Cesare Burali-Forti
Encyclopedia
Cesare Burali-Forti was an Italian
mathematician
.
He was born in Arezzo
, and was an assistant of Giuseppe Peano
in Turin
from 1894 to 1896, during which time he discovered what came to be called the Burali-Forti paradox
of Cantorian
set theory
. He died in Turin.
Italy
Italy , officially the Italian Republic languages]] under the European Charter for Regional or Minority Languages. In each of these, Italy's official name is as follows:;;;;;;;;), is a unitary parliamentary republic in South-Central Europe. To the north it borders France, Switzerland, Austria and...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
He was born in Arezzo
Arezzo
Arezzo is a city and comune in Central Italy, capital of the province of the same name, located in Tuscany. Arezzo is about 80 km southeast of Florence, at an elevation of 296 m above sea level. In 2011 the population was about 100,000....
, and was an assistant of Giuseppe Peano
Giuseppe Peano
Giuseppe Peano was an Italian mathematician, whose work was of philosophical value. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation. The standard axiomatization of the natural numbers is named the Peano axioms in...
in Turin
Turin
Turin is a city and major business and cultural centre in northern Italy, capital of the Piedmont region, located mainly on the left bank of the Po River and surrounded by the Alpine arch. The population of the city proper is 909,193 while the population of the urban area is estimated by Eurostat...
from 1894 to 1896, during which time he discovered what came to be called the Burali-Forti paradox
Burali-Forti paradox
In set theory, a field of mathematics, the Burali-Forti paradox demonstrates that naively constructing "the set of all ordinal numbers" leads to a contradiction and therefore shows an antinomy in a system that allows its construction...
of Cantorian
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets,...
set theory
Set theory
Set theory is the branch of mathematics that studies sets, which are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics...
. He died in Turin.
Books by C. Burali-Forti
- Analyse vectorielle générale: Applications à la mécanique et à la physique. with R. Marcolongo (Mattéi & co., Pavia, 1913)
- Corso di geometria analitico-proiettiva per gli allievi della R. Accademia Militare (G. B. Petrini di G. Gallizio, Torino, 1912)
- Geometria descrittiva (S. Lattes & c., Torino, 1921)
- Introduction à la géométrie différentielle, suivant la méthode de H. Grassmann (Gauthier-Villars,1897)
- Lezioni Di Geometria Metrico-Proiettiva (Fratelli Bocca, Torino, 1904)
- Meccanica razionale with Tommaso Boggio (S. Lattes & c.,Torino, 1921)