FINE AND RARE BOOKS AND AUTOGRAPHS

1116

Giuseppe PEANO

Mathematical logic. PEANO. Calcolo Geometrico secondo l'Ausdehnungslehre di H. Grossmann preceduto dalla Logica Dedut [..]

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Giuseppe PEANO
Mathematical logic. PEANO. Calcolo Geometrico secondo l'Ausdehnungslehre di H. Grossmann preceduto dalla Logica Dedut [..]
 
PEANO, Giuseppe. Calcolo Geometrico secondo l'Ausdehnungslehre di H. Grossmann preceduto dalla Logica Deduttiva.
Torino, Bocca, 1888

8vo, mm. 250x160; Brochure editoriale; pp. X, [2], 170, [2]. Dorso usurato, per il resto ottimo stato di conservazione, esemplare intonso.

Prima edizione, opera molto importante. Kennedy: “The (unnumbered) chapter on the ‘operations of deductive logic’ that opens the book is Peano’s first publication in mathematical logic. It is based on his study of E. Schröder, G. Boole, C. S. Peirce, and others. Although he says that “several of the notations introduced here are used in the geometrical calculus”, this part of the book actually has very little connection with what follows. His interest seems to be prompted by the analogy with the operations of algebra and geometrical calculus that is presented by the operations of mathematical logic … The main part of the book, the geometrical calculus, is, by contrast, a polished work. It was already preceded by his Applicazioni geometriche, which used the notions of Möbius, Bellavitis, Hamilton, and Grassmann. He then decided that the methods of Grassmann were superior, this book resulting from his reworking of Grassmann’s Ausdehnungslehre. Peano made no claim to originality for the ideas contained in it, but there can be no doubt that the extreme clarity of his presentation, in contrast with the notorious difficulty of reading Grassmann’s work, helped to spread Grassmann’s ideas and make them more popular.” 

thu 25 June 2020
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