1. Alonzo Church - Wikipedia, The Free Encyclopedia Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who was responsible for some of the foundations of theoretical http://en.wikipedia.org/wiki/Alonzo_Church

Alonzo Church From Wikipedia, the free encyclopedia Jump to: navigation search This article is about the mathematician and logician. For the president of the University of Georgia, see Alonzo S. Church Please help improve this article by expanding it. Further information might be found on the talk page or at requests for expansion (March 2007) Alonzo Church Alonzo Church (1903–1995) Born June 14 Washington, DC USA Died November 8 Hudson, Ohio , USA Residence USA Nationality American Field Mathematics Institutions Princeton University University of California, Los Angeles Princeton University Oswald Veblen ... Alan Turing Alonzo Church June 14 August 11 ) was an American mathematician and logician who was responsible for some of the foundations of theoretical computer science . Born in Washington, DC , he received a bachelor's degree from Princeton University in 1924, completing his Ph.D. there in 1927, under Oswald Veblen . After a post-doctoral fellowship at G¶ttingen , he taught at Princeton, 1929–1967, and at the University of California, Los Angeles Contents Mathematical work Students Death See also ... edit Mathematical work Church is best known for the following accomplishments: His proof that Peano arithmetic and first-order logic are undecidable . The latter result is known as Church's theorem His articulation of what has come to be known as Church's thesis He was the founding editor of the Journal of Symbolic Logic , editing its reviews section until 1979.

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3. Alonzo Church - Wikipedia Translate this page NAME, Church, Alonzo. KURZBESCHREIBUNG, US-amerikanischer Mathematiker und einer der Begründer der theoretischen Informatik. GEBURTSDATUM, 14. Juni 1903 http://de.wikipedia.org/wiki/Alonzo_Church

Alonzo Church aus Wikipedia, der freien Enzyklop¤die Wechseln zu: Navigation Suche Alonzo Church 14. Juni in Washington D.C. 11. August in Hudson Ohio ) war ein US-amerikanischer Mathematiker , Logiker und Philosoph und einer der Begr¼nder der theoretischen Informatik Er studierte an der Princeton University und schloss dort mit dem Doktorgrad ab. 1929 wurde er dort Professor f¼r Mathematik. Bei seinen mathematisch-logischen Fachkollegen bekannt geworden ist er f¼r seine Entwicklung des Lambda-Kalk¼ls , zu dem er 1936 einen Bericht schrieb, in dem er demonstrierte, dass es unentscheidbare Probleme gibt (d.h. die Antwort auf eine Fragestellung ist nicht mathematisch berechenbar ). Dieses Resultat regte seinen Studenten Alan Turing zu œberlegungen zum Halteproblem an, das auch unentscheidbar ist. Church und Turing fanden dann heraus, dass der Lambda-Kalk¼l und die Turingmaschine ebenb¼rtig in der Ausdruckskraft sind und konnten noch einige weitere ¤quivalente Mechanismen zum Berechnen von Funktionen angeben. Eine hieraus abgeleitete These f¼r den intuitiven Berechenbarkeitsbegriff ist unter dem Namen Church-Turing-These bekannt.

4. Alonzo Church - Britannica Concise Church s thesis a principle formulated by the 20th-century American logician Alonzo Church, stating that the recursive functions are the only functions http://concise.britannica.com/ebc/article-9360766/Alonzo-Church

document.writeln(AAMB1); Church, Alonzo Britannica Concise Print Article Email Article Cite Article Alonzo Church born June 14, 1903, Washington, D.C., U.S. died Aug. 11, 1995, Hudson, Ohio U.S. mathematician. He earned a Ph.D. from Princeton University. His contributions to number theory and the theories of algorithms and computability laid the foundations of computer science. The rule known as Church's theorem or Church's thesis (proposed independently by Alan M. Turing ) states that only recursive functions can be calculated mechanically and implies that arithmetic procedures cannot be used to decide the consistency of statements formulated in accordance with the laws of arithmetic. He wrote the standard textbook Introduction to Mathematical Logic (1956) and helped found the Journal of Symbolic Logic, which he edited until 1979. document.writeln(AAMB2); More on "Alonzo Church" from the 32 Volume Church's thesis - a principle formulated by the 20th-century American logician Alonzo Church, stating that the recursive functions are the only functions that can be mechanically calculated. The theorem implies that the procedures of arithmetic cannot be used to decide the consistency of statements formulated in accordance with the laws of arithmetic. Church, Alonzo

