21. Heyting Biography of arend heyting (18981980) arend heyting s father was Johannesheyting and his mother was Clarissa Kok. Both arend s parents were school http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Heyting.html

Arend Heyting Born: 9 May 1898 in Amsterdam, Netherlands Died: 9 July 1980 in Lugano, Switzerland Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Arend Heyting 's father was Johannes Heyting and his mother was Clarissa Kok. Both Arend's parents were school teachers and Johannes Heyting was particularly successful in his profession being appointed as head of a secondary school. Arend spent his school years with the intention that he would make a career in engineering. Only near the end of his schooling did his love and ability in mathematics mean that the course of his career changed and he went to university to study mathematics. Although Heyting's father was a successful school teacher, the family were still in financial problems when Heyting began his studies in 1916 at the University of Amsterdam. Both Heyting and his father earned the extra money necessary to pay for his studies by taking on private tutoring work. At the University of Amsterdam Heyting was taught by Brouwer who had a large influence on his future work. In 1922 Heyting graduated with a degree of master's standard.

22. Arend Heyting External link. \ arend heyting\ in The MacTutor History of Mathematics Archive This document uses material from the Wikipedia article arend heyting , http://1180911.mallforeverything.com/

Ecyclopedia Home Arend Heyting Common Misspellings for Arend Heyting Arend Heyting May 9 July 9 ) was a Dutch mathematician and logician . He was a student of L. E. J. Brouwer , and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in Amsterdam Netherlands , and died in Lugano Switzerland See also Heyting algebra External link The MacTutor History of Mathematics Archive This biographical article is a stub . You can help Wikipedia by expanding it People stubs Heyting, Arend Heyting, Arend ... Heyting, Arend This document uses material from the Wikipedia article " Arend Heyting ", which is licensed under the GNU Free Documentation License Visit Pharma-Deliveries.com for Medical Supplies This document is licensed under the GNU Free Documentation License (GFDL), which means that you can copy and modify it as long as the entire work (including additions) remains under this license. GFDL SOURCE time to build page: 0.044

23. Neil Tennant heyting, arend. `Die formalen Regeln der intuitionistischen Logik , heyting,arend. `Die intuitionistische Grundlegung der Mathematik , Erkenntnis, vol. http://people.cohums.ohio-state.edu/tennant9/652.html

NEIL W. TENNANT tennant.9@osu.edu If you email me, please use the header PHIL 652: YOURNAME. Professor Department of Philosophy Term 200? PHIL 652: Non-Classical Logics Lecture/seminar Aims of this course. We aim to impart an appreciation of the great variety of non-classical logics, their philosophical motivations, and their proof-theoretic and semantic properties. We shall examine both extensions of classical logic, such as modal logic, and deviant subsystems of classical logic, such as intuitionistic, relevant, and paraconsistent logics. Topics . We shall be covering topics drawn from the following list: The logical systems C (classical), I (intuitionistic), M (minimal), IR (intuitionistic relevant), Anderson-Belnap R (relevant), E (entailment), T, B, K, S4, S5 (modal). Proof-theoretic systems for these logics. Semantical treatments. Relations among systems. Philosophical motivations. Applications. Textbook: Alan Ross Anderson and Nuel D. Belnap, eds., Entailment: The Logic of Relevance and Necessity , Vol. I, Princeton University Press, 1975. Chapter 1.

24. Heyting Algebra - Wikipedia, The Free Encyclopedia heyting algebras as applied to intuitionistic logic. arend heyting (18981980)was himself interested in clarifying the foundational status of http://en.wikipedia.org/wiki/Heyting_algebra

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! Heyting algebra From Wikipedia, the free encyclopedia. In mathematics Heyting algebras are special partially ordered sets that constitute a generalization of Boolean algebras . Heyting algebras arise as models of intuitionistic logic , a logic in which the law of excluded middle does not in general hold. Complete Heyting algebras are a central object of study in pointless topology Contents Formal definitions Properties Examples Heyting algebras as applied to intuitionistic logic ... edit Formal definitions A Heyting algebra H is a bounded lattice such that for all a and b in H there is a greatest element x of H such that . This element is called the relative pseudo-complement of a with respect to b , and is denoted (or An equivalent definition can be given by considering the mappings defined by , for some fixed a in H . A bounded lattice H is a Heyting algebra iff all mappings f a are the lower adjoint of a monotone Galois connection . In this case the respective upper adjoints g a are given by , where is defined as above.

