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The Search for Mathematical Roots, 1870-1940 by I. Grattan-Guinness

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CHAPTER 8

The Influence and Place of Logicism, 1910–1930

8.1 PLANS FOR TWO CHAPTERS

The reception of PM from its publication to around 1940 is covered in this and the next chapters, with the break coming around 1930. There was a wide range of reactions both to the logical calculus of PM and to logicism; some striking similarities arose from different backgrounds. I associate each main philosophy with a ‘school’, in contrast to the ‘traditions’ of algebraic and mathematical logics.

This chapter falls into two roughly equal parts, with Anglo-Saxon attitudes followed by reactions elsewhere. §8.2 surveys Whitehead’s and Russell’s very different transitions from logic to philosophy till around 1916. Whitehead did not adopt empiricism, but Russell’s ...

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