{"id":8510,"date":"2009-09-30T02:11:00","date_gmt":"2009-09-30T02:11:00","guid":{"rendered":"http:\/\/melotopia.net\/b\/?p=8510"},"modified":"2009-09-30T02:11:00","modified_gmt":"2009-09-30T02:11:00","slug":"%ed%8b%b0%eb%81%8c-%eb%aa%a8%ec%95%84-%ed%83%9c%ec%82%b0-1","status":"publish","type":"post","link":"http:\/\/melotopia.net\/b\/?p=8510","title":{"rendered":"\ud2f0\ub04c \ubaa8\uc544 \ud0dc\uc0b0 (1)"},"content":{"rendered":"
\n \ub204\uad70\uac00 \ub098\uc5d0\uac8c \uc9c8\ubb38\ud558\uc600\ub2e4. \uc9c8\ubb38\uc744 \uc694\uc57d\ud558\uc790\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n
\n \uc120\uc740 \uc810\uc758 \uc9d1\ud569\uc785\ub2c8\ub2e4. \uc810\uc740 \ud06c\uae30\uac00 \uc5c6\ub294 \uac83\uc774\uace0, \uc120\uc740 “\uae38\uc774”\ub77c\ub294 \ud06c\uae30\uac00 \uc788\uc2b5\ub2c8\ub2e4.
\n
\n \uadf8\ub807\ub2e4\uba74, \ud06c\uae30\uac00 \uc5c6\ub294 \uac83\uc744 \ubaa8\uc544\uc11c \ud06c\uae30\uac00 \uc788\ub294 \uac83\uc744 \ub9cc\ub4e0\ub2e4\ub294 \ub73b\uc778\ub370
\n
\n 0 + 0 + … = 1
\n
\n 0\uc744 \uc544\ubb34\ub9ac \ub9ce\uc774 \ub354\ud558\ub354\ub77c\ub3c4 0\uc774\uc5b4\uc57c \ud558\ub294\ub370, \uc774\uac74 \uc774\uc0c1\ud558\uc9c0 \uc54a\ub098\uc694?
\n \n<\/div>\n

\n \ub4e3\uace0\ubcf4\ub2c8 \uc774\uc0c1\ud558\ub2e4.<\/p>\n

\uadf8\ub7f0\ub370 \uc0ac\uc2e4 \uc774\uac78 \uc81c\ub300\ub85c \uc774\ud574\ud558\ub824\uba74 \uc218\ud559\uc5d0\uc11c\uc758 \uce21\ub3c4\ub860(Measure Theory)\uc774\ub77c\ub294 \uac83\uc744 \uc880 \uacf5\ubd80\ud574 \ubcfc \ud544\uc694\uac00 \uc788\ub2e4. \ucd08\ub4f1\ud559\uc0dd\uc5d0\uac8c \uc774\uac83\uc744 \uc774\ud574\uc2dc\ud0a4\ub294 \uac83\uc740 \ub0b4 \ub2a5\ub825\uc73c\ub85c\ub294 \ubd88\uac00\ub2a5\ud558\ub2e4. (\ub098\ub3c4 \ub300\uac15 \uc774\ud574\ud558\uace0 \ub118\uc5b4\uac04 \ubd80\ubd84\uc774\ub77c\uc11c…) \uadf8\ub798\uc11c \ucd08\ub4f1\ud559\uc0dd\ub3c4 \uc774\ud574\ud560 \uc218 \uc788\ub294 \uc124\uba85\uc744 \uace0\ubbfc\ud558\ub2e4\uac00 \uc774 \uae00\uc744 \uc4f0\uac8c \ub418\uc5c8\ub2e4.<\/p>\n

