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

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CHAPTER 2

Preludes: Algebraic Logic and Mathematical Analysis up to 1870

2.1 PLAN OF THE CHAPTER

The story begins in French mathematics and philosophy in the late 18th century: specifically the semiotic ‘logique’ of Condillac and Condorcet and the connections with the algebraic theories, especially the calculus, developed by Lagrange (§2.2). Then it moves to England, for both topics: the adoption of Lagrangian mathematics by Babbage and Herschel, and the revival of logic (although not after the French model) in the 1820s (§2.3). Next come the two principal first founders of algebraic logic, De Morgan and Boole (§2.4–5). The main initial reactions to Boole are described in §2.6.

In a change of topic, §2.7 also starts with the French, but charts ...

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