{"id":71646,"date":"2022-07-01T13:30:00","date_gmt":"2022-07-01T17:30:00","guid":{"rendered":"https:\/\/www.shortform.com\/blog\/?p=71646"},"modified":"2022-07-15T10:41:06","modified_gmt":"2022-07-15T14:41:06","slug":"concept-of-infinity","status":"publish","type":"post","link":"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/","title":{"rendered":"The Concept of Infinity: What Does It Really Mean?"},"content":{"rendered":"\n<p>What is infinity? How can we easily understand the concept of infinity?<\/p>\n\n\n\n<p>Infinity is a hard concept to grasp logically. <em>The Beginning of Infinity<\/em>&#8216;s author David Deutsch believes that the human mind has a natural aversion to it. That&#8217;s why he found a way of explaining it that anybody can understand.<\/p>\n\n\n\n<p>Read more to have a better understanding of infinity as a concept.<\/p>\n\n\n\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\"><strong>What Is Infinity?<\/strong><\/h2>\n\n\n\n<p>Many people find it easier to think of infinity as some arbitrarily large number, but that\u2019s a poor approximation. Instead, we can illustrate the concept of infinity with a simple <a href=\"https:\/\/www.shortform.com\/blog\/philosophical-thought-experiments\/\">thought experiment<\/a>:<\/p>\n\n\n\n<p>Imagine a person standing in an endless hallway. He walks an endless distance down that hallway. Once he\u2019s done so, there\u2019s still an endless distance ahead of him. He repeats this process countless times, but there is still an immeasurable distance between him and the end of the hallway. This is why Deutsch says, no matter how much knowledge we create, we\u2019ll never know everything\u2014in other words, no matter how far we travel, we\u2019ll never reach the end of the hallway.<\/p>\n\n\n\n<p>It\u2019s also why imagining infinity as a really big number doesn\u2019t work:<strong> Infinity doesn\u2019t obey the same rules as finite numbers do.<\/strong> Instead, it may help to picture infinity as an unreachable destination; no matter how long we travel, we never get closer to it.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-all-infinities-aren-t-the-same\"><strong>All Infinities Aren\u2019t the Same<\/strong><\/h3>\n\n\n\n<p>It will be easier to understand the endless hallway thought experiment if you recognize that there are <a href=\"https:\/\/www.businessinsider.com\/the-different-sizes-of-infinity-2013-11\">many different sizes of infinity<\/a>. That\u2019s counterintuitive\u2014surely infinity should equal infinity\u2014but we can prove it with an easy example:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Consider the set of all positive integers (0, 1, 2, 3\u2026\u221e). That\u2019s an infinite string of numbers.&nbsp;<\/li><li>Now consider the set of all integers greater than or equal to -1 (-1, 0, 1, 2\u2026\u221e). This is also an infinite string of numbers, but there\u2019s one more number than in the previous set.<\/li><\/ul>\n\n\n\n<p>As you can see, infinity isn\u2019t a fixed value. That\u2019s why traveling an infinite distance down an infinitely long hall won\u2019t get you to the end of that hall.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-an-infinity-of-infinities\"><strong>An Infinity of Infinities<\/strong><\/h3>\n\n\n\n<p>Another way Deutsch explains how we could possibly have \u201cmore\u201d than infinite knowledge is that <strong>we live in a <\/strong><strong><em>multiverse<\/em><\/strong><strong>: A web of interconnected universes that each stretch infinitely <\/strong>(like our hallway)<strong>.<\/strong> Every one of those infinite universes is unique; any given universe could be almost identical to our own, or completely different from anything we\u2019ve seen.&nbsp;<\/p>\n\n\n\n<p>This suggests one way in which infinite knowledge creation wouldn\u2019t lead to the endpoint of knowledge\u2014even if we create all possible knowledge in our own universe, there would still be an infinite number of other universes to learn about.<\/p>\n\n\n\n<p>(Shortform note: Various theories over the last 70 years or so have predicted different numbers of universes in the multiverse. The <a href=\"https:\/\/thereader.mitpress.mit.edu\/the-many-worlds-theory\/\">Many-Worlds Theory<\/a> of the 1950s proposed an infinite multiverse like Deutsch describes here. More recently, <a href=\"https:\/\/www.newscientist.com\/definition\/string-theory\/\">String Theory<\/a> predicted 10<sup>500<\/sup> different universes (that\u2019s a one followed by 500 zeroes)\u2014which is an enormous number, but not infinite. Stephen Hawking\u2019s final paper before his death <a href=\"https:\/\/scitechdaily.com\/constraining-the-multiverse-stephen-hawkings-final-theory-about-the-big-bang\/\">also predicted a finite number of universes<\/a>, though he did not say exactly how many.)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is infinity? How can we easily understand the concept of infinity? Infinity is a hard concept to grasp logically. The Beginning of Infinity&#8216;s author David Deutsch believes that the human mind has a natural aversion to it. That&#8217;s why he found a way of explaining it that anybody can understand. Read more to have a better understanding of infinity as a concept.<\/p>\n","protected":false},"author":14,"featured_media":39095,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[21,160],"tags":[677],"class_list":["post-71646","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-philosophy","category-science","tag-the-beginning-of-infinity","","tg-column-two"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.3 (Yoast SEO v24.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Concept of Infinity: What Does It Really Mean? - Shortform Books<\/title>\n<meta name=\"description\" content=\"The concept of infinity can be difficult to grasp. 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Check out how The Beginning of Infinity author David Deutsch explains infinity perfectly.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/\" \/>\n<meta property=\"og:site_name\" content=\"Shortform Books\" \/>\n<meta property=\"article:published_time\" content=\"2022-07-01T17:30:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-07-15T14:41:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/s3.amazonaws.com\/wordpress.shortform.com\/blog\/wp-content\/uploads\/2021\/06\/infinity-infinite-endless.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1080\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Katie Doll\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Katie Doll\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/\"},\"author\":{\"name\":\"Katie Doll\",\"@id\":\"https:\/\/www.shortform.com\/blog\/#\/schema\/person\/c3e1b539e89423b544ede91ab2bff937\"},\"headline\":\"The Concept of Infinity: What Does It Really Mean?\",\"datePublished\":\"2022-07-01T17:30:00+00:00\",\"dateModified\":\"2022-07-15T14:41:06+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/\"},\"wordCount\":552,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shortform.com\/blog\/wp-content\/uploads\/2021\/06\/infinity-infinite-endless.jpg\",\"keywords\":[\"The Beginning of Infinity\"],\"articleSection\":[\"Philosophy\",\"Science\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/\",\"url\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/\",\"name\":\"The Concept of Infinity: What Does It Really Mean? - Shortform Books\",\"isPartOf\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.shortform.com\/blog\/concept-of-infinity\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.shortform.com\/blog\/wp-content\/uploads\/2021\/06\/infinity-infinite-endless.jpg\",\"datePublished\":\"2022-07-01T17:30:00+00:00\",\"dateModified\":\"2022-07-15T14:41:06+00:00\",\"description\":\"The concept of infinity can be difficult to grasp. 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