Cesare Burali-Forti

Cesare Burali-Forti
Born(1861-08-13)13 August 1861
Died21 January 1931(1931-01-21) (aged 69)
Known forBurali-Forti paradox
Scientific career
FieldsMathematics

Cesare Burali-Forti (13 August 1861 – 21 January 1931) was an Italian mathematician, after whom the Burali-Forti paradox is named.[1] He was a prolific writer, with 200 publications.[2]

Biography

Burali-Forti was born in Arezzo, and he obtained his degree from the University of Pisa in 1884.[3] In 1886, after two years of middle-school service in Sicily, Burali-Forti won a competition to become professor of analytic and projective geometry at the military academy in Turin.[4] He was an assistant of Giuseppe Peano in Turin from 1894 to 1896, during which time he discovered a theorem which Bertrand Russell later realised contradicted a previously proved result by Georg Cantor. The contradiction came to be known as the Burali-Forti paradox of Cantorian set theory. He died in Turin.

Family

He married Gemma Viviani on 29 October 1887 and they had a son named Umberto.[1]

Books by C. Burali-Forti

Bibliography

Primary literature in English translation:

  • Jean van Heijenoort, 1967. A Source Book in Mathematical Logic, 1879-1931. Harvard Univ. Press.
    • 1897. "A question on transfinite numbers," 104-11.
    • 1897. "On well-ordered classes," 111-12.

Secondary literature:

References

  1. ^ ab"Burali-Forti". University of St Andrews: Maths History. Retrieved September 22, 2025.
  2. ^"Cesare Burali-Forti's publications". Maths History. Retrieved 2024-02-04.
  3. ^"Burali-Forti, Cesare | Encyclopedia.com". Encyclopedia.com. Retrieved 2024-02-04.
  4. ^Marchisotto, Elena; Smith, James T. (2007). The legacy of Mario Pieri in geometry and arithmetic. Boston, Mass. New York: Birkhäuser Springer [distributor]. p. 69. ISBN 978-0-8176-4603-5.
  5. ^ ab"Burali-Forti, Cesare". University of Pennsylvania, Online Books. Retrieved September 22, 2025.

Further reading