Giuseppe Peano: a Revolutionary in Symbolic Logic?
In this paper I consider Peano’s main mathematical concerns in the 1880s, and the relations between them. I shall propose that he had a sort of magical moment that led him to create his mathematical logic, but also that he was obscure, or at least unclear, about one of the major attendant changes in thought. The material covered is summarised historically in Grattan-Guinness (2000, especially chs. 2, 4 and 5), and treated in more detail in various works cited there.
KeywordsMathematical Logic Traditional Theory Algebraic Logic Short Book Constituent Proposition
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- 4.The English translation of the book on Grassmann renders at one point Peano’s ‘nullo’ (G. Peano 1888a, 18) as ‘the empty set’ (L.C. Kannenberg 2000, 14), which is surely far too Cantorian. Note also ‘nulla’ as ‘empty’ at G. Peano (1888a), L.C. Kannenberg (2000), 2.Google Scholar
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