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Alonzo Church

Index Alonzo Church

Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science. [1]

71 relations: Alan Turing, Alfred Foster (mathematician), C. Anthony Anderson, Case Western Reserve University, Church encoding, Church–Rosser theorem, Church–Turing thesis, Church–Turing–Deutsch principle, Dana Scott, David Berlinski, David Kaplan (philosopher), Decision problem, Doctor of Philosophy, Entscheidungsproblem, Frege–Church ontology, Functional programming, Gary R. Mar, George Alfred Barnard, Gian-Carlo Rota, Halting problem, Hartley Rogers Jr., Harvard University, Herbert Enderton, Higher-order logic, Hudson, Ohio, International Congress of Mathematicians, Isaac Malitz, J. Barkley Rosser, John Corcoran (logician), John G. Kemeny, Journal of Symbolic Logic, Lambda calculus, Leon Henkin, Lisp (programming language), List of logicians, List of pioneers in computer science, Logic, Lorentz transformation, Martin Davis, Mathematical logic, Mathematician, Mathematics, Maurice L'Abbé, Michael O. Rabin, Modal logic, National Academies of Sciences, Engineering, and Medicine, Nicholas Rescher, Oswald Veblen, Peano axioms, Peter B. Andrews, ..., Presbyterianism, Princeton Cemetery, Princeton University, Raymond Smullyan, Ridgefield, Connecticut, Simon B. Kochen, Stephen Cole Kleene, Theoretical computer science, Theory (mathematical logic), Turing machine, Undecidable problem, United States, Universal set, University at Buffalo, University of Amsterdam, University of California, Los Angeles, University of Chicago, University of Göttingen, Washington, D.C., Wilfrid Hodges, William Boone (mathematician). Expand index (21 more) »

Alan Turing

Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.

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Alfred Foster (mathematician)

Alfred Leon Foster (known as Alfred Foster) was an American mathematician.

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C. Anthony Anderson

Curtis Anthony Anderson (born May 29, 1940) is a contemporary American philosopher, presently Professor of Philosophy at the University of California at Santa Barbara.

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Case Western Reserve University

Case Western Reserve University (also known as Case Western Reserve, Case Western, Case, and CWRU) is a private doctorate-granting university in Cleveland, Ohio.

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Church encoding

In mathematics, Church encoding is a means of representing data and operators in the lambda calculus.

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Church–Rosser theorem

In mathematics and theoretical computer science, the Church–Rosser theorem states that, when applying reduction rules to terms in the lambda calculus, the ordering in which the reductions are chosen does not make a difference to the eventual result.

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Church–Turing thesis

In computability theory, the Church–Turing thesis (also known as computability thesis, the Turing–Church thesis, the Church–Turing conjecture, Church's thesis, Church's conjecture, and Turing's thesis) is a hypothesis about the nature of computable functions.

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Church–Turing–Deutsch principle

In computer science and quantum physics, the Church–Turing–Deutsch principle (CTD principle) is a stronger, physical form of the Church–Turing thesis formulated by David Deutsch in 1985.

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Dana Scott

Dana Stewart Scott (born October 11, 1932) is the emeritus Hillman University Professor of Computer Science, Philosophy, and Mathematical Logic at Carnegie Mellon University; he is now retired and lives in Berkeley, California.

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David Berlinski

David Berlinski (born 1942) is an American author and academic who opposes the scientific consensus on the theory of evolution.

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David Kaplan (philosopher)

David Benjamin Kaplan (born September 17, 1933) is the Hans Reichenbach Professor of Scientific Philosophy at the University of California, Los Angeles Department of Philosophy.

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Decision problem

In computability theory and computational complexity theory, a decision problem is a problem that can be posed as a yes-no question of the input values.

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Entscheidungsproblem

In mathematics and computer science, the Entscheidungsproblem (German for "decision problem") is a challenge posed by David Hilbert in 1928.

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Frege–Church ontology

The Frege–Church ontology is an ontology, a theory of existence.

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Functional programming

In computer science, functional programming is a programming paradigm—a style of building the structure and elements of computer programs—that treats computation as the evaluation of mathematical functions and avoids changing-state and mutable data.

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Gary R. Mar

Gary R. Mar is an American philosopher specializing in Logic, the Philosophy of Mathematics, contemporary analytic philosophy, Asian American Philosophy and the Philosophy of Religion.

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George Alfred Barnard

George Alfred Barnard (23 September 1915 – 9 August 2002) was a British statistician known particularly for his work on the foundations of statistics and on quality control.

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Gian-Carlo Rota

Gian-Carlo Rota (April 27, 1932 – April 18, 1999) was an Italian-born American mathematician and philosopher.

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Halting problem

In computability theory, the halting problem is the problem of determining, from a description of an arbitrary computer program and an input, whether the program will finish running (i.e., halt) or continue to run forever.

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Hartley Rogers Jr.

Hartley Rogers Jr. (1926–2015) was a mathematician who worked in recursion theory, and was a professor in the Mathematics Department of the Massachusetts Institute of Technology.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Herbert Enderton

Herbert Bruce Enderton (April 15, 1936 – October 20, 2010) was a Professor Emeritus of Mathematics at UCLA and a former member of the faculties of Mathematics and of Logic and the Methodology of Science at the University of California, Berkeley.

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Higher-order logic

In mathematics and logic, a higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics.

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Hudson, Ohio

Hudson is a city in Summit County, Ohio, United States.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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Isaac Malitz

Isaac Richard Jay Malitz (born 1947, Cleveland, Ohio) is a logician who introduced the subject of positive set theory in his 1976 Ph.D. Thesis at UCLA.

