Joel Spencer states that "his place in the 20th-century mathematical pantheon is a matter of some controversy because he resolutely concentrated on particular theorems and conjectures throughout his illustrious career.

Erdős vinse la scommessa e dopo aver ritirato la sua vincita disse all'amico: "Ti ho dimostrato che non sono un drogato, ma tu hai fatto perdere un mese di teoremi e dimostrazioni alla matematica. Nel 1938 emigrò negli Stati Uniti dove, dopo aver studiato per un anno all'Institute for Advanced Study di Princeton, fu ospite temporaneo di varie università (tra cui quelle di Philadelphia, Stanford, Notre-Dame). con R.L. Erdős alone was assigned the Erdős number of 0 (for being himself), while his immediate collaborators could claim an Erdős number of 1, their collaborators have Erdős number at most 2, and so on. [3] He was known both for his social practice of mathematics (he engaged more than 500 collaborators) and for his eccentric lifestyle (Time magazine called him The Oddball's Oddball). He would not stay long in one place and traveled back and forth among mathematical institutions until his death. Erdős utilizzava un suo proprio gergo anche per indicare gli Stati: Samlandia erano gli Stati Uniti d'America (dalla figura dello Zio Sam), mentre Joseplandia era l'URSS (da Josif Stalin). [19] His life was documented in the film N is a Number: A Portrait of Paul Erdős, made while he was still alive, and posthumously in the book The Man Who Loved Only Numbers (1998).

Erdős era solito ripetere, riguardo a questa sua strana abitudine, un motto diventato famoso: "Another roof, another proof" (un altro tetto, un'altra dimostrazione). Paul Erdős. Due to collaborations with mathematicians, many scientists in fields such as physics, engineering, biology, and economics have Erdős numbers as well. Per il suo epitaffio ha suggerito: "Adesso ho finito di diventare più stupido" (ungherese: Végre nem butulok tovább). Erdős published around 1,500 mathematical papers during his lifetime, a figure that remains unsurpassed. [45] In contrast, the works of the three winners after were recognized as "outstanding", "classic", and "profound", and the three before as "fundamental" or "seminal". "[63], Jerry Grossman has written that it could be argued that Baseball Hall of Famer Hank Aaron can be considered to have an Erdős number of 1 because they both autographed the same baseball (for Carl Pomerance) when Emory University awarded them honorary degrees on the same day. L'attività scientifica di E. ha riguardato principalmente la teoria dei numeri e la matematica combinatoria. Erdős era solito ripetere, riguardo a questa sua strana abitudine, un motto diventato famoso: "Another roof, another proof" (un altro tetto, un'altra dimostrazione).
[14] In 1934, at the age of 21, he was awarded a doctorate in mathematics. [34] Shortly before his death, he renounced his honorary degree from the University of Waterloo over what he considered to be unfair treatment of colleague Adrian Bondy. He taught himself to read through mathematics texts that his parents left around in their home.

[18] For his epitaph, he suggested "I've finally stopped getting dumber." Divorced men were "liberated". Allora tirò fuori dalla busta una piccola somma, che tenne per sé, e gli diede tutto il resto. In 1938, he accepted his first American position as a scholarship holder at Princeton University. [17] These circumstances were close to the way he wanted to die. and some have estimated that 90 percent of the world's active mathematicians have an Erdős number smaller than 8 (not surprising in light of the small world phenomenon).

Erdős's prolific output with co-authors prompted the creation of the Erdős number, the number of steps in the shortest path between a mathematician and Erdős in terms of co-authorships.

Dalla somma dei due numeri nasce il numero di Erdős-Bacon che però, provenendo da due campi così diversi, è posseduto da un numero molto ridotto di persone, principalmente da matematici (o scienziati) apparsi per qualche documentario scientifico o da attori come, ad esempio, Natalie Portman, che possiede il numero di Erdős-Bacon 6. Tra i suoi risultati nel primo settore, occupano un posto particolare la dimostrazione 'elementare' - cioè senza fare uso di mezzi analitici - del teorema dei numeri primi, ottenuta nel 1948 parallelamente ad A. Selberg; e il teorema, dimostrato in collaborazione con M. Kac, sulla distribuzione dei fattori primi di un numero intero, che è alla base della moderna teoria probabilistica dei numeri. [2] Questi premi vanno dai 25$ per i problemi che considerava appena fuori dalla portata del pensiero matematico corrente, fino a diverse migliaia di dollari per quei problemi che erano sia difficili da attaccare sia matematicamente significativi.

Alexanderson, in Mathematical people. He would typically show up at a colleague's doorstep and announce "my brain is open", staying long enough to collaborate on a few papers before moving on a few days later. To give an oral exam to students was "to torture" them. P. Hoffman, The man who loved only numbers: the odd story of Paul Erdős, mathematical monk and the search for the truth, New York 1998. Erdős' name contains the Hungarian letter "ő" ("o" with double acute accent), but is often incorrectly written as Erdos or Erdös either "by mistake or out of typographical necessity".[20]. – Che si riferisce al giurista romano Iulius Paulus (2° sec. Si può dire che semplicemente non si curava affatto di ciò che non era matematica. Erdős found a proof for Bertrand's postulate which proved to be far neater than Chebyshev's original one. Dai suoi contributi allo sviluppo della teoria di Ramsey e all'applicazione dei metodi probabilistici alla teoria stessa è nata una nuova branca dell'analisi combinatoria derivata in parte dalla teoria analitica dei numeri. d. C.): azione pauliano (nel diritto romano actio pauliana), in diritto civile, lo stesso che azione revocatoria (v. revocatorio). [54], Several studies have shown that leading mathematicians tend to have particularly low Erdős numbers. tardo Paulianus]. Ha lavorato e risolto problemi legati alla teoria dei grafi, combinatoria, teoria dei numeri, analisi, teoria dell'approssimazione, teoria degli insiemi e probabilità. (again), and at 75 "C.D.

