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The Principles of Mathematics, Russell’s fourth book, was first published in 1903; it was reprinted unchanged in 1937 with a new introduction. The original edition was the first member in one of two series of books that Russell proposed to write during his lifetime. In the first volume of his Autobiography (1967), covering the years 1872 to 1914, he recollected one of the most important days of his life: “I remember a cold bright day in early spring when I walked by myself in the Tiergarten, and made projects of future work. I thought that I would write one series of books on the philosophy of the sciences from pure mathematics to physiology, and another series of books on social questions. I hoped that the two series might ultimately meet in a synthesis at once scientific and practical.My scheme was largely inspired by Hegelian ideas. Nevertheless, I have to some extent followed it in later years, as much at any rate as could have been expected. The moment was an important and formative one as regards my purposes.” The year was 1895, and the city was Berlin, where Russell and his first wife had gone to study German social democracy. In other writings Russell added that the first series of books would begin at a very high level of abstraction and gradually grow more practical, whereas the second set would begin with practical matters and aim at becoming always more abstract; the final volume in each series would then be a similar blend of the practical and the abstract, and thus permit a grand synthesis of the two series in one magnum opus.

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