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🔗 Mathematics

The interesting number paradox is a semi-humorous paradox which arises from the attempt to classify every natural number as either "interesting" or "uninteresting". The paradox states that every natural number is interesting. The "proof" is by contradiction: if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number, thus producing a contradiction.

In a discussion between the mathematicians G. H. Hardy and Srinivasa Ramanujan about interesting and uninteresting numbers, Hardy remarked that the number 1729 of the taxicab he had ridden seemed "rather a dull one", and Ramanujan immediately answered that it is interesting, being the smallest number that is the sum of two cubes in two different ways.

🔗 Novels 🔗 Transhumanism

The Metamorphosis of Prime Intellect is a 1994 novel by Roger Williams, a programmer living in New Orleans. It deals with the ramifications of a powerful, superintelligent supercomputer that discovers god-like powers to alter reality while studying a quirk of quantum physics discovered during the prototyping of its own specialised processors, ultimately heralding a technological singularity. After remaining unpublished for years, the novel was published online in 2002, hosted by Kuro5hin; Williams later published a print edition via print-on-demand publisher Lulu. One reviewer called the novel "a well-written and very creative, if flawed, piece of work" and ranked it as one of the more important works of fiction to deal with the idea of a technological singularity.

🔗 United States 🔗 Biography 🔗 California 🔗 Women scientists 🔗 Biography/science and academia 🔗 Astronomy 🔗 United States/Arizona 🔗 Solar System 🔗 California/California State University

Carolyn Jean Spellmann Shoemaker (June 24, 1929 – August 13, 2021) was an American astronomer and a co-discoverer of Comet Shoemaker–Levy 9. She once held the record for most comets discovered by an individual.

Although Shoemaker earned degrees in history, political science and English literature, she had little interest in science until she met and married geologist Eugene M. ("Gene") Shoemaker in 1950–51. She later said that his explanations of his work thrilled her. Despite her relative inexperience and lack of a science degree, California Institute of Technology (Caltech) had no objection to her joining Gene's team there as a research assistant. She had already shown herself to be unusually patient, and demonstrated exceptional stereoscopic vision, which were particularly valuable qualities for looking for objects in near-Earth space.

🔗 Physics

In mathematics and applied mathematics, perturbation theory comprises methods for finding an approximate solution to a problem, by starting from the exact solution of a related, simpler problem. A critical feature of the technique is a middle step that breaks the problem into "solvable" and "perturbative" parts. In perturbation theory, the solution is expressed as a power series in a small parameter ${\displaystyle \varepsilon }$. The first term is the known solution to the solvable problem. Successive terms in the series at higher powers of ${\displaystyle \varepsilon }$ usually become smaller. An approximate 'perturbation solution' is obtained by truncating the series, usually by keeping only the first two terms, the solution to the known problem and the 'first order' perturbation correction.

Perturbation theory is used in a wide range of fields, and reaches its most sophisticated and advanced forms in quantum field theory. Perturbation theory (quantum mechanics) describes the use of this method in quantum mechanics. The field in general remains actively and heavily researched across multiple disciplines.

🔗 Lists 🔗 Automobiles

This is a list of predictions for autonomous Tesla vehicles made by Elon Musk, CEO of Tesla, Inc. The predictions concern Tesla's suite of advanced driver assistance system (ADAS) functions, marketed as of December 2025 as "Full Self-Driving (Supervised)" ("FSD"), and provide estimates for when Tesla will achieve fully autonomous driving, requiring no human intervention, which SAE considers Level 5 automation. Tesla does not classify FSD according to the SAE levels of autonomy, but has acknowledged that full autonomy is "dependent on achieving reliability far in excess of human drivers as demonstrated by billions of miles of experience, as well as regulatory approval, which may take longer in some jurisdictions".

Musk has publicly stated estimated timelines and intended capabilities of the system since at least 2013. FSD and Autopilot are classified as SAE Level 2 ADAS, as of January 2024. A lawsuit filed in February 2023 by Tesla investors alleging that Musk committed securities fraud by making misleading statements about the development timeline of autonomous Tesla vehicles was dismissed without prejudice in September 2024; the judge ruled that Tesla's legal team successfully argued that Elon Musk's statements were "corporate puffery", i.e., vague corporate optimism.

Notes

🔗 Computing 🔗 Computing/Software 🔗 Computing/Free and open-source software 🔗 Websites 🔗 Websites/Computing

Advogato was an online community and social networking site dedicated to free software development and created by Raph Levien. In 2007, Steve Rainwater took over maintenance and new development from Raph. In 2016, Rainwater's running instance was shut down and backed up to archive.org.

