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• Mario_Pieri abstract "Mario Pieri (22 June 1860 – 1 March 1913) was an Italian mathematician who is known for his work on foundations of geometry.Pieri was born in Lucca, Italy, the son of Pellegrino Pieri and Ermina Luporini. Pellegrino was a lawyer. Pieri began his higher education at University of Bologna where he drew the attention of Salvatore Pincherle. Obtaining a scholarship, Pieri transferred to Scuola Normale Superiore in Pisa. There he took his degree in 1884 and worked first at a technical secondary school in Pisa.When the opportunity to teach projective geometry at the military academy in Turin arose, Pieri moved there. By 1888 he was assisting in instructing that subject also at the University of Turin. In 1891 he became libero docente at the university, giving elective courses. Pieri continued teaching in Turin until 1900 when he won a competition for the position of extraordinary professor at University of Catania on the island of Sicily. In 1908 he moved to University of Parma, and in 1911 fell ill. Pieri died in Andrea di Compito (Capannori), not far from Lucca.Von Staudt's Geometrie der Lage (1847) was a much admired text on projective geometry. In 1889 Pieri translated it as Geometria di Posizione, a publication that included a study of the life and work of von Staudt written by Corrado Segre, the initiator of the project.Pieri also came under the influence of Giuseppe Peano at Turin. He contributed to the Formulario mathematico, and Peano placed nine of Pieri's papers for publication with the Academy of Sciences of Turin between 1895 and 1912. They shared a passion for reducing geometric ideas to their logical form and expressing these ideas symbolically.In 1898 Pieri wrote I principii della geometria di posizione composti in un sistema logico-deduttivo. According to J.T. Smith (2010) it isbased on nineteen sequentially independent axioms – each independent of the preceding ones – which are introduced one by one as they are needed in the development, thus allowing the reader to determine on which axioms a given theorem depends.Pieri was invited to address the International Congress of Philosophy in 1900 in Paris. Since this was also the year he moved from Turin to Sicily, he declined to attend but sent a paper "Sur la Géométrie envisagée comme un système purement logique" which was delivered by Louis Couturat. The ideas were also advanced by Alessandro Padoa at both that Congress and the International Congress of Mathematicians also held in Paris that year.In 1900 Pieri wrote Monographia del punto e del moto, which Smith calls the Point and Motion memoire. It is noteworthy as using only two primitive notions, point and motion to develop axioms for geometry. Alessandro Padoa shared in this expression of Peano's logico-geometrical program that reduced the number of primitive notions from the four used by Moritz Pasch.The research into the foundations of geometry led to another formulation in 1908 in a Point and Sphere memoire. Smith (2010) describes it asa full axiomatization of Euclidean geometry based solely on the primitive concepts point and equidistance of two points N and P from a third point O, written ON = OP.This memoire was translated into Polish in 1915 by S. Kwietniewski. A young Alfred Tarski encountered the text and carried forward Pieri's program, as recounted by Smith.In 2002 Avellone, Brigaglia & Zappulla gave a modern evaluation of Pieri's contribution to geometry:Pieri's work was very influential. B. Russell and L. Couturat rightly regarded him as the founder of mathematics as a hypothetical-deductive science. His precision, his rigour, and his analytical clarity are unrivaled by other Italian geometers, perhaps with the exception of Peano.Giuseppe Peano wrote this tribute to Pieri upon his death:Pieri was totally dedicated to science and teaching. He was an untiring worker, honest, and of a singular modesty. When, some twenty years ago, the professors in Italy agitated for higher salaries, Pieri declared that their salaries were already above the work they did and their merit.from Hubert C. Kennedy (1980), Peano, page 142, D. Reidel/Kluwer.Mario Pieri's collected works were published by the Italian Mathematical Union in 1980 under the title Opere sui fondamenti della matematica (Edizioni Cremonese, Bologna).".
• Mario_Pieri birthDate "1860-06-22".
• Mario_Pieri birthPlace Lucca.
• Mario_Pieri birthYear "1860".
• Mario_Pieri deathDate "1913-03-01".
• Mario_Pieri deathPlace Capannori.
• Mario_Pieri deathYear "1913".
• Mario_Pieri nationality Italy.
• Mario_Pieri thumbnail Mario_Pieri.JPG?width=300.
• Mario_Pieri wikiPageExternalLink definitions-and-nondefinability-in-geometry.
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• Mario_Pieri wikiPageRevisionID "660389726".
• Mario_Pieri wikiPageWikiLink Alessandro_Padoa.
• Mario_Pieri wikiPageWikiLink Alfred_Tarski.
• Mario_Pieri wikiPageWikiLink American_Mathematical_Monthly.
• Mario_Pieri wikiPageWikiLink Archive_for_History_of_Exact_Sciences.
• Mario_Pieri wikiPageWikiLink Bertrand_Russell.
• Mario_Pieri wikiPageWikiLink Cambridge_University_Press.
• Mario_Pieri wikiPageWikiLink Capannori.
• Mario_Pieri wikiPageWikiLink Category:1860_births.
• Mario_Pieri wikiPageWikiLink Category:1913_deaths.
