Giuseppe Peano

Italian mathematician (1858–1932)

AI overview

Giuseppe Peano was an Italian mathematician who lived from 1858 to 1932 and made important contributions to mathematical logic and the foundations of mathematics. His work, particularly the Peano axioms, helped establish a rigorous logical framework for understanding numbers and has been fundamental to modern mathematics.

AI-generated from the Wikipedia summary — may contain errors.

Person · Open Library

Born: 1858
Died: 1932
Works: 66

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Music · MusicBrainz

Type: Person
Country: IT
Active from: 1946-02-13

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Recent publications · Crossref

5 total works indexed

Global burden of 369 diseases and injuries in 204 countries and territories, 1990–2019: a systematic analysis for the Global Burden of Disease Study 2019
· 2020 · cited 15,938x
2021 ESC Guidelines for the diagnosis and treatment of acute and chronic heart failure
· 2021 · cited 12,095x
2016 ESC Guidelines for the diagnosis and treatment of acute and chronic heart failure
· 2016 · cited 11,106x
Global, regional, and national incidence, prevalence, and years lived with disability for 354 diseases and injuries for 195 countries and territories, 1990–2017: a systematic analysis for the Global Burden of Disease Study 2017
· 2018 · cited 10,989x
Global Burden of Cardiovascular Diseases and Risk Factors, 1990–2019
· 2020 · cited 10,210x

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Quotes

“Quaestiones, quae ad mathematicae fundamenta pertinent, etsi hisce temporibus a multis tractatae, satisfacienti solutione et adhuc carent. Hic difficultas maxime en sermonis ambiguitate oritur. Quare summi interest verba ipsa, quibus utimur attente perpendere.”
“In every science, after having analysed the ideas, expressing the more complicated by means of the more simple, one finds a certain number that cannot be reduced among them, and that one can define no further. These are the primitive ideas of the science; it is necessary to acquire them through experience, or through induction; it is impossible to explain them by deduction.”
“Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures.”
“Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.”
“1. 0 is a number. 2. The immediate successor of a number is also a number. 3. 0 is not the immediate successor of any number. 4. No two numbers have the same immediate successor. 5. Any property belonging to 0 and to the immediate successor of any number that also has that property belongs to all numbers.”
“1. Zero is a number. 2. The successor of any number is another number. 3. There are no two numbers with the same successor. 4. Zero is not the successor of a number. 5. Every property of zero, which belongs to the successor of every number with this property, belongs to all numbers.”

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Wikidata facts

Instance of: human
Given name: Giuseppe
Gender: male
Citizenship: Kingdom of Italy
Place of death: Turin
Occupation: linguist
Educated at: University of Turin
Employer: University of Turin
Languages spoken: Italian
Native language: Italian
Doctoral advisor: Enrico D'Ovidio
Student of: Angelo Genocchi
Doctoral student: Alessandro Padoa
Field of work: linguistics
Image: Giuseppe Peano.jpg
Residence: Kingdom of Italy

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member of: Accademia Nazionale dei Lincei
date of birth: 1858-08-27
date of death: 1932-04-20
Commons category: Giuseppe Peano
Commons Creator page: Giuseppe Peano
Commons gallery: Giuseppe Peano
name in native language: Giuseppe Peano
manner of death: natural causes
cause of death: myocardial infarction
influenced by: Euclid
maintained by WikiProject: WikiProject Mathematics
relative: Luigi Crosio

Sources (5)

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~11 min read

Encyclopedic overview

Giuseppe Peano (/peɪˈɑːnoʊ/; Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much notation, for instance, notations of set operations. The standard axiomatization of the natural numbers is named the Peano axioms in his honor. As part of this effort, he made key contributions to the modern rigorous and systematic treatment of the method of mathematical induction. He spent most of his career teaching mathematics at the University of Turin. He also created an international auxiliary language, Latino sine flexione ("Latin without inflections"), which is a simplified version of Classical Latin. Most of his books and papers are in Latino sine flexione, while others are in Italian.

Biography

Excerpted from Wikipedia’s “Giuseppe Peano” article, available under the CC BY-SA 4.0 licence.