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En Route for Infinity

The result's identifiers

  • Result code in 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>

  • Alternative codes found

    RIV/61384399:31140/17:00051307

  • Result on the web

    <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

Alternative languages

  • Result language

    angličtina

  • Original language name

    En Route for Infinity

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10100 - Mathematics

Result continuities

  • Project

  • Continuities

    N - Vyzkumna aktivita podporovana z neverejnych zdroju

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

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

  • ISBN

    978-80-87990-12-4

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    235-244

  • Publisher name

    Libuše Macáková, Melandrium

  • Place of publication

    Slaný

  • Event location

    Praha

  • Event date

    Sep 14, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article