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Prvi podnaslov

Mislim da umesto iracionalnih treba da stoji realnih brojeva u članku. Treba proveriti. -- Obradović Goran (razgovor) 20:42, 20 decembar 2005 (CET)

  • Apsolutno. Skup iracionalnih brojeva nikako nije širi od skupa racionalnih brojeva. --Dzordzm 22:17, 20 decembar 2005 (CET)

Georg Cantor born March 3, 1845, St. Petersburg, Russia died Jan. 6, 1918, Halle, Ger.

German mathematician, founder of set theory.

He was the first to examine number systems, such as the rational numbers and the real numbers, systematically as complete entities, or sets. This led him to the surprising discovery that not all infinite sets are the same size. In particular, he showed that the rational numbers could be put in a one-to-one correspondence with the counting numbers; hence the set is countable. He also showed that no such correspondence is possible for the much larger set of irrational numbers; hence they are known as an uncountable set. His investigations led him to the classification of transfinite numbers, which are, informally speaking, degrees of infinity.

http://www.britannica.com/ebc/article-9359700?query=Georg%20Cantor&ct

domatrios 16:01, 21 decembar 2005 (CET)
  • Budući da su oba skupa (iracionalni, realni) neprebrojivi u tekstu je svejedno šta će da stoji. Međutim, reč "širi" je kod nas izazvala zbrku jer se mogla protumačiti kao nadskup, pa bi u tom slučaju realni bili jedino mogući. Međutim u originalnom tekstu iz Britanike vidi se da su ipak u pitanju iracionalni brojevi i da reč širi treba shvatiti opisno, u smislu "veći", pa je tako i zamenjeno. --Đorđe Stakić (r) 16:18, 21 decembar 2005 (CET)
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