Francesco Paolo Cantelli
Encyclopedia
Francesco Paolo Cantelli (20 December 1875, Palermo
21 July 1966, Rome
) was an Italian
mathematician
. He was the founder of the Istituto Italiano degli Attuari for the applications of mathematics
and probability
to economics
.
His early papers were on problems in astronomy
and celestial mechanics
.
The later work was all on probability
and it is in this field where his name graces the Borel–Cantelli lemma and the Glivenko–Cantelli theorem.
A fair evaluation of the importance of Cantelli's role is clouded by the cultural differences that separated him from Kolmogorov, who represented a younger generation, and even from his contemporaries.
Palermo
Palermo is a city in Southern Italy, the capital of both the autonomous region of Sicily and the Province of Palermo. The city is noted for its history, culture, architecture and gastronomy, playing an important role throughout much of its existence; it is over 2,700 years old...
21 July 1966, Rome
Rome
Rome is the capital of Italy and the country's largest and most populated city and comune, with over 2.7 million residents in . The city is located in the central-western portion of the Italian Peninsula, on the Tiber River within the Lazio region of Italy.Rome's history spans two and a half...
) was an Italian
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 the founder of the Istituto Italiano degli Attuari for the applications of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
and probability
Probability
Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we arenot certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The...
to economics
Economics
Economics is the social science that analyzes the production, distribution, and consumption of goods and services. The term economics comes from the Ancient Greek from + , hence "rules of the house"...
.
His early papers were on problems in astronomy
Astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
and celestial mechanics
Celestial mechanics
Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects. The field applies principles of physics, historically classical mechanics, to astronomical objects such as stars and planets to produce ephemeris data. Orbital mechanics is a subfield which focuses on...
.
The later work was all on probability
Probability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...
and it is in this field where his name graces the Borel–Cantelli lemma and the Glivenko–Cantelli theorem.
A fair evaluation of the importance of Cantelli's role is clouded by the cultural differences that separated him from Kolmogorov, who represented a younger generation, and even from his contemporaries.