• Mario_Pieri wikiPageWikiLink Category:19th-century_Italian_mathematicians.
• Mario_Pieri wikiPageWikiLink Category:20th-century_Italian_mathematicians.
• Mario_Pieri wikiPageWikiLink Category:Geometers.
• Mario_Pieri wikiPageWikiLink Category:Italian_logicians.
• Mario_Pieri wikiPageWikiLink Category:Italian_mathematicians.
• Mario_Pieri wikiPageWikiLink Corrado_Segre.
• Mario_Pieri wikiPageWikiLink Dictionary_of_Scientific_Biography.
• Mario_Pieri wikiPageWikiLink Formulario_mathematico.
• Mario_Pieri wikiPageWikiLink Foundations_of_geometry.
• Mario_Pieri wikiPageWikiLink Giuseppe_Peano.
• Mario_Pieri wikiPageWikiLink Historia_Mathematica.
• Mario_Pieri wikiPageWikiLink International_Congress_of_Mathematicians.
• Mario_Pieri wikiPageWikiLink International_Congress_of_Philosophy.
• Mario_Pieri wikiPageWikiLink Italian_Mathematical_Union.
• Mario_Pieri wikiPageWikiLink Italy.
• Mario_Pieri wikiPageWikiLink Karl_Georg_Christian_von_Staudt.
• Mario_Pieri wikiPageWikiLink Lester_R._Ford.
• Mario_Pieri wikiPageWikiLink Lester_R._Ford_Award.
• Mario_Pieri wikiPageWikiLink Louis_Couturat.
• Mario_Pieri wikiPageWikiLink Lucca.
• Mario_Pieri wikiPageWikiLink Mathematician.
• Mario_Pieri wikiPageWikiLink Moritz_Pasch.
• Mario_Pieri wikiPageWikiLink Motion_(geometry).
• Mario_Pieri wikiPageWikiLink Paris.
• Mario_Pieri wikiPageWikiLink Pieris_formula.
• Mario_Pieri wikiPageWikiLink Pisa.
• Mario_Pieri wikiPageWikiLink Point_(geometry).
• Mario_Pieri wikiPageWikiLink Polish_language.
• Mario_Pieri wikiPageWikiLink Primitive_notion.
• Mario_Pieri wikiPageWikiLink Projective_geometry.
• Mario_Pieri wikiPageWikiLink Salvatore_Pincherle.
• Mario_Pieri wikiPageWikiLink Sicily.
• Mario_Pieri wikiPageWikiLink The_Principles_of_Mathematics.
• Mario_Pieri wikiPageWikiLink Turin.
• Mario_Pieri wikiPageWikiLink University_of_Bologna.
• Mario_Pieri wikiPageWikiLink University_of_Catania.
• Mario_Pieri wikiPageWikiLink University_of_Parma.
• Mario_Pieri wikiPageWikiLink University_of_Turin.
• Mario_Pieri wikiPageWikiLink Von_Staudt_(mathematician).
• Mario_Pieri wikiPageWikiLink World_Congress_of_Philosophy.
• Mario_Pieri wikiPageWikiLinkText "Mario Pieri".
• Mario_Pieri wikiPageWikiLinkText "Pieri, Mario".
• Mario_Pieri birthDate "1860-06-22".
• Mario_Pieri birthPlace "Lucca, Italy".
• Mario_Pieri dateOfBirth "1860-06-22".
• Mario_Pieri dateOfDeath "1913-03-01".
• Mario_Pieri deathDate "1913-03-01".
• Mario_Pieri deathPlace "Capannori, Italy".
• Mario_Pieri field "Mathematics".
• Mario_Pieri hasPhotoCollection Mario_Pieri.
• Mario_Pieri imageSize "200".
• Mario_Pieri name "Mario Pieri".
• Mario_Pieri name "Pieri, Mario".
• Mario_Pieri nationality "Italian".
• Mario_Pieri placeOfBirth "Lucca, Italy".
• Mario_Pieri placeOfDeath "Capannori, Italy".
• Mario_Pieri shortDescription "Italian mathematician".
• Mario_Pieri wikiPageUsesTemplate Template:Authority_control.
• Mario_Pieri wikiPageUsesTemplate Template:Infobox_scientist.
• Mario_Pieri wikiPageUsesTemplate Template:MacTutor_Biography.
• Mario_Pieri wikiPageUsesTemplate Template:Persondata.
• Mario_Pieri description "Italian mathematician".
• Mario_Pieri description "Italian mathematician".
• Mario_Pieri subject Category:1860_births.
• Mario_Pieri subject Category:1913_deaths.
• Mario_Pieri subject Category:19th-century_Italian_mathematicians.
• Mario_Pieri subject Category:20th-century_Italian_mathematicians.
• Mario_Pieri subject Category:Geometers.
• Mario_Pieri subject Category:Italian_logicians.
• Mario_Pieri subject Category:Italian_mathematicians.
• Mario_Pieri hypernym Mathematician.
• Mario_Pieri type Agent.
• Mario_Pieri type Article.
• Mario_Pieri type Person.
• Mario_Pieri type Philosopher.
• Mario_Pieri type Scientist.
• Mario_Pieri type Article.

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