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2010 | OriginalPaper | Buchkapitel
The Foundations of Projective Geometry in Italy
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Italian views on the foundations of projective geometry were divided between the school of Giuseppe Peano on the one hand, and that of Corrado Segre on the other. Peano, supported by Mario Pieri, adhered to a rigorous formal approach written in a dry artificial language and restricted for pedagogic reasons to 3 dimensions; Segre and Federigo Enriques were less precise but wished to promote the projective geometry of
n
dimensions, following the example of Giuseppe Veronese, who had earlier shown how to use the method of projection and section to resolve the singularities of some algebraic surfaces.