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- W2565255627 abstract "In this paper I first examine the critical factors that are essential to understanding why Charles Peirce turned to matrices in 1882, twelve years after the algebra he had developed in his 1870 paper could be realized as a quaternion algebra. I shall argue that these factors were the creative influence of Peirce’s friend and colleague, William Kingdon Clifford (1845–1879) in the years prior to 1882, and the setting in 1879–1882 when Peirce and Sylvester were together at JHU. Then I shall demonstrate that Peirce, not Sylvester, deserves the recognition for being the first of the two to show that every associative algebra can be represented by a matrix. [This paper has its roots in Anellis and Abeles, “The Historical Sources of Tree Graphs and the Tree Method in the Work of Peirce and Gentzen” in Modern Logic 1850–1950, East and West, pp. 35-97. Studies in Universal Logic. Birkhauser, Basel, 2016]" @default.
- W2565255627 created "2017-01-06" @default.
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- W2565255627 date "2016-01-01" @default.
- W2565255627 modified "2023-09-27" @default.
- W2565255627 title "Clifford and Sylvester on the Development of Peirce’s Matrix Formulation of the Algebra of Relations, 1870–1882" @default.
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- W2565255627 doi "https://doi.org/10.1007/978-3-319-46615-6_7" @default.
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