Article ID: CBB001210993

Peirce's Truth-Functional Analysis and the Origin of the Truth Table (2012)

unapi

We explore the technical details and historical evolution of Charles Peirce's articulation of a truth table in 1893, against the background of his investigation into the truth-functional analysis of propositions involving implication. In 1997, John Shosky discovered, on the verso of a page of the typed transcript of Bertrand Russell's 1912 lecture on `The Philosophy of Logical Atomism' truth table matrices. The matrix for negation is Russell's, alongside of which is the matrix for material implication in the hand of Ludwig Wittgenstein. It is shown that an unpublished manuscript identified as composed by Peirce in 1893 includes a truth table matrix that is equivalent to the matrix for material implication discovered by John Shosky. An unpublished manuscript by Peirce identified as having been composed in 1883--1884 in connection with the composition of Peirce's `On the Algebra of Logic: A Contribution to the Philosophy of Notation' that appeared in the American Journal of Mathematics in 1885 includes an example of an indirect truth table for the conditional.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB001210993/

Similar Citations

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/)

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

Article Bellucci, Francesco; (2013)
Diagrammatic Reasoning: Some Notes on Charles S. Peirce and Friedrich A. Lange (/isis/citation/CBB001213915/)

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

Article Claudia Cristalli; Ahti-Veikko Pietarinen; (2021)
Abstraction and Generalization in the Logic of Science: Cases from Nineteenth-Century Scientific Practice (/isis/citation/CBB855367059/)

Article Shin, Sun-Joo; (1994)
Peirce and the logical status of diagrams (/isis/citation/CBB000059301/)

Article G. A. Kyriazis; (2021)
On Peirce’s 1878 article ‘The probability of induction’: a conceptualistic appraisal (/isis/citation/CBB796825571/)

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/)

Book Brady, Geraldine; (2000)
From Peirce to Skolem: A Neglected Chapter in the History of Logic (/isis/citation/CBB000102342/)

Article Ferriani, Maurizio; (2002)
Peirce e i diagrammi di Eulero-Venn (/isis/citation/CBB000640762/)

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

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

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

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

Book Shin, Sun-Joo; (2002)
The Iconic Logic of Peirce's Graphs (/isis/citation/CBB000500174/)

Authors & Contributors
Campos, Daniel G.
Bellucci, Francesco
Shin, Sun-Joo
Kyriazis, G. A.
Cristalli, Claudia
Gaspard, Jeoffrey
Journals
Transactions of the Charles S. Peirce Society
History and Philosophy of Logic
Synthese
Journal of the History of Ideas
Journal Electronique d'Histoire des Probabilités et de la Statistique
HOPOS
Publishers
MIT Press
Elsevier/North-Holland
Cambridge University Press
Princeton University
Concepts
Logic
Philosophy
Mathematics
Philosophy of science
Philosophy of mathematics
Explanation; hypotheses; theories
People
Peirce, Charles Sanders
Frege, Gottlob
Lange, Friedrich Albert
Venn, John
Spinoza, Baruch
Skolem, Thoralf Albert
Time Periods
19th century
20th century, early
20th century
Places
United States
North America
Europe
Comments

Be the first to comment!

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

Log in or register to comment