5. JSTOR Alonzo Church THE BULLETIN OF SYMBOLIC LOGIC Volume 3, Number 2, June 1997 ALONZO church alonzo Church played a major role in the development of both Logic and The http://links.jstor.org/sici?sici=1079-8986(199706)3:2<153:AC>2.0.CO;2-0

6. Alonzo Church Biography And Summary Alonzo Church biography with 243 pages of profile on Alonzo Church sourced from encyclopedias, critical essays, summaries, and research journals. http://www.bookrags.com/Alonzo_Church

Literature Guides Criticism/Essays Biographies Research Anything: All BookRags Literature Guides Essays Criticism Biographies Encyclopedias History Encyclopedias Films Periodic Table ... Amazon.com Alonzo Church Summary Order the Alonzo Church Summary Pack Alonzo Church About 243 pages (72,767 words) in 6 products "Alonzo Church" Search Results Contents: Biographies Related Topics Summaries Biography Name: Alonzo Church Birth Date: Death Date: Nationality: American Gender: Male Occupations: mathematician and logician summary from source: Biography of Alonzo Church 904 words, approx. 3 pages Alonzo Church was an American mathematician and logician who provided significant innovations in number theoryand decision theory, the foundation of computerprogramming. His most important contributions focus on the degrees of decidabilityand... summary from source: Biography of Alonzo Church 865 words, approx. 3 pages Alonzo Church was an American mathematician and logician who provided significant innovations in number theory and decision theory, the foundation of computer programming. His most important contributions focus on the degrees of decidability and... Encyclopedia and Summary Information summary from source: Summary 1,133 words, approx. 4 pages

7. Wiki Alonzo Church Alonzo Church (June 14, 1903 August 11, 1995) was an American mathematician and logician who was responsible for some of the foundations of theoretical http://wapedia.mobi/en/Alonzo_Church

Wiki: Alonzo Church FREE mobile phone Wallpapers (Ad) Contents: 1. Mathematical work 2. Students 3. Death 4. See also ... 6. Sources and external links This article is about the mathematician and logician. For the president of the University of Georgia, see Alonzo S. Church Ads by Google SharePoint Dummy - SharePoint Experts - www.thesug.org/dummy Home Licensing Wapedia: For Wikipedia on mobile phones

8. FOLDOP Search Alonzo Church, A Bibliography of Symbolic Logic (16661935) (Association of Symbolic Logic, 1985). A Dictionary of Philosophical Terms and Names http://www.swif.it/foldop/dizionario.php?find=Church Alonzo

9. CHURCH Genealogy : CHURCH, Alonzo - Born: Died: church alonzo born on in died on in. church alonzo1. Home Home Search Search Print Print Add Bookmark Add Bookmark http://byrnefamily.net/e107_plugins/tngIL/getperson.php?personID=I06932&tree=Gar

10. Bertrand Russell's Ontological Development church alonzo, Comparison of Russell s resolution of the semantical antinomies with that church alonzo, Russell s theory of identity of propositions, http://www.formalontology.it/russellb.htm

Home Site Map Ontologists of the 20th century Bertrand Russell's Ontological Development "It was Frege and Russell, not Wittgenstein or Quine, who began what may be called the ontology of the analytic tradition." Jan Dejnožka - The ontology of the analytic tradition and its origins - p. 149 INTRODUCTION "Russell, in Principles of Mathematics, may seem to be a radical relativist. I quote this text again: Numbers cannot be asserted of objects, because the same set of objects may have different numbers assigned to them...; for example, one army is so many regiments and such another number of soldiers. This view seems to me to involve too physical a view of objects: I do not consider the army to be the same object as the regiments. (Principles of Mathematics [POM] 519). Alternatively, in that every application of a concept `presupposes numerical diversity', in that every entity has its own immediate identity, Principles suggests a radical realism. The one thing Principles seems to not to be is modified realism, since Russell expressly denies the distinction between real distinction and conceptual distinction (POM 466). But this denial seems quite disingenuous in light of his own distinction between empirical (or actual) existence and mathematical (or logical) existence. Surely the truth is that Principles indulges in a rich and complex modified realism. Spatial, temporal, and material points are kinds of terms which differ only immediately. (...)

