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J.B. Rosser
John Barkley Rosser Sr. (December 6, 1907 – September 5, 1989) was an American logician, a student of Alonzo Church, and known for his part in the Church–Rosser theorem in lambda calculus. He also developed what is now called the "Rosser sieve" in number theory. He was part of the mathematics department at Cornell University from 1936 to 1963, chairing it several times. He was later director of the Army Mathematics Research Center at the University of Wisconsin–Madison and the first director of the Institute for Defense Analyses#Center for Communications and Computing, Communications Research Division of IDA. Rosser also authored mathematical textbooks. In 1936, he proved Rosser's trick, a stronger version of Gödel's first incompleteness theorem, showing that the requirement for ω-consistency may be weakened to consistency. Rather than using the liar paradox sentence equivalent to "I am not provable," he used a sentence that stated "For every proof of me, there is a short ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson White in 1865. Since its founding, Cornell University has been a Mixed-sex education, co-educational and nonsectarian institution. As of fall 2024, the student body included 16,128 undergraduate and 10,665 graduate students from all 50 U.S. states and 130 countries. The university is organized into eight Undergraduate education, undergraduate colleges and seven Postgraduate education, graduate divisions on its main Ithaca campus. Each college and academic division has near autonomy in defining its respective admission standards and academic curriculum. In addition to its primary campus in Ithaca, Cornell University administers three satellite campuses, including two in New York City, the Weill Cornell Medicine, medical school and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rosser Sieve
Rosser may refer to: People * Rosser Evans (1867–?), Welsh international rugby union half-back * Arthur Rosser (1864–1954), New Zealand builder, local-body politician and trade unionist * Mel Rosser (1901–1988), Welsh international rugby centre * Richard Rosser, Baron Rosser (born 1944), British former trade union leader and Labour politician * Susan Rosser, British professor of synthetic biology * Tania Rosser (born 1978), New Zealand-born Irish rugby union player Americans * Rosser Reeves (1910–1984), American advertising executive * Dois I. Rosser Jr. (1921–2019), American businessman * Eric Franklin Rosser (born 1952), American former keyboardist and convicted child pornographer * J. Allyn Rosser (born 1957), American poet * J. Barkley Rosser John Barkley Rosser Sr. (December 6, 1907 – September 5, 1989) was an American logician, a student of Alonzo Church, and known for his part in the Church–Rosser theorem in lambda calculus. He also developed wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Logicians
American(s) may refer to: * American, something of, from, or related to the United States of America, commonly known as the "United States" or "America" ** Americans, citizens and nationals of the United States of America ** American ancestry, people who self-identify their ancestry as "American" ** American English, the set of varieties of the English language native to the United States ** Native Americans in the United States, indigenous peoples of the United States * American, something of, from, or related to the Americas, also known as "America" ** Indigenous peoples of the Americas * American (word), for analysis and history of the meanings in various contexts Organizations * American Airlines, U.S.-based airline headquartered in Fort Worth, Texas * American Athletic Conference, an American college athletic conference * American Recordings (record label), a record label that was previously known as Def American * American University, in Washington, D.C. Sports teams ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Jacksonville, Florida
The term "the people" refers to the public or common mass of people of a polity. As such it is a concept of human rights law, international law as well as constitutional law, particularly used for claims of popular sovereignty. In contrast, a people is any plurality of persons considered as a whole. Used in politics and law, the term "a people" refers to the collective or community of an ethnic group or nation. Concepts Legal Chapter One, Article One of the Charter of the United Nations states that "peoples" have the right to self-determination. Though the mere status as peoples and the right to self-determination, as for example in the case of Indigenous peoples (''peoples'', as in all groups of indigenous people, not merely all indigenous persons as in ''indigenous people''), does not automatically provide for independent sovereignty and therefore secession. Indeed, judge Ivor Jennings identified the inherent problems in the right of "peoples" to self-determinat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1989 Deaths
1989 was a turning point in political history with the " Revolutions of 1989" which ended communism in Eastern Bloc of Europe, starting in Poland and Hungary, with experiments in power-sharing coming to a head with the opening of the Berlin Wall in November, the Velvet Revolution in Czechoslovakia and the overthrow of the communist dictatorship in Romania in December; the movement ended in December 1991 with the dissolution of the Soviet Union. Revolutions against communist governments in Eastern Europe mainly succeeded, but the year also saw the suppression by the Chinese government of the 1989 Tiananmen Square protests in Beijing. It was the year of the first Brazilian direct presidential election in 29 years, since the end of the military government in 1985 that ruled the country for more than twenty years, and marked the redemocratization process's final point. F. W. de Klerk was elected as State President of South Africa, and his regime gradually dismantled th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1907 Births
