Giuseppe Peano

Italian mathematician (1858-1932) · Italy · Academics · Died at 73

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He built the scaffolding underneath arithmetic itself - the axioms that define what numbers are and how they behave, the notation still scribbled on every set-theory blackboard, and a formal system for proving things by induction that made mathematics more rigorous and less guesswork.

Scientists Academic Mathematics Philosophy 19th Century

A life in dates

1932Died20 April 19321921Commander of the Order of the Crown of ItalyAward1917Officer of the Order of the Crown of ItalyAward1905Knight of the Order of the Crown of ItalyAward1901Knight of the Order of Saints Maurice and LazarusAward1898“These primitive propositions … suffice to deduce all the properties of the numbers that we shall meet in the sequel.”In their wordsOn what became knows as the Peano axioms, in "I fondamenti dell’aritmetica nel Formulario del 1898", in Opere Scelte Vol. III (1959),Read the whole statement

1894“Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses.”In their words"Sui fondamenti della geometria" (1894), p. 141, as quoted in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, inRead the whole statement

1858Born27 August 1858

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Photos 6

Giuseppe Peano

Giuseppe Peano arcképe

Monumento a Peano

Mrmrspeano

Peano - I principii di geometria - Frontespizio

Peano, Giuseppe - Calcolo geometrico secondo l'Ausdehnungslehre di H. Grassmann, 1888 - BEIC 6564146

In their own words 4

Giuseppe Peano

4 statements, newest first

These primitive propositions … suffice to deduce all the properties of the numbers that we shall meet in the sequel.
1898, On what became knows as the Peano axioms, in "I fondamenti dell’aritmetica nel Formulario del 1898", in Opere Scelte Vol. III (1959),, Own words
Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses.
1894, "Sui fondamenti della geometria" (1894), p. 141, as quoted in "The Mathematical Philosophy of Giuseppe Peano" by Hubert C. Kennedy, in, Own words
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.
As expressed in Galileo's Finger: The Ten Great Ideas of Science (2003) by Peter Atkins, Ch. 10 "Arithmetic : The Limits of Reason", p. 333, Own words

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Awards

Commander of the Order of the Crown of Italy1921

Officer of the Order of the Crown of Italy1917

Knight of the Order of the Crown of Italy1905

Knight of the Order of Saints Maurice and Lazarus1901

About this person

Giuseppe Peano was born on 27 August 1858 in Italy and spent most of his career teaching mathematics at the University of Turin. He authored over 200 books and papers, founding mathematical logic and set theory while contributing much of the notation still in use for set operations. The natural numbers are axiomatized in his honor - the Peano axioms - and his work on mathematical induction reshaped how proofs are constructed. Later he turned to language, creating Latino sine flexione, a simplified Classical Latin meant as an international auxiliary tongue; most of his later writing appeared in it rather than Italian. He died on 20 April 1932, leaving behind the symbols and structures that underpin how we talk about numbers.

Country

Italy

Academics from Italy 6

Franco Modigliani56.6

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