11. Church Summary Biography from the MacTutor History of Mathematics archive. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Church.html

Alonzo Church Click the picture above to see a larger version Full MacTutor biography [Version for printing] List of References (13 books/articles) Mathematicians born in the same country Show birthplace location Honours awarded to Alonzo Church (Click below for those honoured in this way) Speaker at International Congress Other Web sites Gian-Carlo Rota Princeton (Interview with Church) Stanford Encyclopedia of Philosophy (The Church-Turing thesis) Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © November 2004 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Church.html

12. The Church Project: Alonzo Church (1903-1995), A Short Biography alonzo church was born on June 14, 1903 in Washington, D.C. and died Friday, August 11, 1995 in Hudson, Ohio at the age of 92. He was buried in Princeton http://types.bu.edu/alonzo-church.html

Alonzo Church (1903-1995) A Short Biography Alonzo Church was born on June 14, 1903 in Washington, D.C. and died Friday, August 11, 1995 in Hudson, Ohio at the age of 92. He was buried in Princeton Cemetery. Church was professor of mathematics at Princeton University from 1929 to 1967 when he became professor of mathematics and philosophy at UCLA. His work has been greatly influential in the fields of mathematical logic, recursion theory, and theoretical computer science. At the time of his death, Church was widely regarded as the greatest living logician in the world. His most well-remembered contributions are the following: Church's Theorem (1936), showing that arithmetic is undecidable. Church's Thesis, conjecturing that effective computation is equivalent to the notion of a "recursive" function. The Lambda Calculus Autogenerated on Sunday November 23 2003.

13. Alonzo Church Papers The alonzo church Papers consists of the writings, correspondence, notebooks, notes, and subject files of alonzo church (19031995, Princeton Class of 1924) http://libweb.princeton.edu/libraries/firestone/rbsc/aids/church/

Alonzo Church Papers Alonzo Church, 1903-1995 A Finding Aid Prepared by Sylvia Yu and Laura Hildago, Princeton Class of 2006 Manuscripts Division Department of Rare Books and Special Collections Princeton University Library Introduction Biographical Sketch Collection Description Series Descriptions ... Box/Folder Listing Introduction The Alonzo Church Papers consists of the writings, correspondence, notebooks, notes, and subject files of Alonzo Church (1903-1995, Princeton Class of 1924), the renowned mathematical logician who taught at Princeton University from 1929-1967 and the University of California at Los Angeles from 1967 to 1990, and who was editor of the Journal of Symbolic Logic from 1936 to 1979. Range of Collection Dates Size : 35.3 linear feet (83 archival boxes, 1 half-size archival box, 1 small archival box) Language : English Provenance : The family of Alonzo Church (his son, Alonzo Church, Jr., and his two daughters, Mary Ann Addison and Mildred Dandridge) donated his papers to the Princeton University Library in April 2003. Restrictions : None Photocopying, literary rights, and citation

14. Alonzo Church -- Britannica Online Encyclopedia Britannica online encyclopedia article on church, alonzo US mathematician (b. June 14, 1903, Washington, DCd. Aug. 11, 1995, Hudson, Ohio), was a pioneer http://www.britannica.com/eb/article-9112036/Church-Alonzo

document.writeln(''); document.writeln('Initializing application...'); Username Password Remember me Forgot your password? Browse Shop Log In Search Site: Alonzo Church American logician Main Journal of Symbolic Logic, compiling an exhaustive bibliography on logic for its first issue; he remained editor until 1979. He also wrote the textbook Introduction to Mathematical Logic Alonzo Church Link to this article and share the full text with the readers of your Web site or blog-post. If you think a reference to this article on "Alonzo Church" will enhance your Web site, blog-post, or any other web-content, then feel free to link to this article, and your readers will gain full access to the full article, even if they do not subscribe to our service. You may want to use the HTML code fragment provided below. Table of Contents Main Related Links External Web sites Citations ... Audio/Video Adobe Flash version 9 or higher is required to view this content. You can download Flash here: http://www.adobe.com/go/getflashplayer

15. The Mathematics Genealogy Project - Alonzo Church According to our current online database, alonzo church has 32 students and 1917 descendants. We welcome any additional information. http://genealogy.math.ndsu.nodak.edu/id.php?id=8011

