• MySQL server version: 5.0.92-community collapsCat options: Array ( [title] => Категории [showPostCount] => [inExclude] => exclude [inExcludeCats] => [showPosts] => [showPages] => [linkToCat] => 1 [olderThan] => 0 [excludeAll] => 0 [catSortOrder] => ASC [catSort] => catName [postSortOrder] => ASC [postSort] => postTitle [expand] => 2 [defaultExpand] => [debug] => 1 [postTitleLength] => 0 [catfeed] => none [taxonomy] => category [post_type] => post [postDateAppend] => after [postDateFormat] => m/d [showPostDate] => [useCookies] => 1 [postsBeforeCats] => [expandCatPost] => 1 [showEmptyCat] => [showTopLevel] => 1 [animate] => 1 [customExpand] => [customCollapse] => [catTag] => cat [addMisc] => [addMiscTitle] => [number] => 5 [includeCatArray] => Array ( ) [expandSym] => [+] [collapseSym] => [—] ) postsToExclude: Array ( ) CATEGORY QUERY: SELECT t.*, tt.* FROM wp_terms AS t INNER JOIN wp_term_taxonomy AS tt ON t.term_id = tt.term_id WHERE tt.taxonomy IN ('category') AND t.slug!='blogroll' ASC CATEGORY QUERY RESULTS Array ( [0] => stdClass Object ( [term_id] => 1036 [name] => Advertising & Marketing [slug] => advertising-marketing [term_group] => 0 [term_taxonomy_id] => 1037 [taxonomy] => category [description] => [parent] => 1 [count] => 3 ) [1] => stdClass Object ( [term_id] => 1042 [name] => Auto & Motor [slug] => auto-motor [term_group] => 0 [term_taxonomy_id] => 1043 [taxonomy] => category [description] => [parent] => 1 [count] => 2 ) [3] => stdClass Object ( [term_id] => 1099 [name] => Clothing & Fashion [slug] => clothing-fashion [term_group] => 0 [term_taxonomy_id] => 1100 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [5] => stdClass Object ( [term_id] => 1105 [name] => Foods & Culinary [slug] => foods-culinary [term_group] => 0 [term_taxonomy_id] => 1106 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [6] => stdClass Object ( [term_id] => 1000 [name] => Gambling [slug] => gambling [term_group] => 0 [term_taxonomy_id] => 1001 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [7] => stdClass Object ( [term_id] => 1017 [name] => Health & Fitness [slug] => health-fitness [term_group] => 0 [term_taxonomy_id] => 1018 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [8] => stdClass Object ( [term_id] => 1016 [name] => Health Care & Medical [slug] => health-care-medical [term_group] => 0 [term_taxonomy_id] => 1017 [taxonomy] => category [description] => [parent] => 1 [count] => 2 ) [9] => stdClass Object ( [term_id] => 1043 [name] => Home Products & Services [slug] => home-products-services [term_group] => 0 [term_taxonomy_id] => 1044 [taxonomy] => category [description] => [parent] => 1 [count] => 2 ) [10] => stdClass Object ( [term_id] => 997 [name] => Internet Services [slug] => internet-services [term_group] => 0 [term_taxonomy_id] => 998 [taxonomy] => category [description] => [parent] => 1 [count] => 6 ) [12] => stdClass Object ( [term_id] => 1007 [name] => Miscellaneous [slug] => miscellaneous [term_group] => 0 [term_taxonomy_id] => 1008 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [13] => stdClass Object ( [term_id] => 1103 [name] => Personal Product & Services [slug] => personal-product-services [term_group] => 0 [term_taxonomy_id] => 1104 [taxonomy] => category [description] => [parent] => 1 [count] => 2 ) [14] => stdClass Object ( [term_id] => 14 [name] => SEO оптимизация [slug] => seo-%d0%be%d0%bf%d1%82%d0%b8%d0%bc%d0%b8%d0%b7%d0%b0%d1%86%d0%b8%d1%8f [term_group] => 0 [term_taxonomy_id] => 14 [taxonomy] => category [description] => [parent] => 13 [count] => 7 ) [15] => stdClass Object ( [term_id] => 999 [name] => Technology [slug] => technology [term_group] => 0 [term_taxonomy_id] => 1000 [taxonomy] => category [description] => [parent] => 1 [count] => 2 ) [16] => stdClass Object ( [term_id] => 1066 [name] => Travel [slug] => travel [term_group] => 0 [term_taxonomy_id] => 1067 [taxonomy] => category [description] => [parent] => 1 [count] => 1 ) [17] => stdClass Object ( [term_id] => 998 [name] => Web Resources [slug] => web-resources [term_group] => 0 [term_taxonomy_id] => 999 [taxonomy] => category [description] => [parent] => 1 [count] => 11 ) [18] => stdClass Object ( [term_id] => 73 [name] => Автомобили [slug] => %d0%b0%d0%b2%d1%82%d0%be%d0%bc%d0%be%d0%b1%d0%b8%d0%bb%d0%b8-%d1%80%d0%b0%d0%b7%d0%b2%d0%bb%d0%b5%d1%87%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8-%d1%85%d0%be%d0%b1%d0%b8 [term_group] => 0 [term_taxonomy_id] => 73 [taxonomy] => category [description] => [parent] => 71 [count] => 5 ) [19] => stdClass Object ( [term_id] => 21 [name] => Анализи [slug] => %d0%b0%d0%bd%d0%b0%d0%bb%d0%b8%d0%b7%d0%b8 [term_group] => 0 [term_taxonomy_id] => 21 [taxonomy] => category [description] => [parent] => 20 [count] => 1 ) [20] => stdClass Object ( [term_id] => 95 [name] => Барове и Напитки [slug] => %d0%b1%d0%b0%d1%80%d0%be%d0%b2%d0%b5-%d0%b8-%d0%bd%d0%b0%d0%bf%d0%b8%d1%82%d0%ba%d0%b8 [term_group] => 0 [term_taxonomy_id] => 95 [taxonomy] => category [description] => [parent] => 71 [count] => 5 ) [22] => stdClass Object ( [term_id] => 20 [name] => Бизнес и Финанси [slug] => %d0%b1%d0%b8%d0%b7%d0%bd%d0%b5%d1%81-%d0%b8-%d1%84%d0%b8%d0%bd%d0%b0%d0%bd%d1%81%d0%b8 [term_group] => 0 [term_taxonomy_id] => 20 [taxonomy] => category [description] => [parent] => 0 [count] => 29 ) [23] => stdClass Object ( [term_id] => 56 [name] => Блогове [slug] => %d0%b1%d0%bb%d0%be%d0%b3%d0%be%d0%b2%d0%b5 [term_group] => 0 [term_taxonomy_id] => 56 [taxonomy] => category [description] => [parent] => 55 [count] => 1 ) [28] => stdClass Object ( [term_id] => 51 [name] => Градинарство [slug] => %d0%b3%d1%80%d0%b0%d0%b4%d0%b8%d0%bd%d0%b0%d1%80%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 51 [taxonomy] => category [description] => [parent] => 46 [count] => 2 ) [29] => stdClass Object ( [term_id] => 53 [name] => Деца и тийнейджъри [slug] => %d0%b4%d0%b5%d1%86%d0%b0-%d0%b8-%d1%82%d0%b8%d0%b9%d0%bd%d0%b5%d0%b9%d0%b4%d0%b6%d1%8a%d1%80%d0%b8 [term_group] => 0 [term_taxonomy_id] => 53 [taxonomy] => category [description] => [parent] => 46 [count] => 4 ) [30] => stdClass Object ( [term_id] => 46 [name] => Дом и семейство [slug] => %d0%b4%d0%be%d0%bc-%d0%b8-%d1%81%d0%b5%d0%bc%d0%b5%d0%b9%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 46 [taxonomy] => category [description] => [parent] => 0 [count] => 9 ) [32] => stdClass Object ( [term_id] => 1 [name] => Други [slug] => %d0%b4%d1%80%d1%83%d0%b3%d0%b8 [term_group] => 0 [term_taxonomy_id] => 1 [taxonomy] => category [description] => [parent] => 0 [count] => 6 ) [33] => stdClass Object ( [term_id] => 84 [name] => Екскурзии [slug] => %d0%b5%d0%ba%d1%81%d0%ba%d1%83%d1%80%d0%b7%d0%b8%d0%b8 [term_group] => 0 [term_taxonomy_id] => 84 [taxonomy] => category [description] => [parent] => 79 [count] => 4 ) [35] => stdClass Object ( [term_id] => 76 [name] => Заведения [slug] => %d0%b7%d0%b0%d0%b2%d0%b5%d0%b4%d0%b5%d0%bd%d0%b8%d1%8f [term_group] => 0 [term_taxonomy_id] => 76 [taxonomy] => category [description] => [parent] => 71 [count] => 2 ) [36] => stdClass Object ( [term_id] => 30 [name] => Застраховане [slug] => %d0%b7%d0%b0%d1%81%d1%82%d1%80%d0%b0%d1%85%d0%be%d0%b2%d0%b0%d0%bd%d0%b5 [term_group] => 0 [term_taxonomy_id] => 30 [taxonomy] => category [description] => [parent] => 20 [count] => 1 ) [37] => stdClass Object ( [term_id] => 66 [name] => Здраве [slug] => %d0%b7%d0%b4%d1%80%d0%b0%d0%b2%d0%b5 [term_group] => 0 [term_taxonomy_id] => 66 [taxonomy] => category [description] => [parent] => 59 [count] => 20 ) [38] => stdClass Object ( [term_id] => 4 [name] => Игри [slug] => %d0%b8%d0%b3%d1%80%d0%b8 [term_group] => 0 [term_taxonomy_id] => 4 [taxonomy] => category [description] => [parent] => 3 [count] => 1 ) [39] => stdClass Object ( [term_id] => 45 [name] => Изкуство [slug] => %d0%b8%d0%b7%d0%ba%d1%83%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 45 [taxonomy] => category [description] => [parent] => 36 [count] => 2 ) [40] => stdClass Object ( [term_id] => 31 [name] => Имоти и строителство [slug] => %d0%b8%d0%bc%d0%be%d1%82%d0%b8-%d0%b8-%d1%81%d1%82%d1%80%d0%be%d0%b8%d1%82%d0%b5%d0%bb%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 31 [taxonomy] => category [description] => [parent] => 20 [count] => 22 ) [41] => stdClass Object ( [term_id] => 19 [name] => Интернет маркетинг [slug] => %d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%bd%d0%b5%d1%82-%d0%bc%d0%b0%d1%80%d0%ba%d0%b5%d1%82%d0%b8%d0%bd%d0%b3 [term_group] => 0 [term_taxonomy_id] => 19 [taxonomy] => category [description] => [parent] => 13 [count] => 3 ) [42] => stdClass Object ( [term_id] => 44 [name] => Информация и медии [slug] => %d0%b8%d0%bd%d1%84%d0%be%d1%80%d0%bc%d0%b0%d1%86%d0%b8%d1%8f-%d0%b8-%d0%bc%d0%b5%d0%b4%d0%b8%d0%b8 [term_group] => 0 [term_taxonomy_id] => 44 [taxonomy] => category [description] => [parent] => 36 [count] => 1 ) [44] => stdClass Object ( [term_id] => 3 [name] => Компютри, Интернет и Техника [slug] => %d0%ba%d0%be%d0%bc%d0%bf%d1%8e%d1%82%d1%80%d0%b8-%d0%b8%d0%bd%d1%82%d0%b5%d1%80%d0%bd%d0%b5%d1%82-%d0%b8-%d1%82%d0%b5%d1%85%d0%bd%d0%b8%d0%ba%d0%b0 [term_group] => 0 [term_taxonomy_id] => 3 [taxonomy] => category [description] => [parent] => 0 [count] => 15 ) [45] => stdClass Object ( [term_id] => 74 [name] => Кулинарни [slug] => %d0%ba%d1%83%d0%bb%d0%b8%d0%bd%d0%b0%d1%80%d0%bd%d0%b8 [term_group] => 0 [term_taxonomy_id] => 74 [taxonomy] => category [description] => [parent] => 71 [count] => 1 ) [47] => stdClass Object ( [term_id] => 57 [name] => Лични сайтове [slug] => %d0%bb%d0%b8%d1%87%d0%bd%d0%b8-%d1%81%d0%b0%d0%b9%d1%82%d0%be%d0%b2%d0%b5 [term_group] => 0 [term_taxonomy_id] => 57 [taxonomy] => category [description] => [parent] => 55 [count] => 1 ) [48] => stdClass Object ( [term_id] => 55 [name] => Лични