T\u1eeb kh\u00f3a t\u00ecm ki\u1ebfm: H\u00e3y Tr\u1ea3 L\u1eddi Em T\u1ea1i Sao? \u2013 T\u1eadp 10 – Arkady Leokum<\/p>\n\n\n\n
C\u00e2u tr\u1ea3 l\u1eddi \u0111\u01a1n gi\u1ea3n ch\u00ednh l\u00e0 v\u00f4 c\u1ef1c nh\u01b0ng trong nh\u1eefng n\u0103m 1870, nh\u00e0 to\u00e1n h\u1ecdc Georg Cantor \u0111\u00e3 \u0111\u01b0a ra m\u1ed9t l\u00fd lu\u1eadn xu\u1ea5t s\u1eafc cho th\u1ea5y s\u1ef1 t\u1ed3n t\u1ea1i c\u1ee7a nhi\u1ec1u lo\u1ea1i v\u00f4 c\u1ef1c kh\u00e1c nhau – m\u00e0 trong \u0111\u00f3 m\u1ed9t v\u00e0i s\u1ed1 v\u00f4 c\u1ef1c l\u1edbn h\u01a1n nh\u1eefng s\u1ed1 v\u00f4 c\u1ef1c kh\u00e1c r\u1ea5t nhi\u1ec1u. S\u1ed1 v\u00f4 c\u1ef1c \u201cnh\u1ecf nh\u1ea5t\u201d ch\u00ednh l\u00e0 lo\u1ea1i v\u00f4 c\u1ef1c \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n b\u1eb1ng vi\u1ec7c \u0111\u1ebfm m\u00e3i m\u00e3i: 0,1,2,3\u2026 T\u00ean c\u1ee7a lo\u1ea1i v\u00f4 c\u1ef1c n\u00e0y l\u00e0 Aleph-null (\u0111\u01b0\u1ee3c \u0111\u1eb7t t\u00ean sau k\u00ed hi\u1ec7u \u0111\u1ea7u ti\u00ean trong h\u1ec7 th\u1ed1ng ch\u1eef c\u00e1i Hebrew) v\u00e0 ch\u00ednh l\u00e0 t\u00ean g\u1ecdi ban \u0111\u1ea7u c\u1ee7a c\u1ee7a c\u00e1i m\u00e0 Cantor g\u1ecdi l\u00e0 nh\u1eefng s\u1ed1 h\u1eefu h\u1ea1n chuy\u1ec3n \u0111\u1ed5i. Nh\u1eefng s\u1ed1 n\u00e0y c\u00f3 m\u1ed9t s\u1ed1 \u0111\u1eb7c t\u00ednh th\u1eadt s\u1ef1 k\u00ec l\u1ea1. V\u00ed d\u1ee5, c\u1ed9ng th\u00eam m\u1ed9t Aleph-null v\u00e0o ch\u00ednh n\u00f3 (t\u1ee9c l\u00e0 nh\u00e2n \u0111\u00f4i m\u1ed9t Aleph-null) ch\u1ec9 \u0111\u01a1n gi\u1ea3n l\u00e0 l\u1ea1i sinh ra m\u1ed9t Aleph-null, cho n\u00ean vi\u1ec7c nh\u00e2n Aleph-null v\u1edbi ch\u00ednh n\u00f3 (t\u1ee9c l\u00e0 b\u00ecnh ph\u01b0\u01a1ng Aleph-null) c\u0169ng gi\u1ed1ng nh\u01b0 v\u1eady.<\/p>\n\n\n\n
Nh\u01b0ng \u0111\u00f3 ch\u1ec9 m\u1edbi l\u00e0 b\u1eaft \u0111\u1ea7u, Cantor c\u00f2n ch\u1ec9 ra r\u1eb1ng c\u00f3 nh\u1eefng s\u1ed1 v\u00f4 c\u1ef1c kh\u00e1c l\u1edbn h\u01a1n, b\u1eaft \u0111\u1ea7u b\u1edfi m\u1ed9t Aleph-null – m\u1ed9t con s\u1ed1 l\u1edbn \u0111\u1ebfn n\u1ed7i n\u00f3 kh\u00f4ng \u0111\u01b0\u1ee3c \u0111\u1ea1t \u0111\u1ebfn b\u1eb1ng vi\u1ec7c \u0111\u1ebfm trong m\u1ed9t l\u01b0\u1ee3ng th\u1eddi gian v\u00f4 h\u1ea1n. \u0110i\u1ec1u \u0111\u00f3 c\u00f3 ngh\u0129a r\u1eb1ng c\u00f3 m\u1ed9t s\u1ed1 v\u00f4 c\u1ef1c c\u1ee7a nh\u1eefng s\u1ed1 v\u00f4 c\u1ef1c h\u01a1n, m\u00e0 s\u1ed1 v\u00f4 c\u1ef1c n\u00e0y s\u1ebd l\u1edbn h\u01a1n s\u1ed1 v\u00f4 c\u1ef1c k\u1ebf n\u00f3, cho t\u1edbi cu\u1ed1i c\u00f9ng khi c\u00f3 m\u1ed9t s\u1ed1 v\u00f4 c\u1ef1c \u0111\u1ea1t \u0111\u01b0\u1ee3c m\u1ee9c \u0111\u1ed9 l\u1edbn nh\u1ea5t, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 V\u00f4 c\u1ef1c tuy\u1ec7t \u0111\u1ed1i, k\u00ed hi\u1ec7u l\u00e0 Omega. Con s\u1ed1 n\u00e0y l\u1edbn \u0111\u1ebfn n\u1ed7i n\u00f3 kh\u00f4ng th\u1ec3 m\u00f4 t\u1ea3 theo ngh\u0129a \u0111en. Th\u1eadt v\u1eady, \u0111\u1ecbnh ngh\u0129a c\u1ee7a n\u00f3 d\u1ef1a tr\u00ean \u00fd t\u01b0\u1edfng r\u1eb1ng b\u1ea5t k\u00ec s\u1ef1 c\u1ed1 g\u1eafng n\u00e0o \u0111\u1ec3 m\u00f4 t\u1ea3 n\u00f3 ch\u1ec9 c\u00f3 th\u1ec3 l\u00e0 \u0111ang m\u00f4 t\u1ea3 nh\u1eefng s\u1ed1 nh\u1ecf h\u01a1n th\u00f4i.<\/p>\n","protected":false},"excerpt":{"rendered":"
T\u1eeb kh\u00f3a t\u00ecm ki\u1ebfm: H\u00e3y Tr\u1ea3 L\u1eddi Em T\u1ea1i Sao? \u2013 T\u1eadp 10 – Arkady Leokum C\u00e2u tr\u1ea3 l\u1eddi \u0111\u01a1n gi\u1ea3n ch\u00ednh l\u00e0 v\u00f4 c\u1ef1c nh\u01b0ng trong nh\u1eefng n\u0103m 1870, nh\u00e0 to\u00e1n h\u1ecdc Georg Cantor \u0111\u00e3 \u0111\u01b0a ra m\u1ed9t l\u00fd lu\u1eadn xu\u1ea5t s\u1eafc cho th\u1ea5y s\u1ef1 t\u1ed3n t\u1ea1i c\u1ee7a nhi\u1ec1u lo\u1ea1i v\u00f4 c\u1ef1c kh\u00e1c nhau […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[15],"tags":[],"class_list":["post-16121","post","type-post","status-publish","format-standard","hentry","category-hoi-dap-khoa-hoc"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16121","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=16121"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16121\/revisions"}],"predecessor-version":[{"id":16122,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/16121\/revisions\/16122"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=16121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=16121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=16121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}