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The Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 1905-08 by Bertrand Russell (Hardcover, 2014)

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ISBN-13: 9780415820981, 978-0415820981. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. Format: Hardback.

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This volume of Bertrand Russell's Collected Papers finds Russell focused on writing Principia Mathematica during 1905-08. Eight previously unpublished papers shed light on his different versions of a substitutional theory of logic, with its elimination of classes and relations, during 1905-06. A recurring issue for him was whether a type hierarchy had to be part of a substitutional theory. In mid-1907 he began writing up the final version of Principia, now using a ramified theory of types, and eleven unpublished drafts from 1907-08 deal with this. Numerous letters show his thoughts on the process. The volume's 80-page introduction covers the evolution of his logic from 1896 until 1909, when volume I of Principia went to the printer.