{"id":266082,"date":"2024-12-06T15:50:26","date_gmt":"2024-12-06T15:50:26","guid":{"rendered":"https:\/\/michigandigitalnews.com\/index.php\/2024\/12\/06\/mathematicians-have-discovered-a-mind-blowing-new-kind-of-infinity\/"},"modified":"2025-06-25T17:10:13","modified_gmt":"2025-06-25T17:10:13","slug":"mathematicians-have-discovered-a-mind-blowing-new-kind-of-infinity","status":"publish","type":"post","link":"https:\/\/michigandigitalnews.com\/index.php\/2024\/12\/06\/mathematicians-have-discovered-a-mind-blowing-new-kind-of-infinity\/","title":{"rendered":"Mathematicians have discovered a mind-blowing new kind of infinity"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"\">\n<figure class=\"ArticleImage\">\n<div class=\"Image__Wrapper\"><img fetchpriority=\"high\" decoding=\"async\" class=\"Image\" width=\"1350\" height=\"900\" alt=\"\" src=\"https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg\" sizes=\"(min-width: 1288px) 837px, (min-width: 1024px) calc(57.5vw + 55px), (min-width: 415px) calc(100vw - 40px), calc(70vw + 74px)\" srcset=\"https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=300 300w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=400 400w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=500 500w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=600 600w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=700 700w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=800 800w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=837 837w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=900 900w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1003 1003w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1100 1100w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1200 1200w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1300 1300w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1400 1400w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1500 1500w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1600 1600w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1674 1674w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1700 1700w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1800 1800w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=1900 1900w, https:\/\/images.newscientist.com\/wp-content\/uploads\/2024\/12\/06105425\/SEI_232072501.jpg?width=2006 2006w\" loading=\"eager\" fetchpriority=\"high\" data-image-context=\"Article\" data-image-id=\"2459165\" data-caption=\"Infinity is more complex than you might think\" data-credit=\"Andriy Onufriyenko\/Getty Images\"\/><\/div><figcaption class=\"ArticleImageCaption\">\n<div class=\"ArticleImageCaption__Icon\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"15\" height=\"15\" viewbox=\"0 0 15 15\" fill=\"none\"><circle cx=\"7.5\" cy=\"7.333\" r=\"7\" fill=\"#FBCB05\"\/><path d=\"m7.5 2.708 4.33 7.5H3.17l4.33-7.5Z\" fill=\"#000\"\/><\/svg><\/div>\n<div class=\"ArticleImageCaption__CaptionWrapper\">\n<p class=\"ArticleImageCaption__Title\">Infinity is more complex than you might think<\/p>\n<p class=\"ArticleImageCaption__Credit\">Andriy Onufriyenko\/Getty Images<\/p>\n<\/div>\n<\/figcaption><\/figure>\n<\/p>\n<p>A new kind of infinity appears to break the rules of how extremely large numbers behave, and could redraw the way the mathematical universe is ordered.<\/p>\n<p>It may come as a surprise, but <a href=\"https:\/\/www.newscientist.com\/article\/mg25433822-900-infinity-has-long-baffled-mathematicians-have-we-now-figured-it-out\/\">mathematicians have long known that there is more than one kind of infinity<\/a>. In 1878, Gregor Cantor first showed that the infinite set of real numbers, which includes negatives and decimals, is actually larger than the infinite set of natural, or whole, numbers. <a href=\"https:\/\/www.newscientist.com\/article\/mg23531402-500-authority-figures-the-numbers-that-rule-them-all\/\">Proving this involves a careful comparison between the two sets<\/a>, rather\u2026<\/p>\n<\/p><\/div>\n<p>[ad_2]<br \/>\n<br \/><a href=\"https:\/\/www.newscientist.com\/article\/2459158-mathematicians-have-discovered-a-mind-blowing-new-kind-of-infinity\/?utm_campaign=RSS%7CNSNS&#038;utm_source=NSNS&#038;utm_medium=RSS&#038;utm_content=home\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] Infinity is more complex than you might think Andriy Onufriyenko\/Getty Images A new kind of infinity appears to break the rules of how extremely<\/p>\n","protected":false},"author":1,"featured_media":266083,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[177],"tags":[],"_links":{"self":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/266082"}],"collection":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/comments?post=266082"}],"version-history":[{"count":0,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/posts\/266082\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/media\/266083"}],"wp:attachment":[{"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/media?parent=266082"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/categories?post=266082"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/michigandigitalnews.com\/index.php\/wp-json\/wp\/v2\/tags?post=266082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}