Jabarkan Rujukan dari Georg Cantor dalam bahasa melayu

Mainly devoted to Cantor's accomplishment.

Stanford Encyclopedia of Philosophy: Set theory by Thomas Jech. The Early Development of Set Theory by José Ferreirós.

"Cantor infinities", analysis of Cantor's 1874 article, BibNum (for English version, click 'à télécharger'). There is an error in this analysis. It states Cantor's Theorem 1 correctly: Algebraic numbers can be counted. However, it states his Theorem 2 incorrectly: Real numbers cannot be counted. It then says: "Cantor notes that, taken together, Theorems 1 and 2 allow for the redemonstration of the existence of non-algebraic real numbers …" This existence demonstration is non-constructive. Theorem 2 stated correctly is: Given a sequence of real numbers, one can determine a real number that is not in the sequence. Taken together, Theorem 1 and this Theorem 2 produce a non-algebraic number. Cantor also used Theorem 2 to prove that the real numbers cannot be counted. See Cantor's first set theory article or Georg Cantor and Transcendental Numbers.