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Donald A. Martin
Donald Anthony Martin (born December 24, 1940), also known as Tony Martin, is an American set theorist and philosopher of mathematics at UCLA, where he is an emeritus professor of mathematics and philosophy. Education and career Martin received his B.S. from the Massachusetts Institute of Technology in 1962 and was a Junior Fellow of the Harvard Society of Fellows in 1965–67. In 2014, he became a Fellow of the American Mathematical Society. retrieved 2014-12-17 Philosophical and mathematical work Among Martin's most notable works are the proofs of analytic |
Donald Martin
Don Martin may refer to: * Don Martin (cartoonist) (1931–2000), cartoonist for ''Mad Magazine'' * Don Martin (footballer) (1944–2009), English professional footballer for Northampton Town and Blackburn Rovers * Don Martin (basketball) (1920–1997), American professional basketball player * Don Martin (American football) (born 1949), professional American football player * Don Martin (journalist), Canadian television and newspaper journalist * Don Martin (field hockey) (born 1940), former Australian field hockey player * Don Martin, Norwegian rapper, ex-member of Gatas Parlament Donald Martin may refer to: * Donald A. Martin (born 1940), set theorist and philosopher of mathematics at UCLA * Donald Charles Martin (1849–1888), lawyer and political figure in Prince Edward Island * Donald Paul Martin (1940–2019), founder of Martin Research Ltd. * Donald Martin (screenwriter), Canadian screenwriter * Donald Martin (bishop) (1873–1938), Scottish Roman Catholic clergyman ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Martin's Axiom
In the mathematical field of set theory, Martin's axiom, introduced by Donald A. Martin and Robert M. Solovay, is a statement that is independent of the usual axioms of ZFC set theory. It is implied by the continuum hypothesis, but it is consistent with ZFC and the negation of the continuum hypothesis. Informally, it says that all cardinals less than the cardinality of the continuum, \mathfrak c, behave roughly like \aleph_0. The intuition behind this can be understood by studying the proof of the Rasiowa–Sikorski lemma. It is a principle that is used to control certain forcing arguments. Statement For any cardinal 𝛋, we define a statement, denoted by MA(𝛋): For any partial order ''P'' satisfying the countable chain condition (hereafter ccc) and any family ''D'' of dense sets in ''P'' such that '', D, '' ≤ 𝛋, there is a filter ''F'' on ''P'' such that ''F'' ∩ ''d'' is non-empty for every ''d'' in ''D''. \operatorname(\aleph_0) is simply true — this is kno ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Set Theorists
Set, The Set, SET or SETS may refer to: Science, technology, and mathematics Mathematics * Set (mathematics), a collection of elements *Category of sets, the category whose objects and morphisms are sets and total functions, respectively Electronics and computing * Set (abstract data type), a data type in computer science that is a collection of unique values ** Set (C++), a set implementation in the C++ Standard Library * Set (command), a command for setting values of environment variables in Unix and Microsoft operating-systems * Secure Electronic Transaction, a standard protocol for securing credit card transactions over insecure networks * Single-electron transistor, a device to amplify currents in nanoelectronics * Single-ended triode, a type of electronic amplifier * Set!, a programming syntax in the scheme programming language Biology and psychology * Set (psychology), a set of expectations which shapes perception or thought *Set or sett, a badger's den *Set, a small tu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophers Of Mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The philosophy of mathematics has two major themes: mathematical realism and mathematical anti-realism. History The origin of mathematics is subject to arguments and disagreements. Whether the birth of mathematics was a random happening or induced by necessity during the development of other subjects, like physics, is still a matter of prolific debates. Many thinkers have contributed their ideas concerning the nature of mathematics. Today, some philosophers of mathematics aim to give accounts of this form of inquiry and its products as they stand, while others emphasize a role for themselves that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
UCLA Philosophy
The University of California, Los Angeles (UCLA) is a public university, public Land-grant university, land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a Normal school, teachers college then known as the southern branch of the California State Normal School (now San Jose State University, San José State University). This school was absorbed with the official founding of UCLA as the Southern Branch of the University of California in 1919, making it the second-oldest of the 10-campus University of California system (after UC Berkeley). UCLA offers 337 undergraduate and graduate degree programs in a wide range of disciplines, enrolling about 31,600 undergraduate and 14,300 graduate and professional students. UCLA received 174,914 undergraduate applications for Fall 2022, including transfers, making the school the most applied-to Higher education in the United States, university in the United States. The university is or ... [...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 previously known as Def American * American University, in Washington, D.C. Sports teams Soccer * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emper ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1940 Births
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of American Philosophers
This is a list of American philosophers; of philosophers who are either from, or spent many productive years of their lives in the United States. {, border="0" style="margin:auto;" class="toccolours" , - ! {{MediaWiki:Toc , - , style="text-align:center;", A B C D E F G H I J K L M N O P Q R S T U V W Y Z __NOTOC__ See also – References A * Francis Ellingwood Abbot * David Abram *Peter Achinstein * Marilyn McCord Adams * Robert Merrihew Adams *Jane Addams * Mortimer Adler *Rogers Albritton *Amos Bronson Alcott * Linda Martín Alcoff * Virgil Aldrich * Hartley Burr Alexander * Diogenes Allen * Robert F. Almeder * William Alston * Alice Ambrose * Karl Ameriks * C. Anthony Anderson *Elizabeth S. Anderson * Gordon Anderson * Judith Andre *Julia Annas * Ruth Nanda Anshen * Louise Antony * Hannah Arendt * Richard Arneson * Robert Arp * Robert Arrington * Bradley Shavit Artson * Warren Ashby * Januarius Jingwa Asongu * Margaret Atherton *Robert Audi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Philosophy
American philosophy is the activity, corpus, and tradition of philosophers affiliated with the United States. The '' Internet Encyclopedia of Philosophy'' notes that while it lacks a "core of defining features, American Philosophy can nevertheless be seen as both reflecting and shaping collective American identity over the history of the nation"."American philosophy" at the Internet Encyclopedia of Philosophy Retrieved on May 24, 2009 The philosophy of the founders of the United States is largely seen as an extension of the European Enlightenment. A small number of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