“\ud06c\uae30”\ub97c \uc54c\uae30 \uc704\ud574\uc11c, \ub3c4\ub300\uccb4 \ud06c\uae30\ub97c \uc5b4\ub5bb\uac8c \uc815\uc758\ud560 \uac83\uc778\uac00\ubd80\ud130 \uc0dd\uac01\ud574\uc57c \ud55c\ub2e4. \uc77c\ubc18\uc801\uc73c\ub85c, “\ud06c\uae30”\ub77c\ub294 \uac83\uc740 \uc22b\uc790 1\uac1c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8\ub9ac\uace0 \uc22b\uc790 1\uac1c\ub294 \uc591\uc218\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. “\ud06c\uae30”\ub77c\uace0 \ubd80\ub974\ub294 \uac83\uc740, \ub530\ub77c\uc11c \uc5b4\ub5a4 \ud568\uc218 \uad00\uacc4\ub97c \ub098\ud0c0\ub0b4\ub294 \uac83\uc774\ub2e4. \uc9d1\ud569\uc744 \ud558\ub098 \uc8fc\uba74, \uc6b0\ub9ac\ub294 “\ud06c\uae30”\ub97c \uc7ac\ub294 \ud568\uc218\uc5d0 \ub530\ub77c \uc5b4\ub5a4 \uc218\ub97c \ud558\ub098 \uc54c\uac8c \ub418\ub294\ub370, \uadf8 \uc218\uac00 \ubc14\ub85c “\ud06c\uae30”\ub77c\uace0 \ubd80\ub974\ub294 \uc218\uc774\ub2e4. \ub9cc\uc57d, \ub450 \uc9d1\ud569\uc774 \uc11c\ub85c \uacb9\uce58\uc9c0 \uc54a\uc558\ub2e4\uba74, \ub450 \uc9d1\ud569\uc758 \ud569\uc9d1\ud569\uc758 \ud06c\uae30\ub294 \ub450 \uc9d1\ud569\uc758 \ud06c\uae30\ub97c \uadf8\ub0e5 \ub354\ud558\uba74 \ub420 \uac83\uc774\ub2e4. \ub610\ud55c, \uacf5\uc9d1\ud569\uc758 \ud06c\uae30\ub294 0\uc774 \ub420 \uac83\uc774\ub2e4. \ud558\uc9c0\ub9cc \uc774\ub7f0 \uac83\ub4e4\uc740 “\ud06c\uae30”\ub77c\uace0 \ubd80\ub974\ub294 \ud568\uc218\uac00 \uac16\uace0 \uc788\ub294 \ud2b9\uc9d5\uc77c \ubfd0, \uc2e4\uc81c\ub85c \uadf8 \ud568\uc218 \uc790\uccb4\ub97c \uc54c\ub824\uc8fc\uc9c0\ub294 \uc54a\ub294\ub2e4. \uc774\ub7ec\ud55c \ud2b9\uc9d5\uc744 \ub9cc\uc871\ud558\ub3c4\ub85d \uc6b0\ub9ac\uac00 \uc798 \uc815\ud574\uc11c \uc368\uba39\uc5b4\uc57c \ud560 \uac83\uc774\ub2e4.<\/p>\n

\ub9ce\uc740 \uc218\ud559\uc790\ub4e4\uc740 \uc5b4\ub5a4 \uac83\ub4e4\uc758 \ud06c\uae30\ub97c \uc7ac\uae30 \uc704\ud574\uc11c \ub9ce\uc740 \ubc29\ubc95\uc744 \uace0\ub824\ud574 \uc654\ub2e4. \uc774\ub7ec\ud55c \ubc29\ubc95\uc740, \ub354\uad70\ub2e4\ub098 \ub208\uc5d0 \ubcf4\uc774\uc9c0 \uc54a\ub294 \uc218\ud559\uc801 \uc9d1\ud569\uc744 \ub2e4\ub8e8\ub294 \uac83\uc774\ub77c, \ub204\uac00 \ubcf4\ub354\ub77c\ub3c4 \ud655\uc2e4\ud788 \uc54c \uc218 \uc788\ub294, \uadf8\ub7f0 \uba85\ud655\ud55c \uc815\uc758\ub97c \uac16\uace0 \uc788\uc5b4\uc57c \ud55c\ub2e4.<\/p>\n

