Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Cantor's_first_uncountability_proof> ?p ?o. }
Showing items 1 to 28 of
28
with 100 items per page.
- Cantor's_first_uncountability_proof abstract "Georg Cantor's first uncountability proof demonstrates that the set of all real numbers is uncountable. This proof differs from the more familiar proof that uses his diagonal argument. Cantor's first uncountability proof was published in 1874, in an article that also contains a proof that the set of real algebraic numbers is countable, and a proof of the existence of transcendental numbers.Two controversies have developed about Cantor's article: Is Cantor's proof of the existence of transcendental numbers constructive or non-constructive? Why did Cantor emphasize the countability of the real algebraic numbers rather than the uncountability of the real numbers?In 1891 Cantor published his diagonal argument, which produces an uncountability proof that is generally considered simpler and more elegant than his first proof. Both uncountability proofs contain ideas that can be used elsewhere. The diagonal argument is a general technique that is useful in mathematical logic and theoretical computer science, while Cantor's first uncountability proof can be generalized to any ordered set with the same order properties as the real numbers.".
- Cantor's_first_uncountability_proof wikiPageExternalLink 2up.
- Cantor's_first_uncountability_proof wikiPageExternalLink ?IDDOC=49471.
- Cantor's_first_uncountability_proof wikiPageExternalLink 16.pdf.
- Cantor's_first_uncountability_proof wikiPageExternalLink ?pa=content&sa=viewDocument&nodeId=2907.
- Cantor's_first_uncountability_proof wikiPageExternalLink contents9.html.
- Cantor's_first_uncountability_proof wikiPageExternalLink ?PPN=GDZPPN002136651.
- Cantor's_first_uncountability_proof wikiPageExternalLink ?PPN=GDZPPN002155583.
- Cantor's_first_uncountability_proof wikiPageExternalLink ?PPN=PPN37721857X_0039&DMDID=dmdlog27.
- Cantor's_first_uncountability_proof wikiPageExternalLink 21016-pdf.pdf.
- Cantor's_first_uncountability_proof wikiPageExternalLink Dauben-Cantor.pdf.
- Cantor's_first_uncountability_proof wikiPageID "22697171".
- Cantor's_first_uncountability_proof wikiPageRevisionID "606103244".
- Cantor's_first_uncountability_proof hasPhotoCollection Cantor's_first_uncountability_proof.
- Cantor's_first_uncountability_proof subject Category:History_of_mathematics.
- Cantor's_first_uncountability_proof subject Category:Real_analysis.
- Cantor's_first_uncountability_proof subject Category:Set_theory.
- Cantor's_first_uncountability_proof comment "Georg Cantor's first uncountability proof demonstrates that the set of all real numbers is uncountable. This proof differs from the more familiar proof that uses his diagonal argument.".
- Cantor's_first_uncountability_proof label "Cantor's first uncountability proof".
- Cantor's_first_uncountability_proof label "Cantors eerste overaftelbaarheidsbewijs".
- Cantor's_first_uncountability_proof label "Cantors erster Überabzählbarkeitsbeweis".
- Cantor's_first_uncountability_proof sameAs Cantors_erster_Überabzählbarkeitsbeweis.
- Cantor's_first_uncountability_proof sameAs Cantors_eerste_overaftelbaarheidsbewijs.
- Cantor's_first_uncountability_proof sameAs m.01y5gq.
- Cantor's_first_uncountability_proof sameAs Q356702.
- Cantor's_first_uncountability_proof sameAs Q356702.
- Cantor's_first_uncountability_proof wasDerivedFrom Cantor's_first_uncountability_proof?oldid=606103244.
- Cantor's_first_uncountability_proof isPrimaryTopicOf Cantor's_first_uncountability_proof.