25. Arend Heyting -- Facts, Info, And Encyclopedia Article arend heyting. Categories Mathematicians, 1980 deaths, 1898 births arendheyting (May 9, 1898 – July 9, 1980) was a (The West Germanic language of the http://www.absoluteastronomy.com/encyclopedia/a/ar/arend_heyting.htm

Arend Heyting [Categories: Mathematicians, 1980 deaths, 1898 births] Arend Heyting (The West Germanic language of the Netherlands) Dutch (A person skilled in mathematics) mathematician and (A person skilled at symbolic logic) logician . He was a student of (Click link for more info and facts about L. E. J. Brouwer) L. E. J. Brouwer , and did much to put (Click link for more info and facts about intuitionistic logic) intuitionistic logic on a footing where it could become part of (Any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity) mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in (An industrial center and the nominal capital of the Netherlands; center of the diamond-cutting industry; seat of an important stock exchange; known for its canals and art museum) Amsterdam (A constitutional monarchy in western Europe on the North Sea; achieved independence from Spain in 1579; half the country lies below sea level) Netherlands , and died in (Click link for more info and facts about Lugano) Lugano (A landlocked federal republic in central Europe) Switzerland See also (Click link for more info and facts about Heyting algebra) Heyting algebra External link PrintFooter('Arend_Heyting') Arts Business Health Sports ... Random

26. Heyting Algebra -- Facts, Info, And Encyclopedia Article (Click link for more info and facts about arend heyting) arend heyting (18981980)was himself interested in clarifying the foundational status of http://www.absoluteastronomy.com/encyclopedia/H/He/Heyting_algebra.htm

Heyting algebra [Categories: Order theory] In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics Heyting algebras are special (Click link for more info and facts about partially ordered set) partially ordered set s that constitute a generalization of (A system of symbolic logic devised by George Boole; used in computers) Boolean algebra s. Heyting algebras arise as models of (Click link for more info and facts about intuitionistic logic) intuitionistic logic , a logic in which the (Click link for more info and facts about law of excluded middle) law of excluded middle does not in general hold. (Click link for more info and facts about Complete Heyting algebra) Complete Heyting algebra s are a central object of study in (Click link for more info and facts about pointless topology) pointless topology Formal definitions A Heyting algebra H is a (Click link for more info and facts about bounded lattice) bounded lattice such that for all a and b in H there is a greatest element x of H such that This element is called the relative pseudo-complement of a with respect to b , and is denoted (or ).

27. The Mathematics Genealogy Project - Arend Heyting According to our current online database, arend heyting has 8 students and 114descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=45623

28. The Mathematics Genealogy Project - Update Data For Arend Heyting If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=45623

29. Read About Arend Heyting At WorldVillage Encyclopedia. Research Arend Heyting An arend heyting. Everything you wanted to know about arend heyting but had no cluehow to find it.. Learn about arend heyting here! http://encyclopedia.worldvillage.com/s/b/Arend_Heyting

Culture Geography History Life ... WorldVillage Arend Heyting From Wikipedia, the free encyclopedia. Arend Heyting May 9 July 9 ) was a Dutch mathematician and logician . He was a student of L. E. J. Brouwer , and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in Amsterdam Netherlands , and died in Lugano Switzerland edit See also Heyting algebra edit External link Biography http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Heyting.html at the MacTutor archive biographical article is a stub . You can help Smartpedia by expanding it http://en.wikipedia.orghttp://encyclopedia.worldvillage.com/s/b/Arend_Heyting Retrieved from " http://en.wikipedia.org/s/b/Arend_Heyting Categories People stubs 1898 births ... Mathematicians This document is licensed under the GNU Free Documentation License (GFDL), which means that you can copy and modify it as long as the entire work (including additions) remains under this license. GFDL SOURCE Read our

30. Math Lessons - Arend Heyting Math Lessons arend heyting. See also. heyting algebra. External link.Categories 1898 births 1980 deaths Mathematicians http://www.mathdaily.com/lessons/Arend_Heyting

Search Mathematics Encyclopedia and Lessons Lessons Popular Subjects algebra arithmetic calculus equations ... more References applied mathematics mathematical games mathematicians more ... Mathematicians Arend Heyting Arend Heyting May 9 July 9 ) was a Dutch mathematician and logician . He was a student of L. E. J. Brouwer , and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in Amsterdam Netherlands , and died in Lugano Switzerland See also Heyting algebra External link Categories 1898 births 1980 deaths Mathematicians Last updated: 09-01-2005 18:44:22 algebra arithmetic calculus equations ... mathematicians

