{"id":1333,"date":"2026-08-17T00:50:00","date_gmt":"2026-08-16T15:50:00","guid":{"rendered":"https:\/\/onepress.co.kr\/?post_type=briefing&p=1333"},"modified":"2026-08-17T00:55:30","modified_gmt":"2026-08-16T15:55:30","slug":"2026-08-17-ai-erdos-unit-distance-disproof-vi","status":"publish","type":"briefing","link":"https:\/\/onepress.co.kr\/index.php\/briefing\/2026-08-17-ai-erdos-unit-distance-disproof-vi\/","title":{"rendered":"AI ph\u00e1 v\u1ee1 d\u1ef1 \u0111o\u00e1n Erd\u00f6s 80 tu\u1ed5i, \u0111\u01b0\u1ee3c con ng\u01b0\u1eddi x\u00e1c minh ch\u1ec9 sau m\u1ed9t c\u00e2u h\u1ecfi"},"content":{"rendered":"

2026-08-17 00:50 KST<\/strong><\/p>\n

Sau khi \u0111\u01b0\u1ee3c h\u1ecfi m\u1ed9t c\u00e2u h\u1ecfi duy nh\u1ea5t, m\u00f4 h\u00ecnh AI \u0111\u00e3 ph\u00e1 h\u1ee7y g\u1ea7n 80 n\u0103m ph\u1ecfng \u0111o\u00e1n li\u00ean quan \u0111\u1ebfn b\u00e0i to\u00e1n kho\u1ea3ng c\u00e1ch v\u00f2ng tr\u00f2n \u0111\u01a1n v\u1ecb c\u1ee7a Erd\u00f6s b\u1eb1ng m\u1ed9t ph\u1ea3n v\u00ed d\u1ee5.<\/p>\n

\u0110i\u1ec1u n\u00e0y kh\u00f4ng c\u00f3 ngh\u0129a l\u00e0 m\u1ecdi b\u00e0i to\u00e1n kh\u00f3 \u0111\u1ec1u \u0111\u01b0\u1ee3c gi\u1ea3i m\u1ed9t c\u00e1ch t\u1ef1 \u0111\u1ed9ng. C\u00e1c k\u1ebft qu\u1ea3 \u0111\u00e3 \u0111\u01b0\u1ee3c c\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u c\u1ee7a c\u00f4ng ty v\u00e0 c\u00e1c nh\u00e0 to\u00e1n h\u1ecdc \u0111\u1ed9c l\u1eadp xem x\u00e9t, \u0111\u1ed3ng th\u1eddi chi ti\u1ebft v\u1ec1 c\u00e1c m\u00f4 h\u00ecnh v\u00e0 t\u00e0i li\u1ec7u h\u1ecdc t\u1eadp \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng kh\u00f4ng \u0111\u01b0\u1ee3c ti\u1ebft l\u1ed9.<\/p>\n

V\u1ea5n \u0111\u1ec1 l\u00e0 g\u00ec?<\/h2>\n

\u0110\u00e2y l\u00e0 m\u1ed9t b\u00e0i to\u00e1n h\u00ecnh h\u1ecdc t\u1ed5 h\u1ee3p h\u1ecfi v\u1ec1 c\u00e1ch t\u00f4 m\u00e0u v\u00e0 c\u1ea5u tr\u00fac b\u1ecb gi\u1edbi h\u1ea1n trong bi\u1ec3u \u0111\u1ed3 kho\u1ea3ng c\u00e1ch v\u00f2ng tr\u00f2n \u0111\u01a1n v\u1ecb n\u1ed1i c\u00e1c \u0111i\u1ec3m tr\u00ean m\u1ed9t m\u1eb7t ph\u1eb3ng \u1edf m\u1ed9t kho\u1ea3ng c\u00e1ch kh\u00f4ng \u0111\u1ed5i. Nh\u00e0 to\u00e1n h\u1ecdc Paul Erd\u00f6s \u0111\u00e3 suy \u0111o\u00e1n t\u1eeb nh\u1eefng n\u0103m 1940 r\u1eb1ng m\u1ed9t d\u1ea1ng nh\u1ea5t \u0111\u1ecbnh s\u1ebd lu\u00f4n \u0111\u00fang, v\u00e0 trong nhi\u1ec1u th\u1eadp k\u1ef7 kh\u00f4ng c\u00f3 b\u1eb1ng ch\u1ee9ng t\u1ed5ng qu\u00e1t hay ph\u1ea3n v\u00ed d\u1ee5 n\u00e0o.<\/p>\n

