[{"id":309093,"date":"2026-08-07T14:45:10","date_gmt":"2026-08-07T18:45:10","guid":{"rendered":"https:\/\/3quarksdaily.com\/?p=309093"},"modified":"2026-08-07T07:53:22","modified_gmt":"2026-08-07T11:53:22","slug":"large-tarnished-metal-rings-depended-from-her-earlobes","status":"publish","type":"post","link":"https:\/\/3quarksdaily.com\/3quarksdaily\/2026\/08\/large-tarnished-metal-rings-depended-from-her-earlobes.html","title":{"rendered":"Large tarnished metal rings depended from her earlobes"},"content":{"rendered":"

Stan Carey at Sentence first<\/em>:<\/p>\n

\"\"1. A thought raced through my mind like a nasty little rodent. I wondered what she would look like with a beard. (\u2018The Bearded Lady\u2019)<\/p>\n

2. I sauntered down the concrete walk to the Ralston bungalow. With all the Venetian blinds down it looked impassive yet vulnerable, like a face with closed eyes. (\u2018Death by Water\u2019)<\/p>\n

3. Sunk in the terraced lawn behind the house was an oval pool like a wide green eye staring at the sky. (\u2018The Bearded Lady\u2019)<\/p>\n

4. There was another man floating in the water, the blotched brown swell of his stomach breaking the surface like the shell-back of a Galapagos tortoise. (\u2018The Bearded Lady\u2019)<\/p>\n

5. \u201cCome on now, bud. You heard what Mr. Hendryx said.\u201d
\n\u201cI don\u2019t take orders from him.\u201d
\n\u201cI do,\u201d he said with a lopsided grin like a heat-split in a melon. (\u2018The Bearded Lady\u2019)<\/p>\n

More here<\/a>.<\/p>\n

Enjoying the content on 3QD? Help keep us going by donating now<\/a>.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Stan Carey at Sentence first: 1. A thought raced through my mind like a nasty little rodent. I wondered what she would look like with a beard. (\u2018The Bearded Lady\u2019) 2. I sauntered down the concrete walk to the Ralston bungalow. With all the Venetian blinds down it looked impassive yet vulnerable, like a face…<\/p>\n","protected":false},"author":34,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"pmpro_default_level":"","footnotes":""},"categories":[5918],"tags":[],"class_list":["post-309093","post","type-post","status-publish","format-standard","hentry","category-recommended-reading","pmpro-has-access"],"_links":{"self":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309093","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/comments?post=309093"}],"version-history":[{"count":1,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309093\/revisions"}],"predecessor-version":[{"id":309095,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309093\/revisions\/309095"}],"wp:attachment":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/media?parent=309093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/categories?post=309093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/tags?post=309093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}},{"id":309089,"date":"2026-08-07T13:45:19","date_gmt":"2026-08-07T17:45:19","guid":{"rendered":"https:\/\/3quarksdaily.com\/?p=309089"},"modified":"2026-08-07T07:44:35","modified_gmt":"2026-08-07T11:44:35","slug":"why-the-legendary-erdos-problems-are-falling-to-ai","status":"publish","type":"post","link":"https:\/\/3quarksdaily.com\/3quarksdaily\/2026\/08\/why-the-legendary-erdos-problems-are-falling-to-ai.html","title":{"rendered":"Why the Legendary Erd\u0151s Problems Are Falling to AI"},"content":{"rendered":"

Konstantin Kakaes at Quanta<\/em>:<\/p>\n

\"\"On May 20, 2026, OpenAI made an announcement that shook the mathematical world. An internal AI model \u2014 one not available to the public \u2014 had come up with a\u00a0counterexample to the \u201cunit distance\u201d problem(opens a new tab)<\/span><\/a>, a conjecture made in 1946 by Paul Erd\u0151s, the prolific, itinerant Hungarian mathematician.<\/p>\n

Erd\u0151s posed thousands of questions, but this one was special: It was both simple to explain and mathematically deep. It was the first historically significant proof to come from an AI model. Though the model\u2019s result wasn\u2019t definitive \u2014\u00a0human mathematicians would substantially improve on it within weeks \u2014 it was innovative, bringing in ideas from a distant branch of math that no one had successfully applied to this problem before. And it was influential: Within a few days, related techniques were used to solve other important problems.<\/p>\n

Then on August 1, OpenAI\u00a0announced(opens a new tab)<\/span><\/a>\u00a0that an unreleased model named Astra made 10 additional mathematical advances, including finding solutions to three more problems posed by Erd\u0151s.<\/p>\n

More here<\/a>.<\/p>\n

Enjoying the content on 3QD? Help keep us going by donating now<\/a>.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Konstantin Kakaes at Quanta: On May 20, 2026, OpenAI made an announcement that shook the mathematical world. An internal AI model \u2014 one not available to the public \u2014 had come up with a\u00a0counterexample to the \u201cunit distance\u201d problem(opens a new tab), a conjecture made in 1946 by Paul Erd\u0151s, the prolific, itinerant Hungarian mathematician.…<\/p>\n","protected":false},"author":34,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"pmpro_default_level":"","footnotes":""},"categories":[5918],"tags":[],"class_list":["post-309089","post","type-post","status-publish","format-standard","hentry","category-recommended-reading","pmpro-has-access"],"_links":{"self":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309089","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/users\/34"}],"replies":[{"embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/comments?post=309089"}],"version-history":[{"count":2,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309089\/revisions"}],"predecessor-version":[{"id":309092,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/posts\/309089\/revisions\/309092"}],"wp:attachment":[{"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/media?parent=309089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/categories?post=309089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/3quarksdaily.com\/wp-json\/wp\/v2\/tags?post=309089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}},{"id":309086,"date":"2026-08-07T12:45:22","date_gmt":"2026-08-07T16:45:22","guid":{"rendered":"https:\/\/3quarksdaily.com\/?p=309086"},"modified":"2026-08-07T07:39:49","modified_gmt":"2026-08-07T11:39:49","slug":"very-interesting-why-modern-pop-all-sounds-the-same","status":"publish","type":"post","link":"https:\/\/3quarksdaily.com\/3quarksdaily\/2026\/08\/very-interesting-why-modern-pop-all-sounds-the-same.html","title":{"rendered":"Very interesting: Why Modern Pop All Sounds The Same"},"content":{"rendered":"