31. Biografia De Heyting, Arend Translate this page heyting, arend. (Amsterdam, 1898-Lugano, 1980) Matemático neerlandés. Profesor enla Universidad de Amsterdam, se especializó en lógica matemática. http://www.biografiasyvidas.com/biografia/h/heyting.htm

Inicio Buscador Las figuras clave de la historia Reportajes Los protagonistas de la actualidad Heyting, Arend (Amsterdam, 1898-Lugano, 1980) Matemático neerlandés. Profesor en la Universidad de Amsterdam, se especializó en lógica matemática. Estableció, junto con L.E.J. Brouwer, la teoría institucionalista, que rechaza el método axiomático y se orienta hacia las demostraciones de tipo intuicionista. Inicio Buscador Recomendar sitio

32. Arend Heyting Biography .ms External link. See also. Phrases and Sayings arend heyting in The MacTutorHistory of Mathematics Archive A B C D E F G H I J K http://arend-heyting.biography.ms/

Arend Heyting Arend Heyting May 9 July 9 ) was a Dutch mathematician and logician . He was a student of L. E. J. Brouwer , and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in Amsterdam Netherlands , and died in Lugano Switzerland See also Heyting algebra External link See also Phrases and Sayings "Arend Heyting" in The MacTutor History of Mathematics Archive A ... Home page

33. Articles - Arend Heyting under the terms of the GNU Free Documentation License Source Original textfrom the article in Wikipedia, The Free Encyclopedia arend heyting. http://www.totalorange.com/articles/Arend_Heyting

Educational Games Math Games Geography Games Arend Heyting May 9 July 9 ) was a Dutch mathematician and logician . He was a student of L. E. J. Brouwer , and did much to put intuitionistic logic on a footing where it could become part of mathematical logic (which in a definite sense ran counter to some of the initial intentions of its founder). He was born in Amsterdam Netherlands , and died in Lugano Switzerland All text is available under the terms of the GNU Free Documentation License Source: Original text from the article in Wikipedia, The Free Encyclopedia: Arend Heyting Advertisement: Movie Posters Lose Weight Intellifax Fax Machines Tapety GSM ... Chicago Judo

34. List Of Scientists By Field Translate this page heyting, arend. heyting, arend. Hiärne, Urban. Hiärne, Urban. Hiärne, Urban.Hicetas of Syracuse. Higgins, Bryan. Higgins, William. Highmore, Nathaniel http://www.indiana.edu/~newdsb/h.html

Haak, Theodore Haas, Arthur Erich Haas, Arthur Erich Haas, Wander Johannes de Haast, Johann Franz Julius von Haber, Fritz Haberlandt, Gottlieb Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hachette, Jean Nicolas Pierre Hadamard, Jacques Hadfield, Robert Abbott Hadfield, Robert Abbott Hadley, John Hadley, John Hadorn, Ernst Haeckel, Ernst Heinrich Philipp August Haffkine, Waldemar Mordecai Wolfe Hague, Arnold Hahn, Otto Hahn, Otto Hahnemann, Christian Friedrich Samuel Hahnemann, Christian Friedrich Samuel Haidinger, Wilhelm Karl Hakluyt, Richard Hakluyt, Richard Haldane, John Burdon Sanderson Haldane, John Burdon Sanderson Haldane, John Scott Haldane, Richard Burdon Hale, George Ellery Hale, William Hales, Stephen Hales, Stephen Hall, Asaph Hall, Charles Martin Hall, Edwin Herbert Hall, Granville Stanley Hall, Granville Stanley Hall, James Hall, James Hall, Marshall Hall, Marshall Hall, Sir James Hall, Sir James Haller, Albrecht von Haller, Albrecht von Haller, Albrecht von Halley, Edmond Halley, Edmond Halley, Edmond Halliburton, William Dobinson Halliburton, William Dobinson

35. Philosophy And Religion heyting, arend. Ibn Hibinta. Hippias of Elis. Hobbes, Thomas. HoënéWronski,Józef Maria. Holbach, Paul Henri Thiry. Hume, David http://www.indiana.edu/~newdsb/phil.html