страници, блогове и форуми [slug] => %d0%bb%d0%b8%d1%87%d0%bd%d0%b8-%d1%81%d1%82%d1%80%d0%b0%d0%bd%d0%b8%d1%86%d0%b8-%d0%b1%d0%bb%d0%be%d0%b3%d0%be%d0%b2%d0%b5-%d0%b8-%d1%84%d0%be%d1%80%d1%83%d0%bc%d0%b8 [term_group] => 0 [term_taxonomy_id] => 55 [taxonomy] => category [description] => [parent] => 0 [count] => 0 ) [49] => stdClass Object ( [term_id] => 67 [name] => Лов и риболов [slug] => %d0%bb%d0%be%d0%b2-%d0%b8-%d1%80%d0%b8%d0%b1%d0%be%d0%bb%d0%be%d0%b2 [term_group] => 0 [term_taxonomy_id] => 67 [taxonomy] => category [description] => [parent] => 59 [count] => 1 ) [50] => stdClass Object ( [term_id] => 24 [name] => Магазини [slug] => %d0%bc%d0%b0%d0%b3%d0%b0%d0%b7%d0%b8%d0%bd%d0%b8 [term_group] => 0 [term_taxonomy_id] => 24 [taxonomy] => category [description] => [parent] => 20 [count] => 2 ) [51] => stdClass Object ( [term_id] => 25 [name] => Маркетинг [slug] => %d0%bc%d0%b0%d1%80%d0%ba%d0%b5%d1%82%d0%b8%d0%bd%d0%b3 [term_group] => 0 [term_taxonomy_id] => 25 [taxonomy] => category [description] => [parent] => 20 [count] => 6 ) [52] => stdClass Object ( [term_id] => 38 [name] => Мода [slug] => %d0%bc%d0%be%d0%b4%d0%b0 [term_group] => 0 [term_taxonomy_id] => 38 [taxonomy] => category [description] => [parent] => 36 [count] => 9 ) [53] => stdClass Object ( [term_id] => 81 [name] => Морски туризъм [slug] => %d0%bc%d0%be%d1%80%d1%81%d0%ba%d0%b8-%d1%82%d1%83%d1%80%d0%b8%d0%b7%d1%8a%d0%bc [term_group] => 0 [term_taxonomy_id] => 81 [taxonomy] => category [description] => [parent] => 79 [count] => 20 ) [55] => stdClass Object ( [term_id] => 75 [name] => Музика и филми [slug] => %d0%bc%d1%83%d0%b7%d0%b8%d0%ba%d0%b0-%d0%b8-%d1%84%d0%b8%d0%bb%d0%bc%d0%b8 [term_group] => 0 [term_taxonomy_id] => 75 [taxonomy] => category [description] => [parent] => 71 [count] => 9 ) [56] => stdClass Object ( [term_id] => 48 [name] => Обзавеждане [slug] => %d0%be%d0%b1%d0%b7%d0%b0%d0%b2%d0%b5%d0%b6%d0%b4%d0%b0%d0%bd%d0%b5 [term_group] => 0 [term_taxonomy_id] => 48 [taxonomy] => category [description] => [parent] => 46 [count] => 12 ) [57] => stdClass Object ( [term_id] => 39 [name] => Образование [slug] => %d0%be%d0%b1%d1%80%d0%b0%d0%b7%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d0%b5 [term_group] => 0 [term_taxonomy_id] => 39 [taxonomy] => category [description] => [parent] => 36 [count] => 2 ) [58] => stdClass Object ( [term_id] => 36 [name] => Общество и хора [slug] => %d0%be%d0%b1%d1%89%d0%b5%d1%81%d1%82%d0%b2%d0%be-%d0%b8-%d1%85%d0%be%d1%80%d0%b0 [term_group] => 0 [term_taxonomy_id] => 36 [taxonomy] => category [description] => [parent] => 0 [count] => 3 ) [59] => stdClass Object ( [term_id] => 13 [name] => Онлайн бизнес [slug] => %d0%be%d0%bd%d0%bb%d0%b0%d0%b9%d0%bd-%d0%b1%d0%b8%d0%b7%d0%bd%d0%b5%d1%81 [term_group] => 0 [term_taxonomy_id] => 13 [taxonomy] => category [description] => [parent] => 0 [count] => 2 ) [60] => stdClass Object ( [term_id] => 17 [name] => Онлайн магазини [slug] => %d0%be%d0%bd%d0%bb%d0%b0%d0%b9%d0%bd-%d0%bc%d0%b0%d0%b3%d0%b0%d0%b7%d0%b8%d0%bd%d0%b8 [term_group] => 0 [term_taxonomy_id] => 17 [taxonomy] => category [description] => [parent] => 13 [count] => 14 ) [61] => stdClass Object ( [term_id] => 18 [name] => Онлайн реклама [slug] => %d0%be%d0%bd%d0%bb%d0%b0%d0%b9%d0%bd-%d1%80%d0%b5%d0%ba%d0%bb%d0%b0%d0%bc%d0%b0 [term_group] => 0 [term_taxonomy_id] => 18 [taxonomy] => category [description] => [parent] => 13 [count] => 1 ) [64] => stdClass Object ( [term_id] => 83 [name] => Планински туризъм [slug] => %d0%bf%d0%bb%d0%b0%d0%bd%d0%b8%d0%bd%d1%81%d0%ba%d0%b8-%d1%82%d1%83%d1%80%d0%b8%d0%b7%d1%8a%d0%bc [term_group] => 0 [term_taxonomy_id] => 83 [taxonomy] => category [description] => [parent] => 79 [count] => 4 ) [65] => stdClass Object ( [term_id] => 41 [name] => Политика [slug] => %d0%bf%d0%be%d0%bb%d0%b8%d1%82%d0%b8%d0%ba%d0%b0 [term_group] => 0 [term_taxonomy_id] => 41 [taxonomy] => category [description] => [parent] => 36 [count] => 2 ) [67] => stdClass Object ( [term_id] => 50 [name] => Празници и подаръци [slug] => %d0%bf%d1%80%d0%b0%d0%b7%d0%bd%d0%b8%d1%86%d0%b8-%d0%b8-%d0%bf%d0%be%d0%b4%d0%b0%d1%80%d1%8a%d1%86%d0%b8 [term_group] => 0 [term_taxonomy_id] => 50 [taxonomy] => category [description] => [parent] => 46 [count] => 1 ) [68] => stdClass Object ( [term_id] => 49 [name] => Практически съвети [slug] => %d0%bf%d1%80%d0%b0%d0%ba%d1%82%d0%b8%d1%87%d0%b5%d1%81%d0%ba%d0%b8-%d1%81%d1%8a%d0%b2%d0%b5%d1%82%d0%b8 [term_group] => 0 [term_taxonomy_id] => 49 [taxonomy] => category [description] => [parent] => 46 [count] => 15 ) [69] => stdClass Object ( [term_id] => 29 [name] => Предприемачество [slug] => %d0%bf%d1%80%d0%b5%d0%b4%d0%bf%d1%80%d0%b8%d0%b5%d0%bc%d0%b0%d1%87%d0%b5%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 29 [taxonomy] => category [description] => [parent] => 20 [count] => 4 ) [70] => stdClass Object ( [term_id] => 28 [name] => Производство [slug] => %d0%bf%d1%80%d0%be%d0%b8%d0%b7%d0%b2%d0%be%d0%b4%d1%81%d1%82%d0%b2%d0%be [term_group] => 0 [term_taxonomy_id] => 28 [taxonomy] => category [description] => [parent] => 20 [count] => 2 ) [71] => stdClass Object ( [term_id] => 32 [name] => Работа и кариера [slug] => %d1%80%d0%b0%d0%b1%d0%be%d1%82%d0%b0-%d0%b8-%d0%ba%d0%b0%d1%80%d0%b8%d0%b5%d1%80%d0%b0 [term_group] => 0 [term_taxonomy_id] => 32 [taxonomy] => category [description] => [parent] => 20 [count] => 15 ) [72] => stdClass Object ( [term_id] => 71 [name] => Развлечения и хоби [slug] => %d1%80%d0%b0%d0%b7%d0%b2%d0%bb%d0%b5%d1%87%d0%b5%d0%bd%d0%b8%d1%8f-%d0%b8-%d1%85%d0%be%d0%b1%d0%b8 [term_group] => 0 [term_taxonomy_id] => 71 [taxonomy] => category [description] => [parent] => 0 [count] => 7 ) [73] => stdClass Object ( [term_id] => 88 [name] => Разни [slug] => %d1%80%d0%b0%d0%b7%d0%bd%d0%b8 [term_group] => 0 [term_taxonomy_id] => 88 [taxonomy] => category [description] => [parent] => 1 [count] => 11 ) [74] => stdClass Object ( [term_id] => 33 [name] => Реклама [slug] => %d1%80%d0%b5%d0%ba%d0%bb%d0%b0%d0%bc%d0%b0 [term_group] => 0 [term_taxonomy_id] => 33 [taxonomy] => category [description] => [parent] => 20 [count] => 4 ) [75] => stdClass Object ( [term_id] => 82 [name] => Селски туризъм [slug] => %d1%81%d0%b5%d0%bb%d1%81%d0%ba%d0%b8-%d1%82%d1%83%d1%80%d0%b8%d0%b7%d1%8a%d0%bc [term_group] => 0 [term_taxonomy_id] => 82 [taxonomy] => category [description] => [parent] => 79 [count] => 2 ) [77] => stdClass Object ( [term_id] => 10 [name] => Софтуер [slug] => %d1%81%d0%be%d1%84%d1%82%d1%83%d0%b5%d1%80 [term_group] => 0 [term_taxonomy_id] => 10 [taxonomy] => category [description] => [parent] => 3 [count] => 4 ) [78] => stdClass Object ( [term_id] => 59 [name] => Спорт и здраве [slug] => %d1%81%d0%bf%d0%be%d1%80%d1%82-%d0%b8-%d0%b7%d0%b4%d1%80%d0%b0%d0%b2%d0%b5 [term_group] => 0 [term_taxonomy_id] => 59 [taxonomy] => category [description] => [parent] => 0 [count] => 4 ) [79] => stdClass Object ( [term_id] => 35 [name] => Счетоводство [slug] => 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Inspiration, pure and applied mathematics, and aesthetics

Mathematics arises from many different kinds of problems. At first these were found in commerce, land measurement, architecture and later astronomy; nowadays, all sciences suggest problems studied by mathematicians, and many problems arise within mathematics itself. For example, the physicist Richard Feynman invented the path integral formulation of quantum mechanics using a combination of mathematical reasoning and physical insight, and today’s string theory, a still-developing scientific theory which attempts to unify the four fundamental forces of nature, continues to inspire new mathematics. Some mathematics is only relevant in the area that inspired it, and is applied to solve further problems in that area. But often mathematics inspired by one area proves useful in many areas, and joins the general stock of mathematical concepts. A distinction is often made between pure mathematics and applied mathematics. However pure mathematics topics often turn out to have applications, e.g. number theory in cryptography. This remarkable fact that even the „purest“ mathematics often turns out to have practical applications is what Eugene Wigner has called „the unreasonable effectiveness of mathematics“. As in most areas of study, the explosion of knowledge in the scientific age has led to specialization: there are now hundreds of specialized areas in mathematics and the latest Mathematics Subject Classification runs to 46 pages. Several areas of applied mathematics have merged with related traditions outside of mathematics and become disciplines in their own right, including statistics, operations research, and computer science.

For those who are mathematically inclined, there is often a definite aesthetic aspect to much of mathematics. Many mathematicians talk about the elegance of mathematics, its intrinsic aesthetics and inner beauty. Simplicity and generality are valued. There is beauty in a simple and elegant proof, such as Euclid’s proof that there are infinitely many prime numbers, and in an elegant numerical method that speeds calculation, such as the fast Fourier transform. G. H. Hardy in A Mathematician’s Apology expressed the belief that these aesthetic considerations are, in themselves, sufficient to justify the study of pure mathematics. He identified criteria such as significance, unexpectedness, inevitability, and economy as factors that contribute to a mathematical aesthetic. Mathematicians often strive to find proofs that are particularly elegant, proofs from „The Book“ of God according to Paul Erdős. The popularity of recreational mathematics is another sign of the pleasure many find in solving mathematical questions.

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