🔗 Computing 🔗 Computing/Software

86-DOS is a discontinued operating system developed and marketed by Seattle Computer Products (SCP) for its Intel 8086-based computer kit. Initially known as QDOS (Quick and Dirty Operating System), the name was changed to 86-DOS once SCP started licensing the operating system in 1980.

86-DOS had a command structure and application programming interface that imitated that of Digital Research's CP/M operating system, which made it easy to port programs from the latter. The system was licensed and then purchased by Microsoft and developed further as MS-DOS and PC DOS.

🔗 United States 🔗 Biography 🔗 Military history 🔗 Military history/North American military history 🔗 Military history/United States military history 🔗 United States/Military history - U.S. military history 🔗 Military history/Military biography 🔗 Biography/military biography 🔗 Military history/World War II 🔗 Military history/Cold War 🔗 United States/Texas 🔗 Biography/Actors and Filmmakers 🔗 Biography/Musicians 🔗 Westerns 🔗 Westerns/Biography

Audie Leon Murphy (20 June 1925 – 28 May 1971) was an American soldier, actor, and songwriter. He was widely celebrated as the most decorated American combat soldier of World War II, and has been described as the most highly decorated soldier in U.S. history. He received every military combat award for valor available from the United States Army, as well as French and Belgian awards for heroism. Murphy received the Medal of Honor for valor that he demonstrated at the age of 19 for single-handedly holding off a company of German soldiers for an hour at the Colmar Pocket in France in January 1945, before leading a successful counterattack while wounded and out of ammunition.

Murphy was born into a large family of sharecroppers in Hunt County, Texas. After his father abandoned them, his mother died when he was a teenager. Murphy left school in fifth grade to pick cotton and find other work to help support his family; his skill with a hunting rifle helped feed his family.

After the attack on Pearl Harbor in 1941, Murphy's older sister helped him to falsify documentation about his birthdate in order to meet the minimum age requirement for enlisting in the military. Turned down initially for being underweight by the Army, Navy, and the Marine Corps, he eventually was able to enlist in the Army. He first saw action in the 1943 Allied invasion of Sicily; then in 1944 he participated in the Battle of Anzio, the liberation of Rome, and the invasion of southern France. Murphy fought at Montélimar and led his men on a successful assault at L'Omet quarry near Cleurie in northeastern France in October. Despite suffering from multiple illnesses and wounds throughout his service, Murphy became one of the most praised and decorated soldiers of World War II. He is credited with killing 241 enemy soldiers.

After the war, Murphy embarked on a 21-year acting career. He played himself in the 1955 autobiographical film To Hell and Back, based on his 1949 memoirs of the same name, but most of his roles were in Westerns. He made guest appearances on celebrity television shows and starred in the series Whispering Smith. Murphy was a fairly accomplished songwriter. He bred quarter horses in California and Arizona, and became a regular participant in horse racing.

Because Murphy had what would today be described as post-traumatic stress disorder (PTSD), then known as "battle fatigue", he slept with a loaded handgun under his pillow. He looked for solace in addictive sleeping pills. In his last few years, he was plagued by money problems but refused offers to appear in alcohol and cigarette commercials because he did not want to set a bad example. Murphy died in a plane crash in Virginia in 1971, shortly before his 46th birthday. He was interred with military honors at Arlington National Cemetery, where his grave is one of the most visited.

🔗 Biography 🔗 Companies 🔗 Crime 🔗 Health and fitness

The Sackler family is an American family who founded and own the pharmaceutical companies Purdue Pharma and Mundipharma. Purdue Pharma, and some members of the family, have faced lawsuits regarding overprescription of addictive pharmaceutical drugs, including OxyContin. Purdue Pharma has been criticized for its role in the opioid epidemic in the United States. They have been described as the "most evil family in America", "drug dealers" and "the worst drug dealers in history".

The Sackler family has been profiled in various media, including the documentary Crime of the Century on HBO, the book Empire of Pain by Patrick Radden Keefe, and the 2021 Hulu mini-series Dopesick.

🔗 Germany 🔗 Military history 🔗 Death 🔗 Lists 🔗 Politics 🔗 LGBT studies 🔗 Discrimination 🔗 Military history/World War II 🔗 Military history/German military history 🔗 Politics/Fascism 🔗 Jewish history 🔗 Military history/European military history

This is an incomplete list of documented attempts to assassinate Adolf Hitler.

All attempts occurred in the German Reich, except where noted. All attempts involved citizens of the German Reich, except where noted. No fewer than 42 plots have been uncovered by historians. However, the true numbers cannot be accurately determined due to an unknown number of undocumented cases.