{"id":3225,"date":"2023-07-01T16:39:08","date_gmt":"2023-07-01T20:39:08","guid":{"rendered":"https:\/\/josmfs.net\/?p=3225"},"modified":"2024-04-05T15:57:54","modified_gmt":"2024-04-05T19:57:54","slug":"al-the-chemist-i","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2023\/07\/01\/al-the-chemist-i\/","title":{"rendered":"Al the Chemist I"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-3223\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/07\/Al-the-Chemist-I-Fig2.jpg\" alt=\"\" width=\"167\" height=\"238\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/07\/Al-the-Chemist-I-Fig2.jpg 398w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/07\/Al-the-Chemist-I-Fig2-211x300.jpg 211w\" sizes=\"auto, (max-width: 167px) 100vw, 167px\" \/>This is a relatively simple problem from the inventive Raymond Smullyan in the \u201cBrain Bogglers\u201d section of the 1996 <em>Discover<\/em> magazine.<\/p>\n<p>&#8220;AL THE CHEMIST\u2014not an alchemist, though his name might suggest it\u00ad\u2014one day partially filled a container with some concoction or other. He knew the volume of fluid in the container, as well as the volume of empty space, and real\u00adized that two-thirds of the former was equal to four-fifths of the latter. Was the container then less than half full, more than half full, or exactly half full?&#8221;<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Al-the-Chemist-I-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2023\/07\/Al-the-Chemist-I-230629.pdf\">Al the Chemist I<\/a> for solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a relatively simple problem from the inventive Raymond Smullyan in the \u201cBrain Bogglers\u201d section of the 1996 Discover magazine. &#8220;AL THE CHEMIST\u2014not an alchemist, though his name might suggest it\u00ad\u2014one day partially filled a container with some concoction or other. He knew the volume of fluid in the container, as well as the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,163,206],"class_list":["post-3225","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-brain-bogglers","tag-raymond-smullyan"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3225","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=3225"}],"version-history":[{"count":5,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3225\/revisions"}],"predecessor-version":[{"id":3535,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/3225\/revisions\/3535"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=3225"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=3225"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=3225"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}