Cesare Burali-Forti

Burali-Forti

Cesare Burali-Forti (born August 13, 1861 in Arezzo , † January 21, 1931 in Turin , Italy ) was an Italian mathematician and logician from the group around Giuseppe Peano . From 1895 to 1908 he worked significantly on the five-volume work Formulaire de mathématiques published by Peano , which was very important for the further development of formal logic. Peano's ideas on mathematical logic were described by him in a generally understandable form in the book Logica mathematica , which appeared in 1894. He worked in the Mathematics Faculty of the University of Turin for much of his academic career . He was best known through the discovery of the Burali-Forti paradox in 1897 , which arises when the set of all ordinal numbers is formed.

With Tommaso Boggio he published a monograph on theoretical mechanics and in 1924 an (unsuccessful) attempt at an invariant formulation of the theory of curved spaces, which also attacked the general theory of relativity.

The asteroid (17891) Buraliforti was named after him in 2001.

Works

• Logica mathematica , Milan 1894
• Introduction à la géométrie différentielle, suivant la méthode de H. Grassmann (Gauthier-Villars, 1897)
• A question on transfinite numbers (1897), published. in Jean van Heijenoort , 1967. A Source Book in Mathematical Logic, 1879-1931 . Harvard Univ. Press.
• On well-ordered classes , (1897), published. in Jean van Heijenoort , 1967. A Source Book in Mathematical Logic, 1879-1931 . Harvard Univ. Press.
• Lezioni Di Geometria Metrico-Proiettiva (Fratelli Bocca, Torino, 1904)
• Corso di geometria analitico-proiettiva per gli allievi della R. Accademia Militare (GB Petrini di G. Gallizio, Torino, 1912)
• Analysis vectorielle générale: Applications à la mécanique et à la physique with R. Marcolongo (Mattéi & co., Pavia, 1913)
• Geometria descrittiva (S. Lattes & c., Torino, 1921)
• Meccanica razionale with Tommaso Boggio (S. Lattes & c., Torino, 1921)
• with T. Boggio: Espaces courbes. Critique de la Relativité , 1924