\uac00\ub839, 1\uc774\ub77c\ub294 \uc218\uc640 2\ub77c\ub294 \uc218 \uc0ac\uc774\uc758 \uc810\ub4e4\uc744 \ubaa8\ub450 \ubaa8\uc544\ub454 \uc120\ubd84\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790. \uc0c1\uc2dd\uc801\uc73c\ub85c, \uc774 \uc120\ubd84\uc758 \uae38\uc774\ub294 1\uc774\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\uc744 \uac83\uc774\ub2e4. \uadf8\ub7fc, \uc774\uc81c 3\uc774\ub77c\ub294 \uc218\uc640 4\ub77c\ub294 \uc218 \uc0ac\uc774\uc758 \uc810\ub4e4\uc744 \ubaa8\ub450 \ubaa8\uc544\ub454 \uc120\ubd84\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790. \uc774 \uc120\ubd84\uc758 \uae38\uc774 \ub610\ud55c 1\uc774\ub77c\uace0 \ub9d0\ud560 \uc218 \uc788\ub2e4. \uadf8\ub807\ub2e4\uba74, \ubc29\uae08 \uc0dd\uac01\ud574\ubcf8 \ub450 \uc120\ubd84\uc758 \ud569\uc9d1\ud569\uc740 \uc5b4\ub5a8\uae4c? 1\ubd80\ud130 4\uae4c\uc9c0 \uc0ac\uc774\uc758 \uc810\ub4e4\uc744 \ubaa8\uc544\ub450\uae30\ub294 \ud588\uc9c0\ub9cc, 2\ubd80\ud130 3\uae4c\uc9c0\uc5d0 \ud574\ub2f9\ud558\ub294 \uad6c\uac04\uc5d0\ub294 \uc810\ub4e4\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\ub294\ub2e4. \uc774 \uc120\ubd84\uc758 \uae38\uc774\ub294 \ubb50\ub77c\uace0 \uc815\ud558\ub294 \uac83\uc774 \uc88b\uc744\uae4c? 1? 2? 3?<\/p>\n

\ubb50. \uc774\ub7f0 \ubb38\uc81c\ub294 \uc0c1\uc2dd\uc801\uc73c\ub85c 2\ub77c\uace0 \uc815\ud558\ub294 \uac83\uc774 \uc88b\ub2e4. \uc804\uccb4\uc801\uc73c\ub85c\ub294 3\uc758 \uae38\uc774\uc774\uc9c0\ub9cc 1\ub9cc\ud07c\uc758 \uae38\uc774\uc5d0 \ud574\ub2f9\ud558\ub294 \ubd80\ubd84\uc774 \ube60\uc838\uc788\uae30 \ub54c\ubb38\uc774\ub2e4. \ub530\ub77c\uc11c 3 – 1 = 2 \ub77c\uace0 \ud55c\ub2e4. \uc5ec\uae30\uc11c, “\uc5c6\ub294 \ubd80\ubd84\uc740 \uc138\uc9c0 \ub9d0\uc790”\ub294 \uaddc\uce59\uc774 \ub098\uc62c \uc218 \uc788\uc744 \uac83\uc774\ub2e4.<\/p>\n

\ub2e4\uc74c\uacfc \uac19\uc740 \uac83\uc744 \uc0dd\uac01\ud574 \ubcf4\uc790.
\n <\/p>\n

