{"id":789,"date":"2012-11-27T07:25:15","date_gmt":"2012-11-27T07:25:15","guid":{"rendered":"https:\/\/sparktoro.com\/blog\/?p=789"},"modified":"2012-11-27T07:26:24","modified_gmt":"2012-11-27T07:26:24","slug":"mathematics-core-values","status":"publish","type":"post","link":"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/","title":{"rendered":"The Mathematics of Core Values"},"content":{"rendered":"<p>Over the holiday weekend, Geraldine took me to see Lincoln. I&#8217;d watched a clip aired during the Daily Show last week that had me excited to see the film, and <a href=\"http:\/\/www.avc.com\/a_vc\/2012\/11\/lincoln.html\">Fred Wilson&#8217;s post<\/a> sealed the deal.<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-790\" title=\"lincoln-euclid\" src=\"https:\/\/images.sparktoro.com\/blog\/wp-content\/uploads\/2017\/10\/lincoln-euclid.jpg\" alt=\"\" width=\"599\" height=\"263\" \/><\/p>\n<p>That clip contained the following quote:<\/p>\n<p style=\"padding-left: 30px;\"><em>Euclid&#8217;s first common notion is this:\u00a0 &#8216;Things which are equal to the same thing are equal to each other.&#8217;\u00a0\u00a0 That&#8217;s a rule of mathematical reasoning.\u00a0 It&#8217;s true because it works.\u00a0 Has done and always will do.\u00a0 In his book, Euclid says this is\u00a0self-evident.\u00a0 You see, there it is.\u00a0 Even in that 2,000 year old book of mechanical law,\u00a0it is a self-evident truth that things which are equal to the same thing are equal to each other.<!--more--><\/em><\/p>\n<p><em>Here&#8217;s a <a href=\"http:\/\/www.youtube.com\/watch?v=DLdzMEmc3CE\">short version<\/a> from YouTube:<\/em><\/p>\n<div align=\"center\"><iframe loading=\"lazy\" src=\"https:\/\/www.youtube.com\/embed\/DLdzMEmc3CE\" frameborder=\"0\" align=\"center\" width=\"560\" height=\"315\"><\/iframe><\/div>\n<p>Obviously, the quote is\u00a0fictitious\u00a0(though Lincoln&#8217;s assertion that equality is rooted in algebra has <a href=\"http:\/\/www.mathopenref.com\/euclid.html\">some historical basis<\/a>). But the idea behind it is one I found fascinating &#8211; that the principles of science, reason, and mathematics can inform our values and ethics. I don&#8217;t often see the connection drawn between mathematical proofs or the scientific process and the human ideals of virtue or vice, but I imagine that more of these connections exist.<\/p>\n<p>The scientific method, for example, relies on data recording, replication, and external review. I like that Moz&#8217;s core values of TAGFEE include transparency, as this parallels the requirements of sharing information and making it available for others to see and judge. Likewise, in economic science, <a href=\"http:\/\/bucks.blogs.nytimes.com\/2010\/07\/30\/outliers-matter-why-average-is-not-normal\/\">outliers are often responsible<\/a> for much of the positive progress (and negative events, too) in a macroeconomic system. Perhaps this ties into the value of exceptionalism &#8211; being a unique outlier that does not follow the norm, but seeks to break a new path gives greater opportunity to overperform (or fail miserably).<\/p>\n<p>I need to spend more time studying the proofs that underly physics and mathematics, but I find a strange satisfaction in the idea that ethics and science could flow from the same logical underpinnings.<\/p>\n<p>p.s. The film is tremendous &#8211; not only poignant, but thoroughly enjoyable as well. I highly recommend going to see it.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Over the holiday weekend, Geraldine took me to see Lincoln. I&#8217;d watched a clip aired during the Daily Show last week that had me excited to see the film, and Fred Wilson&#8217;s post sealed the deal. That clip contained the following quote: Euclid&#8217;s first common notion is this:\u00a0 &#8216;Things which are equal to the same<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7,10],"tags":[],"class_list":["post-789","post","type-post","status-publish","format-standard","hentry","category-personal","category-psychology"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>The Mathematics of Core Values - SparkToro<\/title>\n<meta name=\"description\" content=\"Over the holiday weekend, Geraldine took me to see Lincoln. I&#039;d watched a clip aired during the Daily Show last week that had me excited to see the film,\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Mathematics of Core Values - SparkToro\" \/>\n<meta property=\"og:description\" content=\"Over the holiday weekend, Geraldine took me to see Lincoln. I&#039;d watched a clip aired during the Daily Show last week that had me excited to see the film,\" \/>\n<meta property=\"og:url\" content=\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\" \/>\n<meta property=\"og:site_name\" content=\"SparkToro\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/facebook.com\/sparktoro\" \/>\n<meta property=\"article:published_time\" content=\"2012-11-27T07:25:15+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2012-11-27T07:26:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/images.sparktoro.com\/blog\/wp-content\/uploads\/2017\/10\/lincoln-euclid.jpg\" \/>\n<meta name=\"author\" content=\"Rand Fishkin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@sparktoro\" \/>\n<meta name=\"twitter:site\" content=\"@sparktoro\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Rand Fishkin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\"},\"author\":{\"name\":\"Rand Fishkin\",\"@id\":\"https:\/\/sparktoro.com\/blog\/#\/schema\/person\/2acd0781db4d1905cecfec9bea406570\"},\"headline\":\"The Mathematics of Core Values\",\"datePublished\":\"2012-11-27T07:25:15+00:00\",\"dateModified\":\"2012-11-27T07:26:24+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\"},\"wordCount\":366,\"commentCount\":21,\"image\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/images.sparktoro.com\/blog\/wp-content\/uploads\/2017\/10\/lincoln-euclid.jpg\",\"articleSection\":[\"Personal\",\"Psychology\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\",\"url\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/\",\"name\":\"The Mathematics of Core Values - SparkToro\",\"isPartOf\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/mathematics-core-values\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/images.sparktoro.com\/blog\/wp-content\/uploads\/2017\/10\/lincoln-euclid.jpg\",\"datePublished\":\"2012-11-27T07:25:15+00:00\",\"dateModified\":\"2012-11-27T07:26:24+00:00\",\"author\":{\"@id\":\"https:\/\/sparktoro.com\/blog\/#\/schema\/person\/2acd0781db4d1905cecfec9bea406570\"},\"description\":\"Over the holiday weekend, Geraldine took me to see Lincoln. 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