{"id":5308,"date":"2024-04-28T19:35:08","date_gmt":"2024-04-28T17:35:08","guid":{"rendered":"https:\/\/mijnniemandsland.blog\/?p=5308"},"modified":"2024-04-28T19:35:11","modified_gmt":"2024-04-28T17:35:11","slug":"oneven","status":"publish","type":"post","link":"https:\/\/mijnniemandsland.blog\/en\/2024\/04\/28\/oneven\/","title":{"rendered":"Odd."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">In de wereld van de wiskunde is het idee van oneindigheid zowel fascinerend als complex. De mogelijkheid om het oneindige te tellen is een onderwerp dat veel interesse en discussie opwekt. Laten we dit idee verkennen door te beginnen bij een basisgetal, zoals 1, en vervolgens enkel de oneven getallen te tellen. Daarna verdubbelen we elk getal om een interessant fenomeen te observeren: we kunnen in theorie de &#8217;tijd&#8217; die nodig is om tot oneindigheid te tellen, halveren.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Stel je voor dat je begint met het tellen bij 1. Vervolgens ga je door naar 3, 5, 7, en zo verder. Dit zijn alle oneven getallen. Het tellen van enkel oneven getallen is gelijk aan het selecteren van de helft van alle positieve gehele getallen. Als je elk van deze getallen verdubbelt\u2014dus 1 wordt 2, 3 wordt 6, 5 wordt 10, enzovoort\u2014ben je effectief elk tweede geheel getal aan het tellen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Door alleen de oneven getallen te tellen en deze vervolgens te verdubbelen, sla je een stap over (de even getallen die je niet individueel telt maar genereert door verdubbeling). Dit lijkt op het eerste gezicht een effici\u00ebntere manier om &#8216;sneller&#8217; door de getallen te gaan, vooral als je oneindigheid als doel hebt. Echter, in de wiskundige zin van oneindigheid maakt deze methode geen werkelijke tijdswinst. Oneindigheid blijft een niet te bereiken limiet, ongeacht de methode van tellen.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">De paradox van deze benadering ligt in het concept van oneindige sets. Wiskundigen zoals Georg Cantor hebben aangetoond dat er verschillende &#8216;groottes&#8217; of kardinaliteiten van oneindigheid zijn. Bijvoorbeeld, de set van alle gehele getallen en de set van alle oneven getallen zijn beide oneindig, maar interessant genoeg, zijn ze in bijectieve correspondentie met elkaar\u2014elk oneven getal kan gekoppeld worden aan een geheel getal. Dit betekent dat hoewel we een methode hebben om de &#8217;tijd&#8217; te halveren, beide sets even groot zijn in termen van oneindigheid.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Het idee van sneller oneindigheid &#8216;bereiken&#8217; door elke tweede stap te nemen, is meer een denkoefening dan een praktische toepassing. Het onderstreept de complexiteit en de intrigerende aard van oneindigheid in de wiskunde. Het laat ons zien dat zelfs met slimme trucs, sommige concepten, zoals oneindigheid, fundamenteel ongrijpbaar blijven.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" width=\"736\" height=\"736\" data-attachment-id=\"5309\" data-permalink=\"https:\/\/mijnniemandsland.blog\/en\/2024\/04\/28\/oneven\/oneven2\/\" data-orig-file=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?fit=1024%2C1024&amp;ssl=1\" data-orig-size=\"1024,1024\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"oneven2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?fit=736%2C736&amp;ssl=1\" src=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=736%2C736&#038;ssl=1\" alt=\"\" class=\"wp-image-5309\" style=\"width:512px\" srcset=\"https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?w=1024&amp;ssl=1 1024w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=300%2C300&amp;ssl=1 300w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=150%2C150&amp;ssl=1 150w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=768%2C768&amp;ssl=1 768w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=12%2C12&amp;ssl=1 12w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=800%2C800&amp;ssl=1 800w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=600%2C600&amp;ssl=1 600w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=400%2C400&amp;ssl=1 400w, https:\/\/i0.wp.com\/mijnniemandsland.blog\/wp-content\/uploads\/2024\/04\/oneven2.jpeg?resize=200%2C200&amp;ssl=1 200w\" sizes=\"auto, (max-width: 736px) 100vw, 736px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div id=\"accordions-901\" class=\"accordions-901 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;901&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-901\" class=\"accordions-lazy\" accordionsId=\"901\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"901\" itemcount=\"0\"  header_id=\"header-16746952630\" id=\"header-16746952630\" style=\"\" class=\"accordions-head head16746952630 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-16746952630\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-16746952630\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content16746952630 border-2px\">\r\n                <p>Alleen te zien als je bent ingelogd.