The general method which guides our handling of logical symbols is due to Peano. We have avoided both controversy and general philosophy, and made our statements dogmatic in form Indeed their definition of natural numbers was essentially that of Frege, but unlike him, they opted to avoid the philosophical aspects and justifications. Their approach was essentially that of Frege, to define mathematical entities, like numbers, in pure logic and then derive their fundamental properties.
However they opted for the more modern notation of Peanoįilled three volumes, almost 2,000 pages, and appeared in the years 1910-1913. The seamless development of mathematics from a few clearly stated axioms and rules of inference in pure logic. Russell and Whitehead, who started their joint work on foundations in 1900, would This led to his discovery of the famous contradiction in Frege's system in June, 1901, while writing his And, starting in 1900, he was studying the Russell met Peano at the 1900 International Congress of Mathematicians in Paris, and was captivated by Peano's work on foundations. Principia Mathematica: Whitehead and Russell 20).Principia Mathematica: Whitehead and Russell Previous: "Whether they know it or not, all modern logicians are the heirs of Whitehead and Russell" (Palgrave, p. Probably named after Isaac Newton's great work, "Principia Mathematica was Whitehead and Russell s detailed account of their logicist thesis that mathematics could be derived solely from logical concepts and by logical methods has had an influence, direct and indirect, of near Newtonian proportions upon the spheres of its chief influence: mathematical logic, set theory, the foundations of mathematics, linguistic analysis and analytical philosophy" (Grattan-Guinness, p. Near fine in rare original price-clipped dust jackets which are in very good condition. The work was originally published in 1910, 1912, and 1913 and appeared in a second edition with an important Introduction to the Second Edition, an Appendix A that replaced ✸9 and all-new Appendix B and Appendix C. Second edition, early printings of all three volumes of Russell and Whitehead’s monumental work. Item Number: 95199Ĭambridge: Cambridge University Press, 1950.
RUSSELL, Bertrand and Alfred North Whitehead.
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