En Route for Infinity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F01801376%3A_____%2F17%3AN0000003" target="_blank" >RIV/01801376:_____/17:N0000003 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61384399:31140/17:00051307

Výsledek na webu

<a href="https://msed.vse.cz/msed_2017/article/37-Coufal-Jan-paper.pdf" target="_blank" >https://msed.vse.cz/msed_2017/article/37-Coufal-Jan-paper.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

En Route for Infinity

Popis výsledku v původním jazyce

This paper presents the birth and development of the term “infinity” in mathematics and in philosophy. Infinity is an abstract concept describing something without any bound or larger than any number. Ancient cultures had various ideas about the nature of infinity. The route for infinity goes from Sumer in the 4th millennium B. C. via Greece (Pythagoras, Aristotle, Euclid – the Ancient Greeks did not define infinity in precise formalism as does modern mathematics, and instead approached infinity as a philosophical concept) to the 19th century Prague (Bolzano), Braunshweig (Dedekind) and Halle (Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries). The article ends in 1900 Paris, at the Second International Congress of Mathematicians, where David Hilbert announced his famous list of 23 unsolved mathematical problems, now known as “Hilbert’s problems” and in 1904 Heidelberg in the Third International Congress of Mathematicians, where Gyula Kőnig delivered a lecture where he claimed that Cantor’s famous continuum hypothesis was false. An error in Kőnig’s proof was discovered by Ernst Zermelo soon thereafter.

Název v anglickém jazyce

En Route for Infinity

Popis výsledku anglicky

This paper presents the birth and development of the term “infinity” in mathematics and in philosophy. Infinity is an abstract concept describing something without any bound or larger than any number. Ancient cultures had various ideas about the nature of infinity. The route for infinity goes from Sumer in the 4th millennium B. C. via Greece (Pythagoras, Aristotle, Euclid – the Ancient Greeks did not define infinity in precise formalism as does modern mathematics, and instead approached infinity as a philosophical concept) to the 19th century Prague (Bolzano), Braunshweig (Dedekind) and Halle (Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries). The article ends in 1900 Paris, at the Second International Congress of Mathematicians, where David Hilbert announced his famous list of 23 unsolved mathematical problems, now known as “Hilbert’s problems” and in 1904 Heidelberg in the Third International Congress of Mathematicians, where Gyula Kőnig delivered a lecture where he claimed that Cantor’s famous continuum hypothesis was false. An error in Kőnig’s proof was discovered by Ernst Zermelo soon thereafter.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10100 - Mathematics

Projekt

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Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

The 11th International Days of Statistics and Economics (MSED 2017)

ISBN

978-80-87990-12-4

ISSN

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e-ISSN

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Počet stran výsledku

10

Strana od-do

235-244

Název nakladatele

Libuše Macáková, Melandrium

Místo vydání

Slaný

Místo konání akce

Praha

Datum konání akce

14. 9. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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