William Bigelow Easton

	William Bigelow Easton William Bigelow Easton was an American mathematician who proved Easton's theorem about the possible values of the continuum function. His advisor at Princeton was the famed mathematician and computer scientist Alonzo Church Alonzo Church (June 14, 1903 – August 11, 1995) was an American computer scientist, mathematician, logician, and philosopher who made major contributions to mathematical logic and the foundations of theoretical computer science. He is bes .... Publications * References Set theorists American computer scientists Year of birth missing Possibly living people {{Mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Easton's Theorem In set theory, Easton's theorem is a result on the possible cardinal numbers of powersets. (extending a result of Robert M. Solovay) showed via forcing that the only constraints on permissible values for 2''κ'' when ''κ'' is a regular cardinal are : \kappa < \operatorname(2^\kappa) (where cf(''α'') is the cofinality of ''α'') and : $\text \kappa < \lambda \text 2^\kappa\le 2^\lambda.$ Statement If $G$ is a class function whose domain consists of ordinals and whose range consists of ordinals such that # $G$ is non-decreasing, # th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Continuum Function In mathematics, the continuum function is \kappa\mapsto 2^\kappa, i.e. raising 2 to the power of κ using cardinal exponentiation. Given a cardinal number, it is the cardinality of the power set of a set of the given cardinality. See also Continuum hypothesis Cardinality of the continuum Beth number Easton's theorem Gimel function In axiomatic set theory, the gimel function is the following function mapping cardinal numbers to cardinal numbers: :\gimel\colon\kappa\mapsto\kappa^ where cf denotes the cofinality function; the gimel function is used for studying the continuum ... Cardinal numbers References {{settheory-stub ... [...More Info...] [...Related Items...] OR:* [Wikipedia] [Google] [Baidu]
	Alonzo Church Alonzo Church (June 14, 1903 – August 11, 1995) was an American computer scientist, mathematician, logician, and philosopher who made major contributions to mathematical logic and the foundations of theoretical computer science. He is best known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the ''Entscheidungsproblem'' ("decision problem"), the Frege–Church ontology, and the Church–Rosser theorem. Alongside his doctoral student Alan Turing, Church is considered one of the founders of computer science. Life Alonzo Church was born on June 14, 1903, in Washington, D.C., where his father, Samuel Robbins Church, was a justice of the peace and the judge of the Municipal Court for the District of Columbia. He was the grandson of Alonzo Webster Church (1829–1909), United States Senate Librarian from 1881 to 1901, and great-grandson of Alonzo Church, a professor of Mathematics and Astronomy and 6th President of the University of Ge ... [...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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	American Computer Scientists 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 S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Year Of Birth Missing A year is a unit of time based on how long it takes the Earth to orbit the Sun. In scientific use, the tropical year (approximately 365 solar days, 5 hours, 48 minutes, 45 seconds) and the sidereal year (about 20 minutes longer) are more exact. The modern calendar year, as reckoned according to the Gregorian calendar, approximates the tropical year by using a system of leap years. The term 'year' is also used to indicate other periods of roughly similar duration, such as the lunar year (a roughly 354-day cycle of twelve of the Moon's phasessee lunar calendar), as well as periods loosely associated with the calendar or astronomical year, such as the seasonal year, the fiscal year, the academic year, etc. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by changes in weather, the hours of daylight, and, consequently, vegetation and soil fertility. In temperate and subpolar regions around the planet, four seasons are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]

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