<\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n<div id=\"accordions-5306\" class=\"accordions-5306 accordions\" data-accordions={&quot;lazyLoad&quot;:true,&quot;id&quot;:&quot;5306&quot;,&quot;event&quot;:&quot;click&quot;,&quot;collapsible&quot;:&quot;true&quot;,&quot;heightStyle&quot;:&quot;content&quot;,&quot;animateStyle&quot;:&quot;swing&quot;,&quot;animateDelay&quot;:1000,&quot;navigation&quot;:true,&quot;active&quot;:999,&quot;expandedOther&quot;:&quot;no&quot;}>\r\n                <div id=\"accordions-lazy-5306\" class=\"accordions-lazy\" accordionsId=\"5306\">\r\n                    <\/div>\r\n\r\n    <div class=\"items\"  style=\"display:none\" >\r\n    \r\n            <div post_id=\"5306\" itemcount=\"0\"  header_id=\"header-17143993030\" id=\"header-17143993030\" style=\"\" class=\"accordions-head head17143993030 border-1px\" toggle-text=\"\" main-text=\"klik om de ChatGPT prompt te zien \">\r\n                                    <span id=\"accordion-icons-17143993030\" class=\"accordion-icons\">\r\n                        <span class=\"accordion-icon-active accordion-plus\"><i class=\"fas fa-chevron-up\"><\/i><\/span>\r\n                        <span class=\"accordion-icon-inactive accordion-minus\"><i class=\"fas fa-chevron-right\"><\/i><\/span>\r\n                    <\/span>\r\n                    <span id=\"header-text-17143993030\" class=\"accordions-head-title\">klik om de ChatGPT prompt te zien <\/span>\r\n                            <\/div>\r\n            <div class=\"accordion-content content17143993030 border-2px\">\r\n                <p>schrijf een artikel over het tellen van de oneindigheid . Dit duurt over het algemeen best lang . Geef aan dat als je begint bij 1 en dan alleen alle oneven getallen telt . Vervolgens vermenigvuldig je het met twee . Zo ben je de helft van de tijd eerder klaar !<span class=\"Apple-converted-space\">\u00a0<\/span><\/p>\n            <\/div>\r\n    <\/div>\r\n\r\n\r\n\r\n            <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<div class=\"crowdsignal-applause-wrapper\" data-crowdsignal-applause=\"{&quot;pollId&quot;:&quot;168c92e5-4803-44b0-b167-ac99526ea7ca&quot;,&quot;title&quot;:&quot;oneven&quot;,&quot;answerId&quot;:&quot;5ca15ff4-6eac-497c-8b37-c91ef2f5557b&quot;,&quot;hideBranding&quot;:false,&quot;size&quot;:&quot;medium&quot;,&quot;pollStatus&quot;:&quot;open&quot;,&quot;contentVisibilityRules&quot;:{&quot;contentVisibilityRulesEnabled&quot;:false,&quot;userAuthenticated&quot;:&quot;&quot;},&quot;TrpContentRestriction&quot;:{&quot;restriction_type&quot;:&quot;exclude&quot;,&quot;selected_languages&quot;:[],&quot;panel_open&quot;:true},&quot;apiPollData&quot;:{&quot;id&quot;:13691362,&quot;question&quot;:&quot;&quot;,&quot;note&quot;:&quot;&quot;,&quot;settings&quot;:{&quot;title&quot;:&quot;oneven&quot;,&quot;after_vote&quot;:&quot;results&quot;,&quot;after_message&quot;:&quot;&quot;,&quot;randomize_answers&quot;:false,&quot;restrict_vote_repeat&quot;:false,&quot;captcha&quot;:false,&quot;multiple_choice&quot;:false,&quot;redirect_url&quot;:&quot;&quot;,&quot;close_status&quot;:&quot;open&quot;,&quot;close_after&quot;:false},&quot;answers&quot;:[{&quot;answer_text&quot;:&quot;clap&quot;,&quot;id&quot;:61132375,&quot;client_id&quot;:&quot;5ca15ff4-6eac-497c-8b37-c91ef2f5557b&quot;}],&quot;source_link&quot;:&quot;https:\\\/\\\/mijnniemandsland.blog&quot;,&quot;client_id&quot;:&quot;168c92e5-4803-44b0-b167-ac99526ea7ca&quot;}}\"><\/div>","protected":false},"excerpt":{"rendered":"<p>In the world of mathematics, the idea of infinity is both fascinating and complex. The ability to count infinity is a topic that generates much interest and discussion. Let&#039;s explore this idea by starting with a base number, such as 1, and then counting only the odd numbers. Then we double each number to observe an interesting phenomenon: we can theoretically halve the &#039;time&#039; it takes to count to infinity.<\/p>\n<p>Imagine you start counting at 1. Then you move on to 3, 5, 7, and so on. These are all odd numbers. Counting only odd numbers is equivalent to selecting half of all positive integers. If you double each of these numbers\u2014so 1 becomes 2, 3 becomes 6, 5 becomes 10, and so on\u2014you are effectively counting every second integer.<\/p>","protected":false},"author":11865667,"featured_media":5311,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_crdt_document":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"pgc_sgb_lightbox_settings":"","_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":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[758695999],"tags":[758697042,14410,758697043,758697041],"class_list":{"0":"post-5308","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","6":"hentry","7":"category-artikel","8":"tag-758697042","9":"tag-14410","10":"tag-758697043","11":"tag-tellen","12":"clear","14":"fallback-thumbnail"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Oneven. - Mijn NiemandsLand<\/title>\n<meta name=\"description\" content=\"A daily chatgpt content only blog about my slightly surreal worldview . 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