AI \u0111\u00e3 l\u00e0m g\u00ec?<\/h2>\n

Sau khi c\u00e1c nh\u00e0 nghi\u00ean c\u1ee9u OpenAI tr\u00ecnh b\u00e0y v\u1ea5n \u0111\u1ec1 b\u1eb1ng ng\u00f4n ng\u1eef t\u1ef1 nhi\u00ean, m\u00f4 h\u00ecnh l\u00fd lu\u1eadn n\u1ed9i b\u1ed9 \u0111\u00e3 ph\u00e1t tri\u1ec3n c\u00e1ch x\u00e2y d\u1ef1ng ph\u1ea3n v\u00ed d\u1ee5 theo h\u01b0\u1edbng ch\u01b0a t\u1eebng c\u00f3 tr\u01b0\u1edbc \u0111\u00e2y. \u0110i\u1ec1u quan tr\u1ecdng l\u00e0 t\u00ecm ra c\u00e1c \u0111i\u1ec3m h\u1eefu h\u1ea1n v\u00e0 c\u00e1c c\u1ea5u tr\u00fac k\u1ebft n\u1ed1i th\u1ecfa m\u00e3n c\u00e1c \u0111i\u1ec1u ki\u1ec7n v\u00e0 ph\u00e1 v\u1ee1 k\u1ebft lu\u1eadn ph\u1ecfng \u0111o\u00e1n. C\u00e1c k\u1ebft qu\u1ea3 \u0111\u01b0\u1ee3c t\u1ed5 ch\u1ee9c th\u00e0nh c\u00e1c \u0111\u1ed1i s\u1ed1 m\u00e0 con ng\u01b0\u1eddi c\u00f3 th\u1ec3 \u0111\u1ecdc \u0111\u01b0\u1ee3c.<\/p>\n

\"AI
\u0110\u00e2y l\u00e0 h\u00ecnh \u1ea3nh \u0111\u01b0\u1ee3c t\u1ea1o ra \u0111\u1ec3 minh h\u1ecda m\u1ed9t ch\u1ee7 \u0111\u1ec1 v\u00e0 kh\u00f4ng ph\u1ea3i l\u00e0 \u1ea3nh ch\u1ee5p m\u1ed9t c\u1ea3nh ho\u1eb7c quan s\u00e1t th\u1ef1c t\u1ebf.<\/figcaption><\/figure>\n

B\u1ea1n \u0111\u00e3 ki\u1ec3m tra c\u00e2u tr\u1ea3 l\u1eddi \u0111\u00fang b\u1eb1ng c\u00e1ch n\u00e0o?<\/h2>\n

C\u00e1c nh\u00e0 to\u00e1n h\u1ecdc b\u00ean ngo\u00e0i c\u00f4ng ty \u0111\u00e3 xem x\u00e9t m\u1ed9t c\u00e1ch \u0111\u1ed9c l\u1eadp c\u00e1ch x\u00e2y d\u1ef1ng v\u00e0 logic \u0111\u1ec3 x\u00e1c nh\u1eadn r\u1eb1ng ph\u1ea3n v\u00ed d\u1ee5 \u0111\u00e1p \u1ee9ng c\u00e1c \u0111i\u1ec1u ki\u1ec7n. To\u00e1n h\u1ecdc c\u00f3 \u01b0u \u0111i\u1ec3m l\u00e0 c\u00e1c ph\u1ea7n c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ki\u1ec3m tra l\u1ea1i b\u1eb1ng t\u00ednh to\u00e1n ho\u1eb7c x\u00e1c minh h\u00ecnh th\u1ee9c. Tuy nhi\u00ean, n\u00f3 kh\u00f4ng \u0111\u01b0\u1ee3c gi\u1ea3i quy\u1ebft ch\u1ec9 th\u00f4ng qua \u0111\u1ea7u ra c\u1ee7a m\u00f4 h\u00ecnh v\u00e0 m\u1ecdi ng\u01b0\u1eddi \u0111\u00e3 tham gia v\u00e0o vi\u1ec7c x\u00e1c \u0111\u1ecbnh v\u1ea5n \u0111\u1ec1, ch\u1ee9ng minh \u0111\u1ecbnh l\u00fd v\u00e0 x\u00e1c minh c\u00f4ng khai.<\/p>\n

