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

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4.5 FREGE: ARITHMETIC AS LOGIC

The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.

Frege, after 1879 (Frege Manuscripts, 2.)

4.5.1 Frege and Frege′. The position of Frege in this story is rather strange, and often misrepresented; so, unusually, we have to begin after his end. Much commentary is available on an analytic philosopher of language writing in English about meaning and its meaning(s), and putting forward some attendant philosophy of mathematics. The historical record, however, reveals a different figure: Gottlob Frege (1848–1925), a mathematician who wrote in German, in a markedly Platonic spirit, principally on the foundations of arithmetic and on ...

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