{"id":408125,"date":"2017-11-27T06:44:42","date_gmt":"2017-11-27T10:44:42","guid":{"rendered":"http:\/\/spaceweekly.com\/?guid=f475d5c2fb5bb598f67f98b250c1b430"},"modified":"2017-11-27T06:44:42","modified_gmt":"2017-11-27T10:44:42","slug":"new-computational-methodology-gives-unexpected-answers-to-two-hilbert-problems","status":"publish","type":"post","link":"https:\/\/spaceweekly.com\/?p=408125","title":{"rendered":"New computational methodology gives unexpected answers to two Hilbert problems"},"content":{"rendered":"<p>A paper titled &#8220;Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems,&#8221; published in EMS Surveys in Mathematical Sciences describes a recent computational methodology related to the separation of mathematical objects from numeral systems involved in their representation. It allows mathematicians to work with infinities and infinitesimals numerically in a unique computational framework in all situations requiring these notions. The methodology does not contradict Cantor&#8217;s, and is based on Euclid&#8217;s Common Notion no. 5, &#8220;The whole is greater than the part,&#8221; applied to all quantities (finite, infinite, and infinitesimal) and to all sets and processes (finite and infinite). The non-contradictory of the approach has been proven by Italian logician Prof. Gabriele Lolli.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A paper titled &#8220;Numerical infinities and infinitesimals: Methodology, applications, and repercussions on two Hilbert problems,&#8221; published in EMS Surveys in Mathematical Sciences describes a recent computational methodology related to the separation of &#8230;<\/p>\n","protected":false},"author":0,"featured_media":615444,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-408125","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/408125","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=408125"}],"version-history":[{"count":1,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/408125\/revisions"}],"predecessor-version":[{"id":408126,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/posts\/408125\/revisions\/408126"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=\/wp\/v2\/media\/615444"}],"wp:attachment":[{"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=408125"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=408125"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/spaceweekly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=408125"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}