Article ID: CBB399393209

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

unapi

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 We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content.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.

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Authors & Contributors
Campos, Daniel G.
Bellucci, Francesco
Hookway, Christopher
Hamilton, Kelly Ann
Bazhanov, Valentin A.
Pihlström, Sami
Journals
Transactions of the Charles S. Peirce Society
Perspectives on Science
Synthese
Science in Context
Journal Electronique d'Histoire des Probabilités et de la Statistique
Archives Internationales d'Histoire des Sciences
Publishers
Cambridge University Press
University of California, Los Angeles
Southern Illinois University at Carbondale
Princeton University
Concepts
Philosophy
Logic
Philosophy of science
Pragmatism; instrumentalism
Mathematics
Semiotics
People
Peirce, Charles Sanders
Dewey, John
James, William
Frege, Gottlob
Wittgenstein, Ludwig
Hertz, Heinrich Rudolph
Time Periods
20th century, early
19th century
20th century
Places
United States
Soviet Union
North America
Europe
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