patton - 2012 - The Stanford Encyclopedia of Philosophy.
Reasoning and the logic of things: the Cambridge conferences lectures of 1898.Charles Sanders Peirce - 1992 - Cambridge, Mass.: Harvard University Press. Edited by Kenneth Laine Ketner.
A Diagrammatic Calculus of Syllogisms.Ruggero Pagnan - 2012 - Journal of Logic, Language and Information 21 (3):347-364.
A Diagrammatic Inference System with Euler Circles.Koji Mineshima, Mitsuhiro Okada & Ryo Takemura - 2012 - Journal of Logic, Language and Information 21 (3):365-391.
Three Notes on the Editing of the Works of Charles S. Peirce.Edward C. Moore & Arthur W. Burks - 1992 - Transactions of the Charles S. Peirce Society 28 (1):83 - 106.
The Tinctures and Implicit Quantification over Worlds.Jay Zeman - 1997 - In Paul Forster & Jacqueline Brunning (eds.), The Rule of Reason: The Philosophy of C.S. Peirce. University of Toronto Press. pp. 96-119.
Peirce on the role of poietic creation in mathematical reasoning.Daniel G. Campos - 2007 - Transactions of the Charles S. Peirce Society 43 (3):470 - 489.


Added to PP

41 (#368,129)

6 months
7 (#339,156)

Historical graph of downloads
How can I increase my downloads?

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.

View all 23 references / Add more references