Article ID: CBB399393209

Peirce’s Dragon-Head Logic (R 501, 1901) (2022)


Peirce wrote in late 1901 a text on formal logic using a special Dragon-Head and Dragon-Tail notation in order to express the relation of logical consequence and its properties. These texts have not been referred to in the literature before. We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content. In the reconstructed text, Peirce is seen to outline both a general theory of deduction and a general theory of consequence relation. The two are the cornerstones of modern logic and have played a crucial role in its development. From the wider perspective, Peirce is led to these theories by three important generalizations: propositions to all signs, truth to scriptibility, and derivation to transformability. We provide an exposition of such proposed semiotic foundation for logical constants and point out a couple of further innovations in this rare text, including the sheet of assertion, correction as a dual of deduction and the nature of conditionals as variably strict conditionals.

Citation URI

Similar Citations

Article Tugnoli Pàttaro, Sandra; (2010)
Alle origini della semiotica: Lady Victoria Welby corrispondente di Charles S. Peirce (/isis/citation/CBB001034882/)

Book Forster, Paul; (2011)
Peirce and the Threat of Nominalism (/isis/citation/CBB001210617/)

Article Ramhartera, Esther; Gottschalla, Christian; (2011)
Peirce's Search for a Graphical Modal Logic (Propositional Part) (/isis/citation/CBB001210986/)

Chapter Haaparanta, Leila; (2009)
The Relations between Logic and Philosophy, 1874--1931 (/isis/citation/CBB001210347/)

Chapter Hilpinen, Risto; (2009)
Conditional and Possible Worlds: On C. S. Pierce's Conception of Conditionals and Modalities (/isis/citation/CBB001210353/)

Article Francesco Bellucci; (2015)
Logic, Psychology, and Apperception: Charles S. Peirce and Johann F. Herbart (/isis/citation/CBB115765207/)

Article Elodie Cassan; (2021)
A New Logic: Bacon’s Novum Organum (/isis/citation/CBB091593241/)

Article Daude, Olivier; (2011)
Le pragmaticisme et la question du témoignage (/isis/citation/CBB001024474/)

Article Campos, Daniel G.; (2011)
On the Distinction between Peirce's Abduction and Lipton's Inference to the Best Explanation (/isis/citation/CBB001211461/)

Article Francesco Bellucci; (2015)
Neat, Swine, Sheep, and Deer: Mill and Peirce on Natural Kinds (/isis/citation/CBB590791562/)

Article Campos, Daniel G.; (2007)
Peirce on the Role of Poietic Creation in Mathematical Reasoning (/isis/citation/CBB001023426/)

Thesis David E. Dunning; (2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937 (/isis/citation/CBB517005733/)

Article Pihlström, Sami; (2008)
How (Not) to Write the History of Pragmatist Philosophy of Science? (/isis/citation/CBB000831774/)

Article Atkins, Richard Kenneth; (2006)
Restructuring the Sciences: Peirce's Categories and His Classifications of the Sciences (/isis/citation/CBB001023423/)

Chapter Hookway, Christopher; (2000)
Pragmatism: Commonsense and the Limits of Science (/isis/citation/CBB000470112/)

Thesis Brady, Michael; (2013)
Evolution and the Transformation of American Philosophy (/isis/citation/CBB001567439/)

Authors & Contributors
Campos, Daniel G.
Bellucci, Francesco
Hookway, Christopher
Pihlström, Sami
Atkins, Richard Kenneth
Dea, Shannon
Transactions of the Charles S. Peirce Society
Perspectives on Science
Journal Electronique d'Histoire des Probabilités et de la Statistique
Archives Internationales d'Histoire des Sciences
History and Philosophy of Logic
Cambridge University Press
Southern Illinois University at Carbondale
Oxford University Press
Princeton University
Pragmatism; instrumentalism
Philosophy of science
Peirce, Charles Sanders
Dewey, John
James, William
Frege, Gottlob
Spinoza, Baruch
Welby, Victoria
Time Periods
19th century
20th century, early
20th century
17th century
United States
North America

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment