<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"A hip\u00F3tese do continuum \u00E9 uma conjectura proposta por Georg Cantor. Esta conjectura consiste no seguinte: N\u00E3o existe nenhum conjunto com cardinalidade maior que a do conjunto dos n\u00FAmeros inteiros e menor que a do conjunto dos n\u00FAmeros reais. Aqui mais elementos e menos elementos tem um sentido muito preciso (ver n\u00FAmero cardinal). Esta hip\u00F3tese foi o n\u00FAmero um dos 23 Problemas de Hilbert apresentados na confer\u00EAncia do Congresso Internacional de Matem\u00E1tica de 1900, o que levou a que fosse estudada profundamente durante o s\u00E9culo XX." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"En teoria de conjunts, la hip\u00F2tesi del continu (abreviada HC) \u00E9s una hip\u00F2tesi, proposada per Georg Cantor, sobre la cardinalitat del conjunt dels nombres reals (denominat continu per la recta real). Cantor introdu\u00ED el concepte de nombre cardinal per comparar la mida de conjunts infinits, demostrant el 1874 que el cardinal del conjunt dels enters \u00E9s estrictament inferior al dels nombres reals. El seg\u00FCent a preguntar-se \u00E9s si existeixen conjunts tals que la seva cardinalitat estigui estrictament inclosa entre els dos conjunts. La hip\u00F2tesi del continu diu: No existeixen conjunts la mida dels quals estigui compresa estrictament entre el dels enters i el dels nombres reals. Matem\u00E0ticament parlant, si el cardinal dels enters \u00E9s  (\u00E0lef zero) i el cardinal dels nombres reals \u00E9s , la hip\u00F2tesi del continu afirma que: on |A| indica el cardinal d'A. Acceptant l'axioma d'elecci\u00F3, existeix un nombre cardinal , l'immediat superior a , sent la hip\u00F2tesi del continu equivalent a la igualtat" .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"Hypot\u00E9za kontinua (ozna\u010Dovan\u00E1 n\u011Bkdy jako CH (z anglick\u00E9ho Continuum Hypothesis)) je matematick\u00E9 tvrzen\u00ED formulovan\u00E9 poprv\u00E9 Georgem Cantorem v roce 1882. Toto tvrzen\u00ED se t\u00FDk\u00E1 ot\u00E1zky, zda existuje n\u011Bjak\u00E1 mno\u017Eina, jej\u00ED\u017E mohutnost je ost\u0159e mezi mohutnost\u00ED mno\u017Einy p\u0159irozen\u00FDch \u010D\u00EDsel a mohutnost\u00ED mno\u017Einy \u010D\u00EDsel re\u00E1ln\u00FDch (neboli kontinua), a odpov\u00EDd\u00E1 na ni z\u00E1porn\u011B."@cs .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Die Kontinuumshypothese wurde 1878 vom Mathematiker Georg Cantor aufgestellt und beinhaltet eine Vermutung \u00FCber die M\u00E4chtigkeit des Kontinuums, das hei\u00DFt der Menge der reellen Zahlen. Dieses Problem hat sich nach einer langen Geschichte, die bis in die 1960er Jahre hineinreicht, als nicht entscheidbar herausgestellt, das hei\u00DFt, die Axiome der Mengenlehre erlauben in dieser Frage keine Entscheidung." .
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\u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C\u0430 \u044F\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043B\u0438\u0431\u043E \u0441\u0447\u0451\u0442\u043D\u044B\u043C, \u043B\u0438\u0431\u043E \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0430\u043B\u044C\u043D\u044B\u043C. \u0414\u0440\u0443\u0433\u0438\u043C\u0438 \u0441\u043B\u043E\u0432\u0430\u043C\u0438, \u0433\u0438\u043F\u043E\u0442\u0435\u0437\u0430 \u043F\u0440\u0435\u0434\u043F\u043E\u043B\u0430\u0433\u0430\u0435\u0442, \u0447\u0442\u043E \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u044C \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C\u0430 \u2014 \u043D\u0430\u0438\u043C\u0435\u043D\u044C\u0448\u0430\u044F, \u043F\u0440\u0435\u0432\u043E\u0441\u0445\u043E\u0434\u044F\u0449\u0430\u044F \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u044C \u0441\u0447\u0451\u0442\u043D\u043E\u0433\u043E \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0430, \u0438 \u00AB\u043F\u0440\u043E\u043C\u0435\u0436\u0443\u0442\u043E\u0447\u043D\u044B\u0445\u00BB \u043C\u043E\u0449\u043D\u043E\u0441\u0442\u0435\u0439 \u043C\u0435\u0436\u0434\u0443 \u0441\u0447\u0435\u0442\u043D\u044B\u043C \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E\u043C \u0438 \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C\u043E\u043C \u043D\u0435\u0442. \u0412 \u0447\u0430\u0441\u0442\u043D\u043E\u0441\u0442\u0438, \u044D\u0442\u043E \u043F\u0440\u0435\u0434\u043F\u043E\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u043E\u0437\u043D\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043E \u0434\u043B\u044F \u043B\u044E\u0431\u043E\u0433\u043E \u0431\u0435\u0441\u043A\u043E\u043D\u0435\u0447\u043D\u043E\u0433\u043E \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0430 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u044B\u0445 \u0447\u0438\u0441\u0435\u043B \u0432\u0441\u0435\u0433\u0434\u0430 \u043C\u043E\u0436\u043D\u043E \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0432\u0437\u0430\u0438\u043C\u043D\u043E-\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u043B\u0438\u0431\u043E \u043C\u0435\u0436\u0434\u0443 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u044D\u0442\u043E\u0433\u043E \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0430 \u0438 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E\u043C \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u043B\u0438\u0431\u043E \u043C\u0435\u0436\u0434\u0443 \u044D\u043B\u0435\u043C\u0435\u043D\u0442\u0430\u043C\u0438 \u044D\u0442\u043E\u0433\u043E \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u0430 \u0438 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E\u043C \u0432\u0441\u0435\u0445 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u044B\u0445 \u0447\u0438\u0441\u0435\u043B. \u041F\u0435\u0440\u0432\u044B\u0435 \u043F\u043E\u043F\u044B\u0442\u043A\u0438 \u0434\u043E\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044C\u0441\u0442\u0432\u0430 \u044D\u0442\u043E\u0433\u043E \u0443\u0442\u0432\u0435\u0440\u0436\u0434\u0435\u043D\u0438\u044F \u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430\u043C\u0438 \u043D\u0430\u0438\u0432\u043D\u043E\u0439 \u0442\u0435\u043E\u0440\u0438\u0438 \u043C\u043D\u043E\u0436\u0435\u0441\u0442\u0432 \u043D\u0435 \u0443\u0432\u0435\u043D\u0447\u0430\u043B\u0438\u0441\u044C \u0443\u0441\u043F\u0435\u0445\u043E\u043C, \u0432 \u0434\u0430\u043B\u044C\u043D\u0435\u0439\u0448\u0435\u043C \u043F\u043E\u043A\u0430\u0437\u0430\u043D\u0430 \u043D\u0435\u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u044C \u0434\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0438\u043B\u0438 \u043E\u043F\u0440\u043E\u0432\u0435\u0440\u0433\u043D\u0443\u0442\u044C \u0433\u0438\u043F\u043E\u0442\u0435\u0437\u0443 \u0432 \u0430\u043A\u0441\u0438\u043E\u043C\u0430\u0442\u0438\u043A\u0435 \u0426\u0435\u0440\u043C\u0435\u043B\u043E \u2014 \u0424\u0440\u0435\u043D\u043A\u0435\u043B\u044F (\u043A\u0430\u043A \u0441 \u0430\u043A\u0441\u0438\u043E\u043C\u043E\u0439 \u0432\u044B\u0431\u043E\u0440\u0430, \u0442\u0430\u043A \u0438 \u0431\u0435\u0437 \u043D\u0435\u0451). \u041A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0438\u043F\u043E\u0442\u0435\u0437\u0430 \u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E \u0434\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442\u0441\u044F \u0432 \u0441\u0438\u0441\u0442\u0435\u043C\u0435 \u0426\u0435\u0440\u043C\u0435\u043B\u043E \u2014 \u0424\u0440\u0435\u043D\u043A\u0435\u043B\u044F \u0441 \u0430\u043A\u0441\u0438\u043E\u043C\u043E\u0439 \u0434\u0435\u0442\u0435\u0440\u043C\u0438\u043D\u0438\u0440\u043E\u0432\u0430\u043D\u043D\u043E\u0441\u0442\u0438 (ZF+AD)." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Hypothesis107162545> .
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<http://dbpedia.org/resource/The_Story_of_Maths>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\uC9D1\uD569\uB860\uC5D0\uC11C, \uC5F0\uC18D\uCCB4 \uAC00\uC124(\u9023\u7E8C\u9AD4\u5047\u8AAA, \uC601\uC5B4: continuum hypothesis, \uC57D\uC790 CH)\uC740 \uC2E4\uC218 \uC9D1\uD569\uC758 \uBAA8\uB4E0 \uBD80\uBD84 \uC9D1\uD569\uC740 \uAC00\uC0B0 \uC9D1\uD569\uC774\uAC70\uB098 \uC544\uB2C8\uBA74 \uC2E4\uC218 \uC9D1\uD569\uACFC \uD06C\uAE30\uAC00 \uAC19\uB2E4\uB294 \uBA85\uC81C\uC774\uB2E4. \uC9D1\uD569\uB860\uC758 \uD45C\uC900\uC801 \uACF5\uB9AC\uACC4\uB85C\uB294 \uC99D\uBA85\uD560 \uC218\uB3C4, \uBC18\uC99D\uD560 \uC218\uB3C4 \uC5C6\uB2E4." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In de verzamelingenleer, een deelgebied van de wiskunde, is de continu\u00FCmhypothese een door Georg Cantor in 1877 geponeerde hypothese over de mogelijke grootte van oneindige verzamelingen. De hypothese luidt dat: Er bestaat geen verzameling, waarvan de kardinaliteit tussen de kardinaliteit van de gehele getallen en de kardinaliteit van de re\u00EBle getallen ligt. De continu\u00FCmhypothese stelt dat de kardinaliteit van de verzameling re\u00EBle getallen (het continu\u00FCm) het eerste overaftelbare kardinaalgetal is, oftewel het eerste kardinaalgetal groter dan de kardinaliteit van de natuurlijke getallen." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u8FDE\u7EED\u7EDF\u5047\u8BBE" .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"Kontinuumhypotesen \u00E4r ett m\u00E4ngdteoretiskt p\u00E5st\u00E5ende som bland annat har betydelse inom matematikfilosofin. Hypotesen \u00E4r att det inte existerar n\u00E5got kardinaltal som ligger mellan kardinaltalet f\u00F6r m\u00E4ngden av de hela talen, Alef-noll, och kardinaltalet f\u00F6r m\u00E4ngden av de reella talen, kontinuum. Kurt G\u00F6del bevisade med hj\u00E4lp av  att antagandet att kontinuumhypotesen \u00E4r sann inte strider mot m\u00E4ngdl\u00E4rans axiom i systemet ZFC. Emellertid visade matematikern  genom att introducera metoden forcing \u00E5r 1963 att inte heller antagandet att kontinuumhypotesen \u00E4r falsk strider mot axiomen i ZFC. Det \u00E4r allts\u00E5 likgiltigt f\u00F6r m\u00E4ngdl\u00E4ran huruvida ett s\u00E5dant kardinaltal existerar eller inte, man kan inte avg\u00F6ra med dess hj\u00E4lp huruvida det finns eller inte. Att kontinuumhypotesen \u00E4r oavg\u00F6rbar inneb\u00E4r, enligt dem som f\u00F6respr\u00E5kar matematisk realism, att axiomsystemet ZFC inte beskriver den matematiska verkligheten tillr\u00E4ckligt precist f\u00F6r att kontinuumhypotesens verkliga sanningsv\u00E4rde skall kunna avg\u00F6ras. Andra realister h\u00E4vdar att det kan existera parallella m\u00E4ngdteoretiska universa: vissa d\u00E4r kontinuumhypotesen \u00E4r sann och andra d\u00E4r den \u00E4r falsk. Om man \u00E4r formalist tolkar man i st\u00E4llet resultatet bara som en matematisk egenskap hos ZFC som formellt system. Ett f\u00E5tal nutida m\u00E4ngdteoretiker, framf\u00F6rallt , anser att en djupare f\u00F6rst\u00E5else av m\u00E4ngdl\u00E4ran kan leda till insikter som f\u00E5r oss att acceptera nya axiom som skulle kunna avg\u00F6ra kontinuumhypotesen. Bland s\u00E5dana \u00E4r tendensen numera snarare att tro att kontinuumhypotesen \u00E4r falsk \u00E4n att den \u00E4r sann."@sv .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/property/last>	"Woodin" .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"Die Kontinuumshypothese wurde 1878 vom Mathematiker Georg Cantor aufgestellt und beinhaltet eine Vermutung \u00FCber die M\u00E4chtigkeit des Kontinuums, das hei\u00DFt der Menge der reellen Zahlen. Dieses Problem hat sich nach einer langen Geschichte, die bis in die 1960er Jahre hineinreicht, als nicht entscheidbar herausgestellt, das hei\u00DFt, die Axiome der Mengenlehre erlauben in dieser Frage keine Entscheidung." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"In matematica, l'ipotesi del continuo \u00E8 un'ipotesi avanzata da Georg Cantor che riguarda le dimensioni possibili per gli insiemi infiniti. Cantor introdusse il concetto di cardinalit\u00E0 e di numero cardinale (che possiamo immaginare come una \"dimensione\" dell'insieme) per confrontare tra loro insiemi transfiniti, e dimostr\u00F2 l'esistenza di insiemi infiniti di cardinalit\u00E0 diversa, come ad esempio i numeri naturali e i numeri reali. L'ipotesi del continuo afferma che: Non esiste nessun insieme la cui cardinalit\u00E0 \u00E8 strettamente compresa fra quella dei numeri interi e quella dei numeri reali. Matematicamente parlando, dato che la cardinalit\u00E0 degli interi  \u00E8  (aleph-zero) e la cardinalit\u00E0 dei numeri reali  \u00E8 , l'ipotesi del continuo afferma: dove  indica la cardinalit\u00E0 di . Il nome di questa ipotesi deriva dalla retta dei numeri reali, chiamata appunto \"il continuo\". Vi \u00E8 anche una generalizzazione dell'ipotesi del continuo, denominata \"ipotesi generalizzata del continuo\", e che afferma che per ogni cardinale transfinito T Gli studi di G\u00F6del e Cohen hanno permesso di stabilire che nella teoria degli insiemi di Zermelo - Fraenkel comprensiva dell'assioma di scelta l'ipotesi del continuo risulta indecidibile." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Freiling\u0027s_axiom_of_symmetry> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#label>	"\uC5F0\uC18D\uCCB4 \uAC00\uC124" .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Message106598915> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Saharon_Shelah> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pt.dbpedia.org/resource/Hip\u00F3tese_do_continuum> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://yago-knowledge.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ca.dbpedia.org/resource/Hip\u00F2tesi_del_continu> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\u9023\u7D9A\u4F53\u4EEE\u8AAC\uFF08\u308C\u3093\u305E\u304F\u305F\u3044\u304B\u305B\u3064\u3001Continuum Hypothesis, CH\uFF09\u3068\u306F\u3001\u53EF\u7B97\u6FC3\u5EA6\u3068\u9023\u7D9A\u4F53\u6FC3\u5EA6\u306E\u9593\u306B\u306F\u4ED6\u306E\u6FC3\u5EA6\u304C\u5B58\u5728\u3057\u306A\u3044\u3068\u3059\u308B\u4EEE\u8AAC\u300219\u4E16\u7D00\u306B\u30B2\u30AA\u30EB\u30AF\u30FB\u30AB\u30F3\u30C8\u30FC\u30EB\u306B\u3088\u3063\u3066\u63D0\u5531\u3055\u308C\u305F\u3002\u73FE\u5728\u306E\u6570\u5B66\u3067\u7528\u3044\u3089\u308C\u308B\u6A19\u6E96\u7684\u306A\u67A0\u7D44\u307F\u306E\u3082\u3068\u3067\u306F\u300C\u9023\u7D9A\u4F53\u4EEE\u8AAC\u306F\u8A3C\u660E\u3082\u53CD\u8A3C\u3082\u3067\u304D\u306A\u3044\u547D\u984C\u3067\u3042\u308B\u300D\u3068\u3044\u3046\u3053\u3068\u304C\u660E\u78BA\u306B\u8A3C\u660E\u3055\u308C\u3066\u3044\u308B\u3002" .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"A hip\u00F3tese do continuum \u00E9 uma conjectura proposta por Georg Cantor. Esta conjectura consiste no seguinte: N\u00E3o existe nenhum conjunto com cardinalidade maior que a do conjunto dos n\u00FAmeros inteiros e menor que a do conjunto dos n\u00FAmeros reais. Aqui mais elementos e menos elementos tem um sentido muito preciso (ver n\u00FAmero cardinal). Esta hip\u00F3tese foi o n\u00FAmero um dos 23 Problemas de Hilbert apresentados na confer\u00EAncia do Congresso Internacional de Matem\u00E1tica de 1900, o que levou a que fosse estudada profundamente durante o s\u00E9culo XX." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u0641\u0631\u0636\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: continuum hypothesis) \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0648\u0646\u0638\u0631\u064A\u0629 \u0627\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u062D\u062F\u0633\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 \u0648\u062A\u062E\u062A\u0635\u0631 CH\u060C \u0647\u064A \u062A\u0635\u0648\u0631 \u0648\u0636\u0639\u0647 \u0627\u0644\u0631\u064A\u0627\u0636\u064A \u062C\u0648\u0631\u062C \u0643\u0627\u0646\u062A\u0648\u0631 \u0639\u0627\u0645 1878\u0639\u0646 \u0627\u0644\u0623\u062D\u062C\u0627\u0645 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064A\u0629. \u0648\u062A\u0646\u0635 \u0639\u0644\u0649: (\u0644\u0627 \u064A\u0648\u062C\u062F \u0645\u062C\u0645\u0648\u0639\u0629 \u0639\u062F\u062F \u0639\u0646\u0627\u0635\u0631\u0647\u0627 \u0627\u0644\u0623\u0635\u0644\u064A\u0629 \u0645\u062D\u062F\u062F\u0629 \u0628\u0634\u0643\u0644 \u0635\u0627\u0631\u0645 \u0628\u064A\u0646 \u0627\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u0635\u062D\u064A\u062D\u0629 \u0648\u0627\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u062D\u0642\u064A\u0642\u064A\u0629). \u0625\u0646 \u062D\u062F\u0633\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 \u0644\u0643\u0627\u0646\u062A\u0648\u0631 \u0647\u064A \u0628\u0628\u0633\u0627\u0637\u0629 \u0627\u0644\u062A\u0633\u0627\u0624\u0644: \u0643\u0645 \u0639\u062F\u062F \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0648\u062C\u0648\u062F\u0629 \u0639\u0644\u0649 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645 \u0641\u064A \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0625\u0642\u0644\u064A\u062F\u064A\u061F \u0623\u0648 \u0628\u0635\u064A\u063A\u0629 \u0623\u062E\u0631\u0649: \u0643\u0645 \u0639\u062F\u062F \u0627\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u0627\u0644\u0645\u062E\u062A\u0644\u0641\u0629 \u0627\u0644\u0645\u0648\u062C\u0648\u062F\u0629 \u0644\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u0635\u062D\u064A\u062D\u0629\u061F \u0641\u0647\u064A \u062A\u0633\u0627\u0624\u0644 \u0639\u0646 \u0645\u0642\u062F\u0627\u0631 \u0623\u0648 \u062D\u062C\u0645 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064A\u0629."@ar .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\u03A3\u03C4\u03B1 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03AC, \u03B7 \u03C5\u03C0\u03CC\u03B8\u03B5\u03C3\u03B7 \u03C4\u03BF\u03C5 \u03C3\u03C5\u03BD\u03B5\u03C7\u03BF\u03CD\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03BC\u03B9\u03B1 \u03C5\u03C0\u03CC\u03B8\u03B5\u03C3\u03B7 \u03C3\u03C7\u03B5\u03C4\u03B9\u03BA\u03AC \u03BC\u03B5 \u03C4\u03B1 \u03C0\u03B9\u03B8\u03B1\u03BD\u03AC \u03BC\u03B5\u03B3\u03AD\u03B8\u03B7 \u03C4\u03C9\u03BD \u03B1\u03C0\u03B5\u03AF\u03C1\u03C9\u03BD \u03C3\u03CD\u03BD\u03BF\u03BB\u03C9\u03BD. \u0395\u03BA\u03C6\u03C1\u03AC\u03B6\u03B5\u03B9 \u03CC\u03C4\u03B9: \u0394\u03B5\u03BD \u03C5\u03C0\u03AC\u03C1\u03C7\u03B5\u03B9 \u03C3\u03CD\u03BD\u03BF\u03BB\u03BF \u03C4\u03BF\u03C5 \u03BF\u03C0\u03BF\u03AF\u03BF\u03C5 \u03B7 \u03C0\u03BB\u03B7\u03B8\u03B9\u03BA\u03CC\u03C4\u03B7\u03C4\u03B1 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03B1\u03C5\u03C3\u03C4\u03B7\u03C1\u03AC \u03B1\u03BD\u03AC\u03BC\u03B5\u03C3\u03B1 \u03C3\u03C4\u03B9\u03C2 \u03C0\u03BB\u03B7\u03B8\u03B9\u03BA\u03CC\u03C4\u03B7\u03C4\u03B5\u03C2 \u03C4\u03BF\u03C5 \u03C3\u03C5\u03BD\u03CC\u03BB\u03BF\u03C5 \u03C4\u03C9\u03BD \u03B1\u03BA\u03B5\u03C1\u03B1\u03AF\u03C9\u03BD \u03B1\u03C1\u03B9\u03B8\u03BC\u03CE\u03BD \u03BA\u03B1\u03B9 \u03C4\u03BF\u03C5 \u03C3\u03C5\u03BD\u03CC\u03BB\u03BF\u03C5 \u03C4\u03C9\u03BD \u03C0\u03C1\u03B1\u03B3\u03BC\u03B1\u03C4\u03B9\u03BA\u03CE\u03BD \u03B1\u03C1\u03B9\u03B8\u03BC\u03CE\u03BD. \u0397 \u03C5\u03C0\u03CC\u03B8\u03B5\u03C3\u03B7 \u03C4\u03BF\u03C5 \u03C3\u03C5\u03BD\u03B5\u03C7\u03BF\u03CD\u03C2 \u03B1\u03BD\u03B1\u03C0\u03C4\u03CD\u03C7\u03B8\u03B7\u03BA\u03B5 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u0393\u03BA\u03AD\u03BF\u03C1\u03B3\u03BA \u039A\u03AC\u03BD\u03C4\u03BF\u03C1 \u03C4\u03BF 1878, \u03BA\u03B1\u03B9 \u03B7 \u03B5\u03BE\u03B1\u03BA\u03C1\u03AF\u03B2\u03C9\u03C3\u03B7 \u03B3\u03B9\u03B1 \u03C4\u03BF \u03B1\u03BD \u03B5\u03AF\u03BD\u03B1\u03B9 \u03B1\u03BB\u03B7\u03B8\u03AE\u03C2 \u03AE \u03C8\u03B5\u03C5\u03B4\u03AE\u03C2 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03C4\u03BF \u03C0\u03C1\u03CE\u03C4\u03BF \u03B1\u03C0\u03CC \u03C4\u03B1 23 \u03C0\u03C1\u03BF\u03B2\u03BB\u03AE\u03BC\u03B1\u03C4\u03B1 \u03C4\u03BF\u03C5 \u03A7\u03AF\u03BB\u03BC\u03C0\u03B5\u03C1\u03C4, \u03C0\u03BF\u03C5 \u03C0\u03B1\u03C1\u03BF\u03C5\u03C3\u03B9\u03AC\u03C3\u03C4\u03B7\u03BA\u03B1\u03BD \u03C4\u03BF 1900. \u0397 \u03B1\u03C0\u03AC\u03BD\u03C4\u03B7\u03C3\u03B7 \u03C3\u03C4\u03BF \u03C0\u03C1\u03CC\u03B2\u03BB\u03B7\u03BC\u03B1 \u03B1\u03C5\u03C4\u03CC \u03B5\u03AF\u03BD\u03B1\u03B9 \u03B1\u03BD\u03B5\u03BE\u03AC\u03C1\u03C4\u03B7\u03C4\u03B7 \u03B1\u03C0\u03CC \u03C4\u03B7 \u03B8\u03B5\u03C9\u03C1\u03AF\u03B1 \u03C3\u03C5\u03BD\u03CC\u03BB\u03C9\u03BD \u03C4\u03C9\u03BD Zermelo-Fraenkel (\u03C3\u03C5\u03BC\u03C0\u03B5\u03C1\u03B9\u03BB\u03B1\u03BC\u03B2\u03B1\u03BD\u03BF\u03BC\u03AD\u03BD\u03BF\u03C5 \u03C4\u03BF\u03C5 \u03B1\u03BE\u03B9\u03CE\u03BC\u03B1\u03C4\u03BF\u03C2 \u03C4\u03B7\u03C2 \u03B5\u03C0\u03B9\u03BB\u03BF\u03B3\u03AE\u03C2), \u03AD\u03C4\u03C3\u03B9 \u03CE\u03C3\u03C4\u03B5 \u03B5\u03AF\u03C4\u03B5 \u03B7 \u03C5\u03C0\u03CC\u03B8\u03B5\u03C3\u03B7 \u03C4\u03BF\u03C5 \u03C3\u03C5\u03BD\u03B5\u03C7\u03BF\u03CD\u03C2 \u03B5\u03AF\u03C4\u03B5 \u03B7 \u03AC\u03C1\u03BD\u03B7\u03C3\u03AE \u03C4\u03B7\u03C2 \u03BC\u03C0\u03BF\u03C1\u03BF\u03CD\u03BD \u03BD\u03B1 \u03C0\u03C1\u03BF\u03C3\u03C4\u03B5\u03B8\u03BF\u03CD\u03BD \u03C9\u03C2 \u03B1\u03BE\u03AF\u03C9\u03BC\u03B1 \u03C3\u03C4\u03B7  (\u03B3\u03B9\u03B1 \u03C3\u03C5\u03BD\u03C4\u03BF\u03BC\u03AF\u03B1, \u03B8\u03B5\u03C9\u03C1\u03AF\u03B1 \u03C3\u03C5\u03BD\u03CC\u03BB\u03C9\u03BD ZFC), \u03BA\u03B1\u03B9 \u03B7 \u03B8\u03B5\u03C9\u03C1\u03AF\u03B1 \u03C0\u03BF\u03C5 \u03C0\u03C1\u03BF\u03BA\u03CD\u03C0\u03C4\u03B5\u03B9 \u03B5\u03AF\u03BD\u03B1\u03B9 \u03BF\u03C1\u03B8\u03AE \u03B1\u03BD \u03BA\u03B1\u03B9 \u03BC\u03CC\u03BD\u03BF \u03B1\u03BD \u03B7 \u03B8\u03B5\u03C9\u03C1\u03AF\u03B1 \u03C3\u03C5\u03BD\u03CC\u03BB\u03C9\u03BD ZFC \u03B5\u03AF\u03BD\u03B1\u03B9 \u03BF\u03C1\u03B8\u03AE. \u0397 \u03B1\u03BD\u03B5\u03BE\u03B1\u03C1\u03C4\u03B7\u03C3\u03AF\u03B1 \u03B1\u03C5\u03C4\u03AE \u03B1\u03C0\u03BF\u03B4\u03B5\u03AF\u03C7\u03B8\u03B7\u03BA\u03B5 \u03C4\u03BF 1963 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD , \u03BF \u03BF\u03C0\u03BF\u03AF\u03BF\u03C2 \u03C3\u03C5\u03BC\u03C0\u03BB\u03AE\u03C1\u03C9\u03C3\u03B5 \u03AD\u03BD\u03B1 \u03C0\u03B1\u03BB\u03B1\u03B9\u03CC\u03C4\u03B5\u03C1\u03BF \u03AD\u03C1\u03B3\u03BF \u03C4\u03BF\u03C5 1940, \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u039A\u03BF\u03C5\u03C1\u03C4 \u0393\u03BA\u03AD\u03BD\u03C4\u03B5\u03BB. \u0397 \u03BF\u03BD\u03BF\u03BC\u03B1\u03C3\u03AF\u03B1 \u03C4\u03B7\u03C2 \u03C5\u03C0\u03CC\u03B8\u03B5\u03C3\u03B7\u03C2 \u03C0\u03C1\u03BF\u03AD\u03C1\u03C7\u03B5\u03C4\u03B1\u03B9 \u03B1\u03C0\u03CC \u03C4\u03BF\u03BD \u03CC\u03C1\u03BF  \u03B3\u03B9\u03B1 \u03C4\u03BF\u03C5\u03C2 \u03C0\u03C1\u03B1\u03B3\u03BC\u03B1\u03C4\u03B9\u03BA\u03BF\u03CD\u03C2 \u03B1\u03C1\u03B9\u03B8\u03BC\u03BF\u03CD\u03C2." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fi.dbpedia.org/resource/Kontinuumihypoteesi> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://lmo.dbpedia.org/resource/Ipotesi_del_continov> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://simple.dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fa.dbpedia.org/resource/\u0641\u0631\u0636\u06CC\u0647_\u067E\u06CC\u0648\u0633\u062A\u0627\u0631> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://da.dbpedia.org/resource/Kontinuumhypotesen> .
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<http://dbpedia.org/resource/Hilberts_first_problem>	<http://dbpedia.org/ontology/wikiPageRedirects>	<http://dbpedia.org/resource/Continuum_hypothesis> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://de.dbpedia.org/resource/Kontinuumshypothese> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://fr.dbpedia.org/resource/Hypoth\u00E8se_du_continu> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://sv.dbpedia.org/resource/Kontinuumhypotesen> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pl.dbpedia.org/resource/Hipoteza_continuum> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<https://global.dbpedia.org/id/1ymRt> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://he.dbpedia.org/resource/\u05D4\u05E9\u05E2\u05E8\u05EA_\u05D4\u05E8\u05E6\u05E3> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://d-nb.info/gnd/4481570-0/about/rdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://bs.dbpedia.org/resource/Hipoteza_kontinuuma> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://eo.dbpedia.org/resource/Kontinua\u0135a_hipotezo> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ja.dbpedia.org/resource/\u9023\u7D9A\u4F53\u4EEE\u8AAC> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://nl.dbpedia.org/resource/Continu\u00FCmhypothese> .
<http://dbpedia.org/resource/Index_of_philosophy_articles_(A\u2013C)>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://pms.dbpedia.org/resource/Ip\u00F2tesi_d\u00EBl_continuo> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Difficulty114408086> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ko.dbpedia.org/resource/\uC5F0\uC18D\uCCB4_\uAC00\uC124> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://ru.dbpedia.org/resource/\u041A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0438\u043F\u043E\u0442\u0435\u0437\u0430> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://d-nb.info/gnd/4743683-9/about/rdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2002/07/owl#sameAs>	<http://hu.dbpedia.org/resource/Kontinuumhipot\u00E9zis> .
<http://dbpedia.org/resource/Delirium_(2013_film)>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Paul_Cohen>	<http://dbpedia.org/ontology/knownFor>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"In de verzamelingenleer, een deelgebied van de wiskunde, is de continu\u00FCmhypothese een door Georg Cantor in 1877 geponeerde hypothese over de mogelijke grootte van oneindige verzamelingen. De hypothese luidt dat: Er bestaat geen verzameling, waarvan de kardinaliteit tussen de kardinaliteit van de gehele getallen en de kardinaliteit van de re\u00EBle getallen ligt. De continu\u00FCmhypothese stelt dat de kardinaliteit van de verzameling re\u00EBle getallen (het continu\u00FCm) het eerste overaftelbare kardinaalgetal is, oftewel het eerste kardinaalgetal groter dan de kardinaliteit van de natuurlijke getallen." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://math.stanford.edu/~feferman/papers/IsCHdefinite.pdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://archive.org/details/georgcantorhisma0000daub/page/134> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Set_Theory:_An_Introduction_to_Independence_Proofs> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Gillman544-553.pdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Ordinal_number> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://logic.harvard.edu/EFI_CH.pdf> .
<http://dbpedia.org/resource/Reductionism>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://logic.harvard.edu/EFI_Feferman_comments.pdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Cardinal_numbers> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Forcing_(mathematics)> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://www.biodiversitylibrary.org/page/39515382> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Undecidable_conjectures> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.math.helsinki.fi/logic/LC2003/presentations/foreman.pdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Category:Infinity> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.ams.org/notices/200106/fea-woodin.pdf> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En teoria de conjunts, la hip\u00F2tesi del continu (abreviada HC) \u00E9s una hip\u00F2tesi, proposada per Georg Cantor, sobre la cardinalitat del conjunt dels nombres reals (denominat continu per la recta real). Cantor introdu\u00ED el concepte de nombre cardinal per comparar la mida de conjunts infinits, demostrant el 1874 que el cardinal del conjunt dels enters \u00E9s estrictament inferior al dels nombres reals. El seg\u00FCent a preguntar-se \u00E9s si existeixen conjunts tals que la seva cardinalitat estigui estrictament inclosa entre els dos conjunts. La hip\u00F2tesi del continu diu: on |A| indica el cardinal d'A." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.ams.org/notices/200107/fea-woodin.pdf> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Cardinal_number> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Crelle\u0027s_Journal> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://web.archive.org/web/20170208073241/http:/planetmath.org/node/31184%7Cdate=2017-02-08> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Set_theory> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Ontological_maximalism> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<http://www.ii.com/math/ch/> .
<http://dbpedia.org/resource/Core_model>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Philosophy_of_mathematics> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_(set_theory)> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageExternalLink>	<https://archive.org/details/georgcantorhisma0000daub> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#label>	"\u041A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0438\u043F\u043E\u0442\u0435\u0437\u0430" .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"En teor\u00EDa de conjuntos, la hip\u00F3tesis del continuo es un enunciado relativo a la cardinalidad del conjunto de los n\u00FAmeros reales, formulado como una hip\u00F3tesis por Georg Cantor en 1878. Su enunciado afirma que no existen conjuntos infinitos cuyo tama\u00F1o est\u00E9 estrictamente comprendido entre el del conjunto de los n\u00FAmeros naturales y el del conjunto de los reales. El nombre continuo hace referencia al conjunto de los reales. La hip\u00F3tesis del continuo fue uno de los 23 problemas de Hilbert propuestos en 1900. Las contribuciones de Kurt G\u00F6del y Paul Cohen demostraron que es de hecho independiente de los axiomas de Zermelo-Fraenkel, el conjunto de axiomas est\u00E1ndar en teor\u00EDa de conjuntos." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Hypot\u00E9za kontinua (ozna\u010Dovan\u00E1 n\u011Bkdy jako CH (z anglick\u00E9ho Continuum Hypothesis)) je matematick\u00E9 tvrzen\u00ED formulovan\u00E9 poprv\u00E9 Georgem Cantorem v roce 1882. Toto tvrzen\u00ED se t\u00FDk\u00E1 ot\u00E1zky, zda existuje n\u011Bjak\u00E1 mno\u017Eina, jej\u00ED\u017E mohutnost je ost\u0159e mezi mohutnost\u00ED mno\u017Einy p\u0159irozen\u00FDch \u010D\u00EDsel a mohutnost\u00ED mno\u017Einy \u010D\u00EDsel re\u00E1ln\u00FDch (neboli kontinua), a odpov\u00EDd\u00E1 na ni z\u00E1porn\u011B."@cs .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. In Zermelo\u2013Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: . The name of the hypothesis comes from the term the continuum for the real numbers." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\u0641\u0631\u0636\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: continuum hypothesis) \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0648\u0646\u0638\u0631\u064A\u0629 \u0627\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u062D\u062F\u0633\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 \u0648\u062A\u062E\u062A\u0635\u0631 CH\u060C \u0647\u064A \u062A\u0635\u0648\u0631 \u0648\u0636\u0639\u0647 \u0627\u0644\u0631\u064A\u0627\u0636\u064A \u062C\u0648\u0631\u062C \u0643\u0627\u0646\u062A\u0648\u0631 \u0639\u0627\u0645 1878\u0639\u0646 \u0627\u0644\u0623\u062D\u062C\u0627\u0645 \u0627\u0644\u0645\u0645\u0643\u0646\u0629 \u0644\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u0626\u064A\u0629. \u0648\u062A\u0646\u0635 \u0639\u0644\u0649: (\u0644\u0627 \u064A\u0648\u062C\u062F \u0645\u062C\u0645\u0648\u0639\u0629 \u0639\u062F\u062F \u0639\u0646\u0627\u0635\u0631\u0647\u0627 \u0627\u0644\u0623\u0635\u0644\u064A\u0629 \u0645\u062D\u062F\u062F\u0629 \u0628\u0634\u0643\u0644 \u0635\u0627\u0631\u0645 \u0628\u064A\u0646 \u0627\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u0635\u062D\u064A\u062D\u0629 \u0648\u0627\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u062D\u0642\u064A\u0642\u064A\u0629). \u0625\u0646 \u062D\u062F\u0633\u064A\u0629 \u0627\u0644\u0627\u062A\u0635\u0627\u0644\u064A\u0629 \u0644\u0643\u0627\u0646\u062A\u0648\u0631 \u0647\u064A \u0628\u0628\u0633\u0627\u0637\u0629 \u0627\u0644\u062A\u0633\u0627\u0624\u0644: \u0643\u0645 \u0639\u062F\u062F \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0648\u062C\u0648\u062F\u0629 \u0639\u0644\u0649 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645 \u0641\u064A \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0625\u0642\u0644\u064A\u062F\u064A\u061F \u0623\u0648 \u0628\u0635\u064A\u063A\u0629 \u0623\u062E\u0631\u0649: \u0643\u0645 \u0639\u062F\u062F \u0627\u0644\u0645\u062C\u0645\u0648\u0639\u0627\u062A \u0627\u0644\u0645\u062E\u062A\u0644\u0641\u0629 \u0627\u0644\u0645\u0648\u062C\u0648\u062F\u0629 \u0644\u0644\u0623\u0639\u062F\u0627\u062F \u0627\u0644\u0635\u062D\u064A\u062D\u0629\u061F \u0641\u0647\u064A \u062A\u0633\u0627\u0624\u0644 \u0639\u0646 \u0645\u0642\u062F\u0627\u0631 \u0623\u0648 \u062D\u062C\u0645 \u0627\u0644\u0644\u0627\u0646\u0647\u0627\u064A\u0629."@ar .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Hipoteza continuum (CH, ang. continuum hypothesis) \u2013 postawiona w roku 1878 przez Georga Cantora hipoteza teorii mnogo\u015Bci dotycz\u0105ca mocy zbior\u00F3w liczb naturalnych i liczb rzeczywistych. Pos\u0142uguj\u0105c si\u0119 rozumowaniem przek\u0105tniowym, Cantor wykaza\u0142, \u017Ce moce powy\u017Cszych zbior\u00F3w nie s\u0105 r\u00F3wne. W jego dalszych rozwa\u017Caniach pojawi\u0142o si\u0119 nast\u0119puj\u0105ce, naturalne pytanie: \u201Eczy istnieje zbi\u00F3r, kt\u00F3rego moc jest wi\u0119ksza od mocy zbioru liczb naturalnych, a zarazem mniejsza od mocy zbioru liczb rzeczywistych?\u201D, jednak\u017Ce odpowied\u017A na nie okaza\u0142a si\u0119 by\u0107 daleko nieoczywista. Cantor wysun\u0105\u0142 hipotez\u0119 \u2013 zwan\u0105 w\u0142a\u015Bnie hipotez\u0105 continuum \u2013 \u017Ce takiego zbioru nie ma. Fakt, \u017Ce nie potrafi\u0142 on jej udowodni\u0107, sprawi\u0142, \u017Ce Cantor zw\u0105tpi\u0142 w sensowno\u015B\u0107 stworzonej przez siebie teorii mnogo\u015Bci." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\u5728\u6578\u5B78\u4E2D\uFF0C\u9023\u7E8C\u7D71\u5047\u8A2D\uFF08\u5FB7\u8A9E\uFF1AKontinuumshypothese\uFF1B\u82F1\u8A9E\uFF1AContinuum hypothesis\uFF0C\u7C21\u7A31CH\uFF09\u662F\u4E00\u500B\u731C\u60F3\uFF0C\u4E5F\u662F\u5E0C\u5C14\u4F2F\u7279\u768423\u4E2A\u95EE\u9898\u7684\u7B2C\u4E00\u984C\uFF0C\u7531\u5EB7\u6258\u5C14\u63D0\u51FA\uFF0C\u95DC\u65BC\u7121\u7AAE\u96C6\u7684\u53EF\u80FD\u5927\u5C0F\u3002\u5176\u70BA\uFF1A \u4E0D\u5B58\u5728\u4E00\u500B\u57FA\u6570\u7D55\u5C0D\u5927\u4E8E\u53EF\u6578\u96C6\u800C\u7D55\u5C0D\u5C0F\u4E8E\u5B9E\u6570\u96C6\u7684\u96C6\u5408\u3002 \u5EB7\u6258\u723E\u5F15\u5165\u4E86\u57FA\u6578\u7684\u6982\u5FF5\u4EE5\u6BD4\u8F03\u7121\u7AAE\u96C6\u9593\u7684\u5927\u5C0F\uFF0C\u4E5F\u8B49\u660E\u4E86\u6574\u6578\u96C6\u7684\u57FA\u6578\u7D55\u5C0D\u5C0F\u65BC\u5BE6\u96C6\u7684\u57FA\u6578\u3002\u5EB7\u6258\u723E\u4E5F\u5C31\u7D66\u51FA\u4E86\u9023\u7E8C\u7D71\u5047\u8A2D\uFF0C\u5C31\u662F\u8BF4\uFF0C\u5728\u65E0\u9650\u96C6\u4E2D\uFF0C\u6BD4\u81EA\u7136\u6570\u96C6\u57FA\u6570\u5927\u7684\u96C6\u5408\u4E2D\uFF0C\u57FA\u6570\u6700\u5C0F\u7684\u96C6\u5408\u662F\u5B9E\u6570\u96C6\u3002\u800C\u9023\u7E8C\u7D71\u5C31\u662F\u5BE6\u6578\u96C6\u7684\u4E00\u500B\u820A\u7A31\u3002 \u66F4\u52A0\u5F62\u5F0F\u5730\u8BF4\uFF0C\u81EA\u7136\u6570\u96C6\u7684\u57FA\u6570\u4E3A\uFF08\u8B80\u4F5C\u300C\u963F\u5217\u592B\u96F6\u300D\uFF09\u3002\u800C\u8FDE\u7EED\u7EDF\u5047\u8BBE\u7684\u89C2\u70B9\u8BA4\u4E3A\u5B9E\u6570\u96C6\u7684\u57FA\u6570\u4E3A\uFF08\u8B80\u4F5C\u300C\u963F\u5217\u592B\u58F9\u300D\uFF09\u3002\u4E8E\u662F\uFF0C\u5EB7\u6258\u5C14\u5B9A\u4E49\u4E86\u7EDD\u5BF9\u65E0\u9650\u3002 \u7B49\u50F9\u5730\uFF0C\u6574\u6578\u96C6\u7684\u57FA\u6570\u662F\u800C\u5BE6\u6578\u7684\u57FA\u6570\u662F\uFF0C\u9023\u7E8C\u7D71\u5047\u8A2D\u6307\u51FA\u4E0D\u5B58\u5728\u4E00\u500B\u96C6\u5408\u4F7F\u5F97 \u5047\u8A2D\u9078\u64C7\u516C\u7406\u662F\u5C0D\u7684\uFF0C\u90A3\u5C31\u6703\u6709\u4E00\u500B\u6700\u5C0F\u7684\u57FA\u6578\u5927\u65BC\uFF0C\u800C\u9023\u7E8C\u7D71\u5047\u8A2D\u4E5F\u5C31\u7B49\u50F9\u65BC\u4EE5\u4E0B\u7684\u7B49\u5F0F\uFF1A \u9023\u7E8C\u7D71\u5047\u8A2D\u6709\u500B\u66F4\u5EE3\u7FA9\u7684\u5F62\u5F0F\uFF0C\u53EB\u4F5C\u5EE3\u7FA9\u9023\u7E8C\u7D71\u5047\u8A2D\uFF08GCH\uFF09\uFF0C\u5176\u547D\u984C\u70BA\uFF1A \u5BF9\u4E8E\u6240\u6709\u7684\u5E8F\u6570, \u5EAB\u723E\u7279\u00B7\u54E5\u5FB7\u5C14\u57281940\u5E74\u7528\u5185\u6A21\u578B\u6CD5\u8BC1\u660E\u4E86\u8FDE\u7EED\u7EDF\u5047\u8BBE\u4E0EZFC\u7684\u76F8\u5BF9\u534F\u8C03\u6027\uFF08\u7121\u6CD5\u4EE5ZFC\u8B49\u660E\u70BA\u8AA4\uFF09\uFF0C\u4FDD\u7F85\u00B7\u67EF\u6069\u57281963\u5E74\u7528\u529B\u8FEB\u6CD5\u8BC1\u660E\u4E86\u8FDE\u7EED\u7EDF\u5047\u8BBE\u4E0D\u80FD\u7531ZFC\u63A8\u5BFC\u3002\u4E5F\u5C31\u662F\u8BF4\u8FDE\u7EED\u7EDF\u5047\u8BBE\u7368\u7ACB\u65BCZFC\u3002" .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"\u041A\u043E\u043D\u0442\u0438\u0301\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0301\u0442\u0435\u0437\u0430 \u2014 \u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430, \u044F\u043A\u0443 \u0432\u0438\u0441\u0443\u043D\u0443\u0432 \u0413\u0435\u043E\u0440\u0433 \u041A\u0430\u043D\u0442\u043E\u0440 \u0443 1877 \u0456 \u0437\u0433\u043E\u0434\u043E\u043C \u0431\u0435\u0437\u0443\u0441\u043F\u0456\u0448\u043D\u043E \u043D\u0430\u043C\u0430\u0433\u0430\u0432\u0441\u044F \u0457\u0457 \u0434\u043E\u0432\u0435\u0441\u0442\u0438, \u043C\u043E\u0436\u043D\u0430 \u0441\u0444\u043E\u0440\u043C\u0443\u043B\u044E\u0432\u0430\u0442\u0438 \u0442\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C: \u0411\u0443\u0434\u044C-\u044F\u043A\u0430 \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u0430 \u043F\u0456\u0434\u043C\u043D\u043E\u0436\u0438\u043D\u0430 \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C\u0443 \u0454 \u0430\u0431\u043E \u0437\u043B\u0456\u0447\u0435\u043D\u043D\u043E\u044E, \u0430\u0431\u043E \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0430\u043B\u044C\u043D\u043E\u044E. \u041A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430 \u0441\u0442\u0430\u043B\u0430 \u043F\u0435\u0440\u0448\u043E\u044E \u0437 \u0434\u0432\u0430\u0434\u0446\u044F\u0442\u0438 \u0442\u0440\u044C\u043E\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u043F\u0440\u043E\u0431\u043B\u0435\u043C, \u043F\u0440\u043E \u044F\u043A\u0456 \u0414\u0430\u0432\u0438\u0434 \u0413\u0456\u043B\u044C\u0431\u0435\u0440\u0442 \u0434\u043E\u043F\u043E\u0432\u0456\u0432 \u043D\u0430 II \u041C\u0456\u0436\u043D\u0430\u0440\u043E\u0434\u043D\u043E\u043C\u0443 \u041A\u043E\u043D\u0433\u0440\u0435\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0456\u0432 \u0432 \u041F\u0430\u0440\u0438\u0436\u0456 1900 \u0440\u043E\u043A\u0443. \u0422\u043E\u043C\u0443 \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u043E\u043C\u0430 \u0442\u0430\u043A\u043E\u0436 \u044F\u043A \u043F\u0435\u0440\u0448\u0430 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0430 \u0413\u0456\u043B\u044C\u0431\u0435\u0440\u0442\u0430. 1940 \u0440\u043E\u043A\u0443 \u041A\u0443\u0440\u0442 \u0413\u0435\u0434\u0435\u043B\u044C \u0434\u043E\u0432\u0456\u0432, \u0449\u043E \u0443 \u0441\u0438\u0441\u0442\u0435\u043C\u0456 \u0430\u043A\u0441\u0456\u043E\u043C \u0426\u0435\u0440\u043C\u0435\u043B\u043E\u2014\u0424\u0440\u0435\u043D\u043A\u0435\u043B\u044F \u0437 \u0430\u043A\u0441\u0456\u043E\u043C\u043E\u044E \u0432\u0438\u0431\u043E\u0440\u0443 (ZFC), \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0443 \u043D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0441\u043F\u0440\u043E\u0441\u0442\u0443\u0432\u0430\u0442\u0438 (\u0437\u0430 \u043F\u0440\u0438\u043F\u0443\u0449\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043D\u0435\u0441\u0443\u043F\u0435\u0440\u0435\u0447\u043D\u0456\u0441\u0442\u044C ZFC); \u0430 1963 \u0440\u043E\u043A\u0443 \u0430\u043C\u0435\u0440\u0438\u043A\u0430\u043D\u0441\u044C\u043A\u0438\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A  \u0434\u043E\u0432\u0456\u0432, \u0449\u043E \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0443 \u043D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0434\u043E\u0432\u0435\u0441\u0442\u0438, \u0432\u0438\u0445\u043E\u0434\u044F\u0447\u0438 \u0437 \u0442\u0438\u0445 \u0436\u0435 \u0430\u043A\u0441\u0456\u043E\u043C (\u0442\u0430\u043A\u043E\u0436 \u0443 \u043F\u0440\u0438\u043F\u0443\u0449\u0435\u043D\u043D\u0456 \u043F\u0440\u043E \u043D\u0435\u0441\u0443\u043F\u0435\u0440\u0435\u0447\u043D\u0456\u0441\u0442\u044C ZFC). \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430 \u043D\u0435 \u0437\u0430\u043B\u0435\u0436\u0438\u0442\u044C \u0432\u0456\u0434 \u0430\u043A\u0441\u0456\u043E\u043C ZFC." .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\u041A\u043E\u043D\u0442\u0438\u0301\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0301\u0442\u0435\u0437\u0430 \u2014 \u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430, \u044F\u043A\u0443 \u0432\u0438\u0441\u0443\u043D\u0443\u0432 \u0413\u0435\u043E\u0440\u0433 \u041A\u0430\u043D\u0442\u043E\u0440 \u0443 1877 \u0456 \u0437\u0433\u043E\u0434\u043E\u043C \u0431\u0435\u0437\u0443\u0441\u043F\u0456\u0448\u043D\u043E \u043D\u0430\u043C\u0430\u0433\u0430\u0432\u0441\u044F \u0457\u0457 \u0434\u043E\u0432\u0435\u0441\u0442\u0438, \u043C\u043E\u0436\u043D\u0430 \u0441\u0444\u043E\u0440\u043C\u0443\u043B\u044E\u0432\u0430\u0442\u0438 \u0442\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C: \u0411\u0443\u0434\u044C-\u044F\u043A\u0430 \u043D\u0435\u0441\u043A\u0456\u043D\u0447\u0435\u043D\u043D\u0430 \u043F\u0456\u0434\u043C\u043D\u043E\u0436\u0438\u043D\u0430 \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C\u0443 \u0454 \u0430\u0431\u043E \u0437\u043B\u0456\u0447\u0435\u043D\u043D\u043E\u044E, \u0430\u0431\u043E \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0430\u043B\u044C\u043D\u043E\u044E. \u041A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430 \u0441\u0442\u0430\u043B\u0430 \u043F\u0435\u0440\u0448\u043E\u044E \u0437 \u0434\u0432\u0430\u0434\u0446\u044F\u0442\u0438 \u0442\u0440\u044C\u043E\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u043F\u0440\u043E\u0431\u043B\u0435\u043C, \u043F\u0440\u043E \u044F\u043A\u0456 \u0414\u0430\u0432\u0438\u0434 \u0413\u0456\u043B\u044C\u0431\u0435\u0440\u0442 \u0434\u043E\u043F\u043E\u0432\u0456\u0432 \u043D\u0430 II \u041C\u0456\u0436\u043D\u0430\u0440\u043E\u0434\u043D\u043E\u043C\u0443 \u041A\u043E\u043D\u0433\u0440\u0435\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0456\u0432 \u0432 \u041F\u0430\u0440\u0438\u0436\u0456 1900 \u0440\u043E\u043A\u0443. \u0422\u043E\u043C\u0443 \u043A\u043E\u043D\u0442\u0438\u043D\u0443\u0443\u043C-\u0433\u0456\u043F\u043E\u0442\u0435\u0437\u0430 \u0432\u0456\u0434\u043E\u043C\u0430 \u0442\u0430\u043A\u043E\u0436 \u044F\u043A \u043F\u0435\u0440\u0448\u0430 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0430 \u0413\u0456\u043B\u044C\u0431\u0435\u0440\u0442\u0430." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Saying107151380> .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"\uC9D1\uD569\uB860\uC5D0\uC11C, \uC5F0\uC18D\uCCB4 \uAC00\uC124(\u9023\u7E8C\u9AD4\u5047\u8AAA, \uC601\uC5B4: continuum hypothesis, \uC57D\uC790 CH)\uC740 \uC2E4\uC218 \uC9D1\uD569\uC758 \uBAA8\uB4E0 \uBD80\uBD84 \uC9D1\uD569\uC740 \uAC00\uC0B0 \uC9D1\uD569\uC774\uAC70\uB098 \uC544\uB2C8\uBA74 \uC2E4\uC218 \uC9D1\uD569\uACFC \uD06C\uAE30\uAC00 \uAC19\uB2E4\uB294 \uBA85\uC81C\uC774\uB2E4. \uC9D1\uD569\uB860\uC758 \uD45C\uC900\uC801 \uACF5\uB9AC\uACC4\uB85C\uB294 \uC99D\uBA85\uD560 \uC218\uB3C4, \uBC18\uC99D\uD560 \uC218\uB3C4 \uC5C6\uB2E4." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"In matematica, l'ipotesi del continuo \u00E8 un'ipotesi avanzata da Georg Cantor che riguarda le dimensioni possibili per gli insiemi infiniti. Cantor introdusse il concetto di cardinalit\u00E0 e di numero cardinale (che possiamo immaginare come una \"dimensione\" dell'insieme) per confrontare tra loro insiemi transfiniti, e dimostr\u00F2 l'esistenza di insiemi infiniti di cardinalit\u00E0 diversa, come ad esempio i numeri naturali e i numeri reali. L'ipotesi del continuo afferma che: Non esiste nessun insieme la cui cardinalit\u00E0 \u00E8 strettamente compresa fra quella dei numeri interi e quella dei numeri reali." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"En matematiko, la kontinua\u0135a hipotezo (iam mallonge CH) estas hipotezo pri la eblaj ampleksoj de malfiniaj aroj. \u011Ci statas ke ne ekzistas aro kies kardinalo estas severe inter kardinalo de aro de entjeroj kaj kardinalo de aro de reelaj nombroj. La hipetezo estas de Georg Cantor de 1877. Kontrolado de vereco a\u016D malvereco de la kontinua\u0135a hipotezo estas la unua el la 23  prezentitaj en 1900. Laboroj de Kurt G\u00F6del en 1940 kaj  en 1963 montris ke la hipotezo povas esti nek pruvita nek malpruvita uzante la aksiomojn de , la norma fundamento de moderna matematiko, se la aroteorio estas . La nomo de la hipotezo venas de la termino \"\" por la aro de reelaj nombroj." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En th\u00E9orie des ensembles, l'hypoth\u00E8se du continu (HC), due \u00E0 Georg Cantor, affirme qu'il n'existe aucun ensemble dont le cardinal est strictement compris entre le cardinal de l'ensemble des entiers naturels et celui de l'ensemble des nombres r\u00E9els. En d'autres termes : tout ensemble strictement plus grand, au sens de la cardinalit\u00E9, que l'ensemble des entiers naturels doit contenir une \u00AB copie \u00BB de l'ensemble des nombres r\u00E9els." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/property/author>	"Szudzik, Matthew and Weisstein, Eric W." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"Kontinuumhypotesen \u00E4r ett m\u00E4ngdteoretiskt p\u00E5st\u00E5ende som bland annat har betydelse inom matematikfilosofin. Hypotesen \u00E4r att det inte existerar n\u00E5got kardinaltal som ligger mellan kardinaltalet f\u00F6r m\u00E4ngden av de hela talen, Alef-noll, och kardinaltalet f\u00F6r m\u00E4ngden av de reella talen, kontinuum. Ett f\u00E5tal nutida m\u00E4ngdteoretiker, framf\u00F6rallt , anser att en djupare f\u00F6rst\u00E5else av m\u00E4ngdl\u00E4ran kan leda till insikter som f\u00E5r oss att acceptera nya axiom som skulle kunna avg\u00F6ra kontinuumhypotesen. Bland s\u00E5dana \u00E4r tendensen numera snarare att tro att kontinuumhypotesen \u00E4r falsk \u00E4n att den \u00E4r sann."@sv .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states: There is no set whose cardinality is strictly between that of the integers and the real numbers. In Zermelo\u2013Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to the following equation in aleph numbers: . The continuum hypothesis was advanced by Georg Cantor in 1878, and establishing its truth or falsehood is the first of Hilbert's 23 problems presented in 1900. The answer to this problem is independent of ZFC, so that either the continuum hypothesis or its negation can be added as an axiom to ZFC set theory, with the resulting theory being consistent if and only if ZFC is consistent. This independence was proved in 1963 by Paul Cohen, complementing earlier work by Kurt G\u00F6del in 1940. The name of the hypothesis comes from the term the continuum for the real numbers." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En teor\u00EDa de conjuntos, la hip\u00F3tesis del continuo es un enunciado relativo a la cardinalidad del conjunto de los n\u00FAmeros reales, formulado como una hip\u00F3tesis por Georg Cantor en 1878. Su enunciado afirma que no existen conjuntos infinitos cuyo tama\u00F1o est\u00E9 estrictamente comprendido entre el del conjunto de los n\u00FAmeros naturales y el del conjunto de los reales. El nombre continuo hace referencia al conjunto de los reales." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"En th\u00E9orie des ensembles, l'hypoth\u00E8se du continu (HC), due \u00E0 Georg Cantor, affirme qu'il n'existe aucun ensemble dont le cardinal est strictement compris entre le cardinal de l'ensemble des entiers naturels et celui de l'ensemble des nombres r\u00E9els. En d'autres termes : tout ensemble strictement plus grand, au sens de la cardinalit\u00E9, que l'ensemble des entiers naturels doit contenir une \u00AB copie \u00BB de l'ensemble des nombres r\u00E9els." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/abstract>	"Hipoteza continuum (CH, ang. continuum hypothesis) \u2013 postawiona w roku 1878 przez Georga Cantora hipoteza teorii mnogo\u015Bci dotycz\u0105ca mocy zbior\u00F3w liczb naturalnych i liczb rzeczywistych. Pos\u0142uguj\u0105c si\u0119 rozumowaniem przek\u0105tniowym, Cantor wykaza\u0142, \u017Ce moce powy\u017Cszych zbior\u00F3w nie s\u0105 r\u00F3wne. W jego dalszych rozwa\u017Caniach pojawi\u0142o si\u0119 nast\u0119puj\u0105ce, naturalne pytanie: \u201Eczy istnieje zbi\u00F3r, kt\u00F3rego moc jest wi\u0119ksza od mocy zbioru liczb naturalnych, a zarazem mniejsza od mocy zbioru liczb rzeczywistych?\u201D, jednak\u017Ce odpowied\u017A na nie okaza\u0142a si\u0119 by\u0107 daleko nieoczywista. Cantor wysun\u0105\u0142 hipotez\u0119 \u2013 zwan\u0105 w\u0142a\u015Bnie hipotez\u0105 continuum \u2013 \u017Ce takiego zbioru nie ma. Fakt, \u017Ce nie potrafi\u0142 on jej udowodni\u0107, sprawi\u0142, \u017Ce Cantor zw\u0105tpi\u0142 w sensowno\u015B\u0107 stworzonej przez siebie teorii mnogo\u015Bci. W 1940 roku ukaza\u0142a si\u0119 praca Kurta G\u00F6dla, w kt\u00F3rej autor dowi\u00F3d\u0142, \u017Ce hipoteza continuum jest niesprzeczna z aksjomatami og\u00F3lnie przyj\u0119tej teorii mnogo\u015Bci Zermela-Fraenkla. W 1963 roku Paul Cohen udowodni\u0142 niezale\u017Cno\u015B\u0107 hipotezy continuum od wspomnianych aksjomat\u00F3w, co oznacza, \u017Ce nie popadaj\u0105c w sprzeczno\u015B\u0107, mo\u017Cna do nich do\u0142\u0105czy\u0107 zar\u00F3wno zdanie stwierdzaj\u0105ce prawdziwo\u015B\u0107 hipotezy, jak i jego zaprzeczenie. W nowoczesnym sformu\u0142owaniu (pod za\u0142o\u017Ceniem aksjomatu wyboru) hipotez\u0105 continuum nazywa si\u0119 nast\u0119puj\u0105ce zdanie: gdzie po lewej stronie r\u00F3wno\u015Bci znajduje si\u0119 , a po prawej \u2013 liczba kardynalna continuum. Uog\u00F3lniona hipoteza continuum (GCH, ang. generalized continuum hypothesis) to zdanie m\u00F3wi\u0105ce, \u017Ce dla \u017Cadnego zbioru niesko\u0144czonego  nie istnieje zbi\u00F3r  kt\u00F3rego moc by\u0142aby wi\u0119ksza od mocy zbioru  ale mniejsza od mocy zbioru pot\u0119gowego  Uog\u00F3lniona hipoteza continuum poci\u0105ga aksjomat wyboru. Jednym z jej nast\u0119pstw jest nast\u0119puj\u0105ce twierdzenie : Pod za\u0142o\u017Ceniem GCH dla ka\u017Cdej nieprzeliczalnej liczby kardynalnej  istnieje zwarta przestrze\u0144 Hausdorffa  ci\u0119\u017Caru  o tej w\u0142asno\u015Bci, \u017Ce ka\u017Cda przestrze\u0144 Banacha ci\u0119\u017Caru  jest izometrycznie izomorficzna z podprzestrzeni\u0105 liniow\u0105 przestrzeni  tj. przestrzeni Banacha funkcji ci\u0105g\u0142ych na  z norm\u0105 supremum." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/2000/01/rdf-schema#comment>	"En matematiko, la kontinua\u0135a hipotezo (iam mallonge CH) estas hipotezo pri la eblaj ampleksoj de malfiniaj aroj. \u011Ci statas ke ne ekzistas aro kies kardinalo estas severe inter kardinalo de aro de entjeroj kaj kardinalo de aro de reelaj nombroj. La hipetezo estas de Georg Cantor de 1877. Kontrolado de vereco a\u016D malvereco de la kontinua\u0135a hipotezo estas la unua el la 23  prezentitaj en 1900. Laboroj de Kurt G\u00F6del en 1940 kaj  en 1963 montris ke la hipotezo povas esti nek pruvita nek malpruvita uzante la aksiomojn de , la norma fundamento de moderna matematiko, se la aroteorio estas ." .
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<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Georg_Cantor> .
<http://dbpedia.org/resource/List_of_continuity-related_mathematical_topics>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Concept105835747> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Idea105833840> .
<http://dbpedia.org/resource/Cardinality_of_the_continuum>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/G\u00F6del\u0027s_incompleteness_theorems> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Kurt_G\u00F6del> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Cognition100023271> .
<http://dbpedia.org/resource/Generalized_continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://www.w3.org/1999/02/22-rdf-syntax-ns#type>	<http://dbpedia.org/class/yago/Attribute100024264> .
<http://dbpedia.org/resource/Parovicenko_space>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/History_of_logic>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Chapman_&_Hall> .
<http://dbpedia.org/resource/Continuum_hypothesis>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Paul_Cohen> .
<http://dbpedia.org/resource/Large_numbers>	<http://dbpedia.org/ontology/wikiPageWikiLink>	<http://dbpedia.org/resource/Continuum_hypothesis> .
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