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Principia Mathematica
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==Differences between editions== Apart from corrections of misprints, the main text of PM is unchanged between the first and second editions. The main text in Volumes 1 and 2 was reset, so that it occupies fewer pages in each. In the second edition, Volume 3 was not reset, being photographically reprinted with the same page numbering; corrections were still made. The total number of pages (excluding the endpapers) in the first edition is 1,996; in the second, 2,000. Volume 1 has five new additions: * A 54-page introduction by Russell describing the changes they would have made had they had more time and energy. The main change he suggests is the removal of the controversial axiom of reducibility, though he admits that he knows no satisfactory substitute for it. He also seems more favorable to the idea that a function should be determined by its values (as is usual in modern mathematical practice). * Appendix A, numbered as *8, 15 pages, about the Sheffer stroke. * Appendix B, numbered as *89, discussing induction without the axiom of reducibility. * Appendix C, 8 pages, discussing propositional functions. * An 8-page list of definitions at the end, giving a much-needed index to the 500 or so notations used. In 1962, Cambridge University Press published a shortened paperback edition containing parts of the second edition of Volume 1: the new introduction (and the old), the main text up to *56, and Appendices A and C..
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