Events January * January 14 – 1907 Kingston earthquake: A 6.5 Mw earthquake in Kingston, Jamaica, kills between 800 and 1,000. February * February 9 – The " Mud March", the first large procession organised by The National Union of Women's Suffrage Societies ( NUWSS), takes place in London. * February 11 – The French warship ''Jean Bart'' sinks off the coast of Morocco. * February 12 – The steamship ''Larchmont'' collides with the ''Harry Hamilton'' in Long Island Sound; 183 lives are lost. * February 16 – SKF, a worldwide mechanical parts manufacturing brand (mainly, bearings and seals), is founded in Gothenburg, Sweden. * February 21 – The English mail steamship ''Berlin'' is wrecked off the Hook of Holland; 142 lives are lost. * February 24 – The Austrian Lloyd steamship ''Imperatrix'', from Trieste to Bombay, is wrecked on Cape of Crete and sinks; 137 lives are lost. March * March ** The steamship ''Congo'' collide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Economics
Mathematical economics is the application of Mathematics, mathematical methods to represent theories and analyze problems in economics. Often, these Applied mathematics#Economics, applied methods are beyond simple geometry, and may include differential and integral calculus, Recurrence relation, difference and differential equations, Matrix (mathematics), matrix algebra, mathematical programming, or other Computational economics, computational methods.TOC. Proponents of this approach claim that it allows the formulation of theoretical relationships with rigor, generality, and simplicity. Mathematics allows economists to form meaningful, testable propositions about wide-ranging and complex subjects which could less easily be expressed informally. Further, the language of mathematics allows economists to make specific, positiv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington Post
''The Washington Post'', locally known as ''The'' ''Post'' and, informally, ''WaPo'' or ''WP'', is an American daily newspaper published in Washington, D.C., the national capital. It is the most widely circulated newspaper in the Washington metropolitan area and has a national audience. As of 2023, the ''Post'' had 130,000 print subscribers and 2.5 million digital subscribers, both of which were the List of newspapers in the United States, third-largest among U.S. newspapers after ''The New York Times'' and ''The Wall Street Journal''. The ''Post'' was founded in 1877. In its early years, it went through several owners and struggled both financially and editorially. In 1933, financier Eugene Meyer (financier), Eugene Meyer purchased it out of bankruptcy and revived its health and reputation; this work was continued by his successors Katharine Graham, Katharine and Phil Graham, Meyer's daughter and son-in-law, respectively, who bought out several rival publications. The ''Post ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Aneurysm
An aneurysm is an outward :wikt:bulge, bulging, likened to a bubble or balloon, caused by a localized, abnormal, weak spot on a blood vessel wall. Aneurysms may be a result of a hereditary condition or an acquired disease. Aneurysms can also be a wikt:Special:Search/nidus, nidus (starting point) for clot formation (thrombosis) and Embolism, embolization. As an aneurysm increases in size, the risk of rupture increases, which could lead to uncontrolled bleeding. Although they may occur in any blood vessel, particularly lethal examples include aneurysms of the circle of Willis in the brain, aortic aneurysms affecting the thoracic aorta, and abdominal aortic aneurysms. Aneurysms can arise in the heart itself following a Myocardial infarction, heart attack, including both Ventricular aneurysm, ventricular and atrial septal aneurysms. There are congenital atrial septal defect, atrial septal aneurysms, a rare heart defect. Etymology The word is from Greek language, Greek: ἀνεύρ� ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rosser's Theorem
In number theory, Rosser's theorem states that the nth prime number is greater than n \log n , where \log is the natural logarithm function. It was published by J. Barkley Rosser in 1939. Its full statement is: Let p_n be the nth prime number. Then for n\geq 1 :p_n > n \log n. In 1999, Pierre Dusart proved a tighter lower bound:{{cite journal, authorlink=Pierre Dusart, last=Dusart, first=Pierre, title=The kth prime is greater than k(\log k + \log\log k - 1) for k\geq 2, journal=Mathematics of Computation, volume=68, issue=225, year=1999, pages=411–415, mr=1620223, doi=10.1090/S0025-5718-99-01037-6, doi-access=free : p_n > n (\log n + \log \log n - 1). See also * Prime number theorem In mathematics, the prime number theorem (PNT) describes the asymptotic analysis, asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by p ... References External linksRosser's th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liar Paradox
In philosophy and logic, the classical liar paradox or liar's paradox or antinomy of the liar is the statement of a liar that they are lying: for instance, declaring that "I am lying". If the liar is indeed lying, then the liar is telling the truth, which means the liar just lied. In "this sentence is a lie", the paradox is strengthened in order to make it amenable to more rigorous logical analysis. It is still generally called the "liar paradox" although abstraction is made precisely from the liar making the statement. Trying to assign to this statement, the strengthened liar, a classical binary truth value leads to a contradiction. Assume that "this sentence is false" is true, then we can trust its content, which states the opposite and thus causes a contradition. Similarly, we get a contradiction when we assume the opposite. History The Epimenides paradox (c. 600 BC) has been suggested as an example of the liar paradox, but they are not logically equivalent. The semi-mythica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