16. The Church-Turing Thesis (Stanford Encyclopedia Of Philosophy) There are various equivalent formulations of the churchTuring thesis. church, alonzo computing modern history of mind philosophy of Turing, http://plato.stanford.edu/entries/church-turing/

Cite this entry Search the SEP Advanced Search Tools ... Please Read How You Can Help Keep the Encyclopedia Free The Church-Turing Thesis First published Wed Jan 8, 1997; substantive revision Mon Aug 19, 2002 There are various equivalent formulations of the Church-Turing thesis. A common one is that every effective computation can be carried out by a Turing machine. The Church-Turing thesis is often misunderstood, particularly in recent writing in the philosophy of mind. The Thesis and its History Misunderstandings of the Thesis Some Key Remarks by Turing Bibliography ... Related Entries The Thesis and its History The Church-Turing thesis concerns the notion of an effective or mechanical M is set out in terms of a finite number of exact instructions (each instruction being expressed by means of a finite number of symbols); M will, if carried out without error, produce the desired result in a finite number of steps; M can (in practice or in principle) be carried out by a human being unaided by any machinery save paper and pencil; M demands no insight or ingenuity on the part of the human being carrying it out.

17. The Need For Abstract Entities Philosophical paper by alonzo church. http://www.ditext.com/church/nae.html

The Need for Abstract Entities Alonzo Church Published in the American Academy of Arts and Sciences Proceedings 80 (1951): pp. 100-113. We distinguish between a logistic system and a formalized language on the basis that the former is an abstractly formulated calculus for which no interpretation is fixed, and thus has a syntax and no semantics; but the latter is a logistic system together with an assignment of meanings to its expressions. As primitive basis of a logistic system it suffices to give, in a familiar fashion: The list of primitive symbols or vocabulary of the system (together usually with a classification of the primitive symbols into categories, which will be used in stating the formation rules and rules of inference). The formation rules , determining which finite sequences of primitive symbols are to be well-formed expressions, determining certain categories of well-formed expressions among which we shall assume that at least the category of sentence is included and determining (in case variables are included among the primitive symbols) which occurences of variables in a well-formed expression are free occurences and which are bound occurences.

18. Journal Of Symbolic Logic: Rare First Printings By Church, Turing, And Post FIRST PRINTINGS by alonzo church, Alan Turing, and Emile Post that helped church, alonzo. A note on the Entscheidungsproblem, in Journal of Symbolic http://www.manhattanrarebooks-science.com/church_post_turing.htm

The Manhattan Rare Book Company 1050 Second Ave, Gallery 50E New York, NY 10022 tel: 212.326.8907 fax: 212.355.4403 email: info@manhattanrarebooks.com Science/Technology/Medicine Literature/Modern Firsts Americana/History/Travel ... receive a catalog Landmark volume in computer history CHURCH, ALONZO; TURING, ALAN; POST, EMIL L. -CHURCH: A note on the Entscheidungsproblem; WITH: Correction to A note on the Entscheidungsproblem; WITH: [Review of] A. M. Turing. On computable numbers, with an application to the Entscheidungsproblem -POST: Finite combinatory processes-formulation 1 FIRST PRINTINGS by Alonzo Church, Alan Turing, and Emile Post that helped provide the theoretical foundation for the modern computer. The first two volumes of the influential Journal of Symbolic Logic , containing the first printings of four seminal papers in the history of computers and computer logic: 1) Alonzo Church's solution to the "Halting Problem", proving that an algorithm could not be created to solve every mathematical problem; 2) Church's acknowledgement and analysis of Alan Turing's solution to the same problem; 3) Alan Turing's synthesis of the two methods; 4) Emil Post's conceptual creation of what would become known as "Post's machine", a powerful model for the computer considered to be equal to that of Turing's. In 1936, working independently, Alan Turing in his landmark "On Computable Numbers", and

19. ERRATA VOLUME 28 Page 114 [9] Church, Alonzo, Russell S Theory Of Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?handle=euclid.ndjfl/10

20. EpistemeLinks: Website Results For Philosopher Alonzo Church General website search results for alonzo church including brief biographies, link resources, and more. Provided by EpistemeLinks. http://www.epistemelinks.com/Main/Philosophers.aspx?PhilCode=Chur

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