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Changing Images in Mathematics by Amy Dahan Dalmedico, Umberto Bottazini

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Chapter 9 THE CREATION AND PERSISTENCE OF NATIONAL SCHOOLS: THE CASE OF ITALIAN ALGEBRAIC GEOMETRY*

Aldo Brigaglia

 

 

Algebraic geometry, in spite of its beauty and importance, has long been held in disrepute by many mathematicians as lacking of proper foundations. The mathematician who first explores a promising new field is privileged to take a good deal for granted that a critical investigator would feel bound to justify step by step; at times when vast territories are being opened up, nothing could be more harmful to the progress of mathematics than a literal observance of strict standards of rigor. Nor should one forget, when discussing such subjects as algebraic geometry, and in particular the work of the Italian school, that the ...

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