\n\"\"\n<\/div>\n

\n \uc720\uba85\ud55c \uc218\ud559\uc790\uc778 George Cantor\uac00 \uc81c\uc548\ud55c \uc608\uc81c\uc774\ub2e4. \uac00\uc7a5 \uc704\ucabd\uc758 \uc120\ubd84\uc5d0\uc11c \ucd9c\ubc1c\ud558\ub294\ub370, \uac01 \uc870\uac01\uc744 \ub9e4\ubc88 3\ub4f1\ubd84 \ud558\uba74\uc11c \uac00\uc6b4\ub370 \uc870\uac01\uc740 \ube7c\ubc84\ub9b0\ub2e4. \uc774 \uacfc\uc815\uc744 “\ubb34\ud55c\ud788” \ub9ce\uc774 \ubc18\ubcf5\ud55c \ud6c4\uc758 \uacb0\uacfc\ubb3c\uc744 “\uce78\ud1a0\uc5b4 \uc9d1\ud569”\uc774\ub77c\uace0 \ubd80\ub978\ub2e4. (\ub2e4\uc2dc\ud55c\ubc88 \ub9d0\ud558\uc9c0\ub9cc, \ubb34\ud55c\ud788 \ub9ce\uc774 \ubc18\ubcf5\ud558\uc5ec\uc57c \ud55c\ub2e4. \uc774 \uacfc\uc815\uc758 \uc911\uac04 \uacb0\uacfc\ubb3c\uc740 \uce78\ud1a0\uc5b4 \uc9d1\ud569\uc774 \uc544\ub2c8\ub2e4.)<\/p>\n

\ubb50, \uac00\uc7a5 \uc704\ucabd\uc758 \uc120\ubd84\uc758 \uae38\uc774\ub97c 1\uc774\ub77c\uace0 \ud574 \ubcf4\uc790. \ub450\ubc88\uc9f8 \uacb0\uacfc\ubb3c\uc740 2\/3\uc774 \ub420 \uac83\uc774\ub2e4. \uc138\ubc88\uc9f8 \uacb0\uacfc\ubb3c\uc740 4\/9\uac00 \ub420 \uac83\uc774\ub2e4. \uc774\ub7f0\uc2dd\uc73c\ub85c 2\/3\ubc30\uac00 \ub418\uba74\uc11c \uc810\uc810 \uae38\uc774\ub294 \uc9e7\uc544\uc9c4\ub2e4. \uadf8\ub807\ub2e4\uba74, \uc774 \uacfc\uc815\uc744 \ubb34\ud55c\ud788 \ubc18\ubcf5\ud55c \ud6c4\uc758 \uacb0\uacfc\ubb3c\uc758 \uc804\uccb4 \ud06c\uae30\ub294? 0\uc774\ub77c\uace0 \ubcf4\ub294 \uac83\uc774 \ud0c0\ub2f9\ud560 \uac83\uc774\ub2e4. \uc989, \uc704\uc640 \uac19\uc740 \uc9d1\ud569\uc740 \uadf8 \ud06c\uae30\uac00 \uc788\uc744 \ubc95\ub3c4 \ud55c\ub370 0\uc774\ub2e4.<\/p>\n

\uc7a0\uae50. \ube7c\uba39\uc740 \uc9d1\ud569\uc774 \uc788\ub294\ub370. \uc720\uba85\ud55c \uc9d1\ud569\uc774\ub2e4. “0\uacfc 1\uc0ac\uc774\uc758 \ubaa8\ub4e0 \uc720\ub9ac\uc218\ub97c \ubaa8\uc544\ub454 \uc9d1\ud569”\uc774\ub77c\ub294 \ub188\uc774\ub2e4. \uc774\ub188\uc758 \ud06c\uae30\ub294? \uc5b4\ub5bb\uac8c \ud558\uc9c0? 0\uc778\uac00? 1\uc778\uac00? \uc544\ub2c8\uba74 \uadf8 \uc0ac\uc774\uc5d0 \uc5b4\ub5a4 \uac12? \uc544\ub2c8\uba74 1\ubcf4\ub2e4 \ud070\uac00?? \uc74c…\ub2f5\ubd80\ud130 \ub9d0\ud558\uc790\uba74, \uc774 \uc9d1\ud569\uc758 \ud06c\uae30\ub294 0\uc774\ub2e4. \uadf8\uac78 \ub9d0\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc0dd\uac01\ud574 \ubd10\uc57c \ud55c\ub2e4.<\/p>\n

