{"id":379,"date":"2008-03-30T11:17:55","date_gmt":"2008-03-30T16:17:55","guid":{"rendered":"http:\/\/www.mccambridge.org\/blog\/2008\/03\/unstated-assumptions\/"},"modified":"2022-09-11T00:40:39","modified_gmt":"2022-09-11T00:40:39","slug":"unstated-assumptions","status":"publish","type":"post","link":"http:\/\/www.mccambridge.org\/blog\/2008\/03\/unstated-assumptions\/","title":{"rendered":"Unstated Assumptions"},"content":{"rendered":"

I typed “#define PI<\/code>” into the search box today to grab a nice long definition of PI for my graphics code, and found something entirely unexpected. Something, in fact, that I guarantee I have never thought before in my life. A proof that Pi (the number) exists<\/a>. I think perhaps only Jason can truly appreciate the need for such a proof, but I found it quite interesting, nonetheless.<\/p>\n

Have you ever actually proved<\/em> that Pi exists, that it is<\/em> a unique real number between 3 and 4 that represents the ratio of a circle’s circumference to its diameter, for all<\/em> circles? Or did you just accept your teachers’ word?<\/p>\n

Very interesting \ud83d\ude42<\/p>\n","protected":false},"excerpt":{"rendered":"

I typed “#define PI” into the search box today to grab a nice long definition of PI for my graphics code, and found something entirely unexpected. Something, in fact, that I guarantee I have never thought before in my life. A proof that Pi (the number) exists. I think perhaps only Jason can truly appreciate […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[13],"tags":[],"_links":{"self":[{"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/posts\/379"}],"collection":[{"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/comments?post=379"}],"version-history":[{"count":1,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/posts\/379\/revisions"}],"predecessor-version":[{"id":1590,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/posts\/379\/revisions\/1590"}],"wp:attachment":[{"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/media?parent=379"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/categories?post=379"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.mccambridge.org\/blog\/wp-json\/wp\/v2\/tags?post=379"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}