Philosophy and Religion Abailard, Pierre Abano, Pietro d' Adanson, Michel Agol, Izrail' Iosifovich Agrippa, Heinrich Cornelius von Ailly, Pierre d' Alain de Lille, Alanus de Albert of Saxony Alcmaeon of Crotona Alexander of Aphrodisias Alsted, Johann Heinrich Ames, William Ammonius, Son of Hermias Anatolius of Alexandria Anaxagoras Anaximander Anaximenes of Miletus Andreae, Johann Valentin Apelt, Ernst Friedrich Aquinas, Saint Thomas Archytas of Tarentum Argoli, Andrea Augustine of Hippo, Saint, Aurelius Bachelard, Gaston Bacon, Francis Bacon, Roger Bain, Alexander Baranzano, Giovanni Antonio Bartholin, Caspar Basso, Sebastian Bede, the Venerable Bellarmine, Robert Bergson, Henri-Louis Berkeley, George Bernard of Chartres, Bernardus Bernard of Le Treille Bernard Silvestre, Bernard de Bickerton, Alexander William Bisterfeld, Johann Heinrich Blasius of Parma Boehme, Jacob Boethius, Anicius Manlius Severinus Bogdanov, Aleksandr Aleksandrovich Bohr, Niels Henrik David Bolzano, Bernard Bonnet, Charles Borro, Girolamo Boullanger, Nicolas-Antoine Bourguet, Louis

36. Godel 3 Project for Ergebnisse , A proposed joint book with arend heyting (see 1932f Review of arend heyting 1931, Galley with autograph corrections 1932 http://libweb.princeton.edu/libraries/firestone/rbsc/aids/godel/godel3.html

IV. Drafts and Offprints Box/Folder AMs Notebook (in Gabelsberger shorthand) labelled "Diss. unrein," written both directions [1929?] TMs [carbon] (in German) labelled "Dissertation," with autograph corrections, 34 pp. [1929?] TMs (in German), labelled "Vollstandigkeit d. Axiome" with autograph corrections, 20 pp. [1930?] Printed page proof with autograph corrections [1930?] Offprint 1930 Galley with autograph annotations [1930] TMs (in German) with autograph corrections, pp. 10 [1930] AC describing contents of original file n.d. Erkenntnis 2 TMs [carbon] of discussion (in German) with autograph corrections, p. 23 ca.1930 TMs of Nachtrag ("Supplement"), with autograph corrections, 3 pp., back labelled "Erkenntnis" [1931?] TMs of Nachtrag with autograph corrections, p. 3 Offprint with autograph annotations [1931] Copy of Erkenntnis 2 with autograph annotations 1931 Undecidability Results (early drafts of AMs (in Gabelsberger shorthand) in 2 Notebooks, one inserted in the other, labelled "Unentsch. unrein," written both directions [1930?] AMs Notebook (in Gabelsberger shorthand), labelled "Unentsch. unrein," written both directions [1930?]

37. Godel 1 32, Zentralblatt für Mathematik (re Gödel/arend heyting Collaboration) 19311935.33, Miscellaneous, including collected works solicitations, 1930-1978 http://libweb.princeton.edu/libraries/firestone/rbsc/aids/godel/godel1.html

I. Personal and Scientific Correspondence, 1929-1978 Box/Folder Addison, John Miscellaneous "A" Behman, Heinrich Bernays, Paul: [See also Series XIII: Folders 6 and 7] Boone, William: January-May, 1958 June-August, 1958 n.d. Brutian, George A. Burks, Arthur Miscellaneous "B": T. R. Bachiller to Errett Bishop Max Black to Terrell Ward Bynum Carnap, Rudolf [See also Series XIV: Folder 1] Chang, C. C. Chomsky, Noam Chuaqui Kettlun, Rolando B. 1969-1972, n.d. Church, Alonzo Cohen, Paul J.: April 24-July 17, 1963 July 20-September 27, 1963 October 4-December 13, 1963 Miscellaneous "C": Ronald Calinger to D. V. Choodnovsky Jeffrey Cohen to Haskell B. Curry Davis, Martin: 1965, n.d. Dreben, Burton S. Miscellaneous "D" [Einstein, Albert: see Miscellaneous "E"] Ellentuck, Erik: Miscellaneous "E" Feferman, Solomon: Feigl, Herbert: Fisher, Edward R., Jr. Flexner, Abraham Ford, Lester R. (re: Friedburg, Robert Friedman, Harvey: Miscellaneous "F" Gandy, R. O. