Ma, Minghui (Author)
Pietarinen, Ahti-Veikko (Author)
Archive for History of Exact Sciences
Volume: 76
Issue: 3
Pages: 261-317
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 We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content.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.
...MoreSimilar Citations
Article
Jeoffrey Gaspard;
(2021)
“A familiar logical triplet”: on Peirce’s grammar of representation and its relation to scientific inquiry
(/isis/citation/CBB856081407/)
Article
Tugnoli Pàttaro, Sandra;
(2010)
Alle origini della semiotica: Lady Victoria Welby corrispondente di Charles S. Peirce
(/isis/citation/CBB001034882/)
Chapter
Haaparanta, Leila;
(2009)
The Relations between Logic and Philosophy, 1874--1931
(/isis/citation/CBB001210347/)
Article
Ramhartera, Esther;
Gottschalla, Christian;
(2011)
Peirce's Search for a Graphical Modal Logic (Propositional Part)
(/isis/citation/CBB001210986/)
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/)
Book
Forster, Paul;
(2011)
Peirce and the Threat of Nominalism
(/isis/citation/CBB001210617/)
Article
Elodie Cassan;
(2021)
A New Logic: Bacon’s Novum Organum
(/isis/citation/CBB091593241/)
Article
Jean-Marie Chevalier;
(2016)
La logique est-elle une science de classification? Sur une crise de la classification dans la logique au xixe siècle
(/isis/citation/CBB050633922/)
Article
Francesco Bellucci;
(2015)
Neat, Swine, Sheep, and Deer: Mill and Peirce on Natural Kinds
(/isis/citation/CBB590791562/)
Article
Campos, Daniel G.;
(2011)
On the Distinction between Peirce's Abduction and Lipton's Inference to the Best Explanation
(/isis/citation/CBB001211461/)
Article
Daude, Olivier;
(2011)
Le pragmaticisme et la question du témoignage
(/isis/citation/CBB001024474/)
Article
Dea, Shannon;
(2006)
“Merely a veil over the living thought”: Mathematics and Logic in Peirce's Forgotten Spinoza Review
(/isis/citation/CBB001023424/)
Thesis
David E. Dunning;
(2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937
(/isis/citation/CBB517005733/)
Article
Campos, Daniel G.;
(2007)
Peirce on the Role of Poietic Creation in Mathematical Reasoning
(/isis/citation/CBB001023426/)
Book
John J. Stuhr;
(2022)
No Professor's Lectures Can Save Us: William James's Pragmatism, Radical Empiricism, and Pluralism
(/isis/citation/CBB512993699/)
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/)
Thesis
Brady, Michael;
(2013)
Evolution and the Transformation of American Philosophy
(/isis/citation/CBB001567439/)
Chapter
Hookway, Christopher;
(2000)
Pragmatism: Commonsense and the Limits of Science
(/isis/citation/CBB000470112/)
Be the first to comment!