Sold by Athena Rare Books ABAA, Fairfield, CT, U.S.A.
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AbeBooks Seller since 24 January 2003
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American Journal of Mathematics, Volume III, Issue Number I. [15]-57, Quarto, 9½" x 12", First Edition Offprint (Ketner P00167).The Rare Offprint of On the Algebra of Logic.In his 1880 paper On the Algebra of Logic, Peirce made a significant new addition to the theories he had begun exploring in his 1870 Description of a Notation for the Logic of Relatives (offered here separately), detailing the first definitions of logical addition and multiplication suitable for modern Boolean algebra. "These definitions were included… in a section on the logic of non-relative terms, which is often regarded as the first presentation of Boolean algebra in its modern form." (Grattan-Guinness editor, Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Volume 1, p. 608). This expanded Boolean algebra is in turn the basis for logic gates, and hence a basic conceptual building block for today's computers. In that regard, Peirce was almost clairvoyant. In 1886, he wrote a letter to Allan Marquand at Princeton noting in part "I think you should return to the problem, especially as it is by no means hopeless to expect to make a machine for really very difficult mathematical problems. But you would have to proceed step by step. I think electricity would be the best thing to rely on." (Writings of Charles S. Peirce 1884-1886, p. 422) Indeed! Perice's work on the algebra of logic laid the foundation for the development of relational logic, which is now a fundamental part of modern logic; presenting ideas on quantification and relations that were later incorporated into the work of Whitehead and Russell in their landmark Principia Mathematica.NOTE: On the Algebra of Logic lacks the original printed front wrapper. This is common - both Harvard and Brown note the lack of this brief title page ("Reprinted from the American Journal of Mathematics, vol. III") in their copies. [SEE our Catalog 25: Charles Sanders Peirce for a collection of 12 books, journals and offprints by Peirce.] Missing the front cover which, as noted above, is uncommon even the copies found in the finest libraries. Some minor remnants remain along the left edge. Neatly trimmed top and bottom but deckled along the right edge. With several small chips to the preserved rear wrapper. Overall, an excellent copy of this rare and important offprint. ADDITIONAL PHOTOS AVAILABLE UPON REQUEST.
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