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 We provide a complete reconstruction and transcription of these previously unpublished sets of manuscript sheets and analyse their main content.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
Chevalier, Jean-Marie
Gaspard, Jeoffrey
John J. Stuhr
Dunning, David E.
Concepts
Philosophy
Logic
Semiotics
Pragmatism; instrumentalism
Philosophy of science
Psychology
Time Periods
19th century
20th century, early
20th century
17th century
Places
United States
North America
Europe
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