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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.

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John Corcoran (logician)

John Corcoran (born 1937) is an American logician, philosopher, mathematician, and historian of logic.

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John G. Kemeny

John George Kemeny; May 31, 1926 – December 26, 1992) was a Jewish-American mathematician, computer scientist, and educator best known for co-developing the BASIC programming language in 1964 with Thomas E. Kurtz. Kemeny served as the 13th President of Dartmouth College from 1970 to 1981 and pioneered the use of computers in college education. Kemeny chaired the presidential commission that investigated the Three Mile Island accident in 1979. According to György Marx he was one of The Martians.

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Journal of Symbolic Logic

The Journal of Symbolic Logic is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic.

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Lambda calculus

Lambda calculus (also written as λ-calculus) is a formal system in mathematical logic for expressing computation based on function abstraction and application using variable binding and substitution.

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Leon Henkin

Leon Albert Henkin (April 19, 1921, Brooklyn, New York – November 1, 2006, Oakland, California), Oroville Mercury-Register, November 24, 2006.

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Lisp (programming language)

Lisp (historically, LISP) is a family of computer programming languages with a long history and a distinctive, fully parenthesized prefix notation.

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List of logicians

A logician is a person whose topic of scholarly study is logic.

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List of pioneers in computer science

This article presents a list of individuals who made transformative breakthroughs in the creation, development and imagining of what computers and electronics could do.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Lorentz transformation

In physics, the Lorentz transformations (or transformation) are coordinate transformations between two coordinate frames that move at constant velocity relative to each other.

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Martin Davis

Martin David Davis (born March 8, 1928) is an American mathematician, known for his work on Hilbert's tenth problem.

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Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Maurice L'Abbé

Maurice L'Abbé (1920 – July 21, 2006) was a Canadian academic and mathematician.

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Michael O. Rabin

Michael Oser Rabin (מִיכָאֵל עוזר רַבִּין, born September 1, 1931) is an Israeli computer scientist and a recipient of the Turing Award.

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Modal logic

Modal logic is a type of formal logic primarily developed in the 1960s that extends classical propositional and predicate logic to include operators expressing modality.

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National Academies of Sciences, Engineering, and Medicine

The National Academies of Sciences, Engineering, and Medicine (also known as "NASEM" or "the National Academies") is the collective scientific national academy of the United States.

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Nicholas Rescher

Nicholas Rescher (born 15 July 1928) is a German-American philosopher at the University of Pittsburgh.

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Oswald Veblen

Oswald Veblen (June 24, 1880 – August 10, 1960) was an American mathematician, geometer and topologist, whose work found application in atomic physics and the theory of relativity.

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Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.

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Peter B. Andrews

Peter Bruce Andrews (born 1937) is an American mathematician and Professor of Mathematics, Emeritus at Carnegie Mellon University in Pittsburgh, Pennsylvania, and the creator of the mathematical logic Q0.

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Presbyterianism

Presbyterianism is a part of the reformed tradition within Protestantism which traces its origins to Britain, particularly Scotland, and Ireland.

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Princeton Cemetery

Princeton Cemetery is located in Princeton, New Jersey.

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Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

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Raymond Smullyan

Raymond Merrill Smullyan (May 25, 1919 – February 6, 2017) was an American mathematician, magician, concert pianist, logician, Taoist, and philosopher.

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Ridgefield, Connecticut

Ridgefield is an affluent town in Fairfield County, Connecticut, United States.

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Simon B. Kochen

Simon Bernhard Kochen (born 14 August 1934, Antwerpen) is a Canadian mathematician, working in the fields of model theory, number theory and quantum mechanics.

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Stephen Cole Kleene

Stephen Cole Kleene (January 5, 1909 – January 25, 1994) was an American mathematician.

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Theoretical computer science

Theoretical computer science, or TCS, is a subset of general computer science and mathematics that focuses on more mathematical topics of computing and includes the theory of computation.

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Theory (mathematical logic)

In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language.

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Turing machine

A Turing machine is a mathematical model of computation that defines an abstract machine, which manipulates symbols on a strip of tape according to a table of rules.

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Undecidable problem

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is known to be impossible to construct a single algorithm that always leads to a correct yes-or-no answer.

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United States

The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.

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Universal set

In set theory, a universal set is a set which contains all objects, including itself.

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University at Buffalo

The State University of New York at Buffalo is a public research university with campuses in Buffalo and Amherst, New York, United States.

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University of Amsterdam

The University of Amsterdam (abbreviated as UvA, Universiteit van Amsterdam) is a public university located in Amsterdam, Netherlands.

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University of California, Los Angeles

The University of California, Los Angeles (UCLA) is a public research university in the Westwood district of Los Angeles, United States.

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University of Chicago

The University of Chicago (UChicago, U of C, or Chicago) is a private, non-profit research university in Chicago, Illinois.

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University of Göttingen

The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.

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Washington, D.C.

Washington, D.C., formally the District of Columbia and commonly referred to as Washington or D.C., is the capital of the United States of America.

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Wilfrid Hodges

Wilfrid Augustine Hodges, FBA (born 27 May 1941) is a British mathematician, known for his work in model theory.

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William Boone (mathematician)

William Werner Boone (16 January 1920 in Cincinnati – 14 September 1983 in Urbana, Illinois) was an American mathematician.

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References

[1] https://en.wikipedia.org/wiki/Alonzo_Church

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