Nh\u1eefng g\u00ec ch\u01b0a \u0111\u01b0\u1ee3c ti\u1ebft l\u1ed9<\/h2>\n

C\u00f4ng ty \u0111\u00e3 ti\u1ebft l\u1ed9 b\u1eb1ng ch\u1ee9ng v\u00e0 gi\u1ea3i th\u00edch, nh\u01b0ng kh\u00f4ng ti\u1ebft l\u1ed9 m\u00f4 h\u00ecnh n\u1ed9i b\u1ed9 n\u00e0o h\u1ecd s\u1eed d\u1ee5ng ho\u1eb7c t\u1ea5t c\u1ea3 t\u00e0i li\u1ec7u h\u1ecdc t\u1eadp. Do \u0111\u00f3, r\u1ea5t kh\u00f3 \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 \u0111\u1ea7y \u0111\u1ee7 t\u1eeb b\u00ean ngo\u00e0i t\u00e1c \u0111\u1ed9ng c\u1ee7a t\u00e0i li\u1ec7u hi\u1ec7n c\u00f3 v\u00e0 kh\u1ea3 n\u0103ng t\u00e1i t\u1ea1o c\u1ee7a c\u00e1c m\u00f4 h\u00ecnh kh\u00e1c nhau. C\u1ed9ng \u0111\u1ed3ng to\u00e1n h\u1ecdc ch\u1ec9 ra r\u1eb1ng c\u00e1c quy t\u1eafc ghi c\u00f4ng, th\u1ecfa thu\u1eadn v\u00e0 x\u00e1c minh ph\u1ea3i theo k\u1ecbp t\u1ed1c \u0111\u1ed9 c\u1ee7a c\u00f4ng ngh\u1ec7.<\/p>\n

T\u1ea1i sao n\u00f3 quan tr\u1ecdng<\/h2>\n

\u0110\u00e2y l\u00e0 m\u1ed9t v\u00ed d\u1ee5 cho th\u1ea5y AI c\u00f3 th\u1ec3 v\u01b0\u1ee3t xa vi\u1ec7c t\u00f3m t\u1eaft c\u00e1c gi\u1ea3i ph\u00e1p \u0111\u00e3 bi\u1ebft v\u00e0 g\u00f3p ph\u1ea7n t\u00ecm ki\u1ebfm c\u00e1c ph\u1ea3n v\u00ed d\u1ee5 m\u1edbi. \u0110\u1ed3ng th\u1eddi, vi\u1ec7c c\u00f3 th\u1ec3 \u0111\u01b0a ra c\u00e2u tr\u1ea3 l\u1eddi hay m\u1ed9t l\u1ea7n kh\u00e1c v\u1edbi vi\u1ec7c c\u00f3 k\u1ef9 n\u0103ng nghi\u00ean c\u1ee9u nh\u1ea5t qu\u00e1n. C\u00e1c c\u00f4ng c\u1ee5 c\u00f3 s\u1eb5n c\u00f4ng khai, c\u00e1c th\u1eed nghi\u1ec7m c\u00f3 th\u1ec3 t\u00e1i t\u1ea1o v\u00e0 \u0111\u00e1nh gi\u00e1 ngang h\u00e0ng nghi\u00eam ng\u1eb7t l\u00e0 nh\u1eefng ti\u00eau ch\u00ed ti\u1ebfp theo.<\/p>\n

t\u00e0i li\u1ec7u ngu\u1ed3n ch\u00ednh th\u1ee9c<\/h2>\n

OpenAI result and proof<\/a><\/p>\n

Nature independent report<\/a><\/p>\n

Nature Machine Intelligence editorial<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

M\u00f4 h\u00ecnh suy lu\u1eadn n\u1ed9i b\u1ed9 c\u1ee7a OpenAI \u0111\u1ec1 xu\u1ea5t x\u00e2y d\u1ef1ng m\u1ed9t ph\u1ea3n v\u00ed d\u1ee5 cho ph\u1ecfng \u0111o\u00e1n c\u1ee7a Erd\u00f6s v\u1ec1 bi\u1ec3u \u0111\u1ed3 kho\u1ea3ng c\u00e1ch v\u00f2ng tr\u00f2n \u0111\u01a1n v\u1ecb v\u00e0 c\u00e1c nh\u00e0 to\u00e1n h\u1ecdc \u0111\u1ed9c l\u1eadp \u0111\u00e3 x\u00e1c nh\u1eadn l\u1eadp lu\u1eadn n\u00e0y, nh\u01b0ng chi ti\u1ebft v\u1ec1 m\u00f4 h\u00ecnh v\u00e0 t\u00e0i li\u1ec7u \u0111\u00e0o t\u1ea1o kh\u00f4ng \u0111\u01b0\u1ee3c c\u00f4ng khai.<\/p>\n","protected":false},"featured_media":0,"template":"","meta":[],"class_list":["post-1333","briefing","type-briefing","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/onepress.co.kr\/index.php\/wp-json\/wp\/v2\/briefing\/1333","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/onepress.co.kr\/index.php\/wp-json\/wp\/v2\/briefing"}],"about":[{"href":"https:\/\/onepress.co.kr\/index.php\/wp-json\/wp\/v2\/types\/briefing"}],"wp:attachment":[{"href":"https:\/\/onepress.co.kr\/index.php\/wp-json\/wp\/v2\/media?parent=1333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}