38-48. On his life and mathematics", "Reminiscences of Paul Erdös (1913–1996)", The Mathematical Coloring Book: Mathematics of Coloring and the Colorful Life of its Creators, List of collaborators of Erdős by number of joint papers, "Some Famous People with Finite Erdös Numbers", "Facts about Erdös Numbers and the Collaboration Graph - The Erdös Number Project- Oakland University", "Paths to Erdös - The Erdös Number Project- Oakland University", "Items of Interest Related to Erdös Numbers", "Children's Books Beautiful Minds 'The Boy Who Loved Math' and 'On a Beam of Light, "Paul Erdos, 83, a Wayfarer In Math's Vanguard, Is Dead", Searchable collection of (almost) all papers of Erdős, Radiolab: Numbers, with a story on Paul Erdős, Fan Chung, "Open problems of Paul Erdős in graph theory", https://en.wikipedia.org/w/index.php?title=Paul_Erdős&oldid=984124244, Members of the Hungarian Academy of Sciences, Members of the Royal Netherlands Academy of Arts and Sciences, Institute for Advanced Study visiting scholars, Academics of the Victoria University of Manchester, Foreign associates of the National Academy of Sciences, Articles containing Hungarian-language text, Articles with unsourced statements from July 2017, Articles with unsourced statements from August 2020, Wikipedia articles with BIBSYS identifiers, Wikipedia articles with CANTIC identifiers, Wikipedia articles with SELIBR identifiers, Wikipedia articles with SNAC-ID identifiers, Wikipedia articles with SUDOC identifiers, Wikipedia articles with Trove identifiers, Wikipedia articles with WORLDCATID identifiers, Creative Commons Attribution-ShareAlike License, a very large number of results and conjectures (more than 1,500 articles) and a very large number of coauthors (more than 500). Trascorse gran parte del periodo del maccartismo in Israele, dove fu nominato permanent visiting professor all'università di Haifa.

Nel personale vocabolario di Erdős "capo" indicava una donna, "schiavo" un uomo, "epsilon" un bambino (epsilon, in matematica, indica una quantità piccola), "veleno" gli alcolici, "rumore" la musica, "predicare" il tenere una conferenza di matematica, e così via. [58][59] Collaboration distances will necessarily increase over long time scales, as mathematicians with low Erdős numbers die and become unavailable for collaboration. [7] He was the only surviving child of Anna (née Wilhelm) and Lajos Erdős (born as Lajos Engländer).

Matematico ungherese, nato a Budapest il 26 marzo 1913, morto a Varsavia il 20 settembre 1996. I want to be giving a lecture, finishing up an important proof on the blackboard, when someone in the audience shouts out, 'What about the general case?'.

Erdős offered $500 for a solution. – Emistichio di Virgilio (Egl.
Durante la sua carriera, Erdős ha offerto premi in denaro per la soluzione di alcuni problemi irrisolti.

Erdős never married and had no children. [46][47] Erdős also contributed to fields in which he had little real interest, such as topology, where he is credited as the first person to give an example of a totally disconnected topological space that is not zero-dimensional, the Erdős space. [dal lat. Questa pagina è stata modificata per l'ultima volta il 1 feb 2020 alle 11:10. [5] Much of his work centered around discrete mathematics, cracking many previously unsolved problems in the field. 83-91. Fra le sue pubblicazioni si ricordano: The art of counting. Questa frase significava che egli era pronto a lavorare con il collega e si aspettava che questi lo ospitasse a casa sua durante la loro collaborazione. ", at 65 "A.D.", at 70 "L.D." Events of 1996, Chicago 1997, p. 100. represented "Poor Great Old Man", A.D. represented "Archaeological Discovery", The second L.D. [32] Teaching at the University of Notre Dame at the time, Erdős could have chosen to remain in the country. Because of his prolific output, friends created the Erdős number as a tribute. Because of his prolific output, friends created the Erdős number as a tribute. Si stima vi siano almeno un migliaio di tali premi in sospeso, anche se non esiste un elenco ufficiale o completo. Sebbene la sua grandezza come matematico fosse riconosciuta e confermata dai numerosi premi ricevuti, Erdős divenne famoso per il suo stile di vita "vagabondo": tra una conferenza e l'altra girovagava tra i continenti presentandosi alla porta dei suoi colleghi matematici annunciando "la mia mente è aperta". Erdős ‹èrdööš›, Paul. On 20 September 1996, at the age of 83, he had a heart attack and died while attending a conference in Warsaw. 1989", Biographical Memoirs of Fellows of the Royal Society, Paul Erdos, Mathematical Genius, Human (In That Order), "Centenary of Mathematician Paul Erdős – Source of Bacon Number Concept", Notices of the American Mathematical Society, Transcription of October 2, 1996, article, "Paths to Erdős - The Erdős Number Project- Oakland University", "The lord of the numbers, Atle Selberg. This later inspired a book titled Proofs from the Book. His mother survived in hiding.

pauliano agg.

In many cases, he would ask the current collaborator about whom to visit next. [13], Erdős entered the University of Budapest at the age of 17. Erdős sviluppò un proprio vocabolario personale: spesso parlava del Libro riferendosi a un ipotetico libro, posseduto da Dio, nel quale erano racchiuse tutte le dimostrazioni sviluppate nella forma più elegante. Overall, his work leaned towards solving previously open problems, rather than developing or exploring new areas of mathematics.

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