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Giuseppe Peano

Born

in Spinetta, Piedmont, Kingdom of Sardinia, Italy

August 27, 1858

Died

April 20, 1932

Website

http://en.wikipedia.org/wiki/Giuseppe_Peano

Genre

Science, Mathematics, Logic

Influences

Bertrand Russell, Angelo Genocchi ...more

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Giuseppe Peano (Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician. 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 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.

Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, gradu Giuseppe Peano (Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician. 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 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.

Peano was born and raised on a farm at Spinetta, a hamlet now belonging to Cuneo, Piedmont, Italy. He attended the Liceo classico Cavour in Turin, and enrolled at the University of Turin in 1876, graduating in 1880 with high honours, after which the University employed him to assist first Enrico D'Ovidio, and then Angelo Genocchi, the Chair of Infinitesimal calculus. Due to Genocchi's poor health, Peano took over the teaching of the infinitesimal calculus course within 2 years. His first major work, a textbook on calculus, was published in 1884 and was credited to Genocchi. A few years later, Peano published his first book dealing with mathematical logic. Here the modern symbols for the union and intersection of sets appeared for the first time.

In 1887, Peano married Carola Crosio, the daughter of the Turin-based painter Luigi Crosio, known for painting the Refugium Peccatorum Madonna. In 1886, he began teaching concurrently at the Royal Military Academy, and was promoted to Professor First Class in 1889. The next year, the University of Turin also granted him his full professorship. Peano's famous space-filling curve appeared in 1890 as a counterexample. He used it to show that a continuous curve cannot always be enclosed in an arbitrarily small region. This was an early example of what came to be known as a fractal.

In 1890 Peano founded the journal Rivista di Matematica, which published its first issue in January 1891. In 1891 Peano started the Formulario Project. It was to be an "Encyclopedia of Mathematics", containing all known formulae and theorems of mathematical science using a standard notation invented by Peano. In 1897, the first International Congress of Mathematicians was held in Zürich. Peano was a key participant, presenting a paper on mathematical logic. He also started to become increasingly occupied with Formulario to the detriment of his other work.

In 1898 he presented a note to the Academy about binary numeration and its ability to be used to represent the sounds of languages. He also became so frustrated with publishing delays (due to his demand that formulae be printed on one line) that he purchased a printing press.

1881: Published first paper.
1884: Calcolo Differenziale e Principii di Calcolo Integrale.
1887: Applicazioni Geometriche del Calcolo Infinitesimale.
1889: Appointed Professor First Class at the Royal Military Academy.
1890: Appointed Extraordinary Professor of infinitesimal calculus at the University of Turin.
1891: Made a member of the Academy of Science, Torino.
1893: Lezioni di Analisi Infinitesimale, 2 vols.
1895: Promoted to Ordinary Professor.
1901: Made Knight of the Order of Saints Maurizio and Lazzaro.
1903: Announces Latino sine flexione.
1905: Made Knight of the Order of the Crown of Italy. Elected a corresponding member of the Accademia dei Lincei in Rome, the highest Italian honour for scientists.
1908: Fifth and final edition of the Formulario mathematico.
1917: Made an Officer of the Crown of Italy.
1921: Promoted to Commendatore of the Crown of Italy. ...more

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Average rating: 3.92 · 12 ratings · 3 reviews · 86 distinct works

	Selected Works by Giuseppe Peano, Hubert C. Kennedy (Editor) 4.20 avg rating — 5 ratings — published 1932 — 4 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Arithmetices Principia: Nova Methodo Exposita (Classic Reprint) 3.33 avg rating — 3 ratings — 11 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Problemi matematici antichissimi 4.50 avg rating — 2 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Importanza dei simboli in matematica 3.50 avg rating — 2 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Geometric Calculus: According to the Ausdehnungslehre of H. Grassmann by Giuseppe Peano, L.C. Kannenberg (Translator) 0.00 avg rating — 0 ratings — published 1999 — 3 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Aritmetica generale e algebra elementare 0.00 avg rating — 0 ratings — published 2010	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Geometric Calculus: According to the Ausdehnungslehre of H. Grassmann 0.00 avg rating — 0 ratings — published 2011 — 3 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	De Latino sine Flexione; Principio de Permanentia 0.00 avg rating — 0 ratings — 2 editions	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Calcolo geometrico : secondo l'Ausdehnungslehre di H. Grassmann by Giuseppe Peano, Filippo Delmonte-Barbera (Editor) 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars
	Manuale Practico de Interlingua: Practical Manual of Interlingua by Giuseppe Peano, António Mendes (Editor) 0.00 avg rating — 0 ratings	Error rating book. Refresh and try again. Rate this book Clear rating 1 of 5 stars 2 of 5 stars 3 of 5 stars 4 of 5 stars 5 of 5 stars

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Quotes by Giuseppe Peano (?)

“Questions that pertain to the foundations of mathematics, although treated by many in recent times, still lack a satisfactory solution. Ambiguity of language is philosophy's main source of problems. That is why it is of the utmost importance to examine attentively the very words we use.”
― Giuseppe Peano

tags: ambiguity, foundations, importance, language, math, mathematics, philosophy, questions, satisfactory, science, solution

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Giuseppe Peano’s Followers (15)

Giuseppe Peano

Combine EditionsGiuseppe Peano’s books

Combine Editions
Giuseppe Peano’s books