\uac00\ub839, \uc9c1\uc120 \uc704\uc758 \uc9d1\ud569\uc73c\ub85c {0}\uc744 \uc0dd\uac01\ud55c\ub2e4\uba74, \uc774 \uc9d1\ud569\uc758 “\ud06c\uae30”\ub294 0\uc774 \ub41c\ub2e4. \uc65c\ub0d0\ud558\uba74 0\ubd80\ud130 0\uae4c\uc9c0\uc758 \uae38\uc774\ub294 0\uc774\uae30 \ub54c\ubb38\uc774\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c, \uadf8\ub0e5 \uba87\uac1c\uc758 \uc218\ub97c \ubaa8\uc544\ub454 {0, 4, 3, 12}\uac19\uc740 \uc9d1\ud569\uc758 \ud06c\uae30\ub3c4 0\uc774\ub2e4. \ud06c\uae30\uac00 0\uc778 \uc9d1\ud569 4\uac1c\uc758 \ud569\uc9d1\ud569\uc774\uae30 \ub54c\ubb38\uc774\ub2e4. \uadf8\ub7fc, \ud06c\uae30\uac00 0\uc778 \uc9d1\ud569\uc744 \ubb34\ud55c\ud788 \ub9ce\uc774 \ubaa8\uc544\ub450\uba74 \uc5bc\ub9c8\ub098 \ucee4\uc9c8\uae4c?<\/p>\n

(\ub2e4\uc74c \uae00\uc5d0\uc11c…)
\n <\/p>\n

\n
\n
\n\"\uc2e0\uace0\"
\n<\/a>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\ub204\uad70\uac00 \ub098\uc5d0\uac8c \uc9c8\ubb38\ud558\uc600\ub2e4. \uc9c8\ubb38\uc744 \uc694\uc57d\ud558\uc790\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4. \uc120\uc740 \uc810\uc758 \uc9d1\ud569\uc785\ub2c8\ub2e4. \uc810\uc740 \ud06c\uae30\uac00 \uc5c6\ub294 \uac83\uc774\uace0, \uc120\uc740 “\uae38\uc774”\ub77c\ub294 \ud06c\uae30\uac00 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub807\ub2e4\uba74, \ud06c\uae30\uac00 \uc5c6\ub294 \uac83\uc744 \ubaa8\uc544\uc11c \ud06c\uae30\uac00 \uc788\ub294 \uac83\uc744 \ub9cc\ub4e0\ub2e4\ub294 \ub73b\uc778\ub370 0 + 0 + … = 1 0\uc744 \uc544\ubb34\ub9ac \ub9ce\uc774 \ub354\ud558\ub354\ub77c\ub3c4 0\uc774\uc5b4\uc57c \ud558\ub294\ub370, \uc774\uac74 \uc774\uc0c1\ud558\uc9c0 \uc54a\ub098\uc694? \ub4e3\uace0\ubcf4\ub2c8 \uc774\uc0c1\ud558\ub2e4. \uadf8\ub7f0\ub370 \uc0ac\uc2e4 \uc774\uac78 \uc81c\ub300\ub85c \uc774\ud574\ud558\ub824\uba74 \uc218\ud559\uc5d0\uc11c\uc758 \uce21\ub3c4\ub860(Measure Theory)\uc774\ub77c\ub294 \uac83\uc744 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-8510","post","type-post","status-publish","format-standard","hentry","category-academic"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8o6gA-2dg","jetpack-related-posts":[],"jetpack_likes_enabled":true,"_links":{"self":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/8510","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8510"}],"version-history":[{"count":0,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=\/wp\/v2\/posts\/8510\/revisions"}],"wp:attachment":[{"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8510"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8510"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/melotopia.net\/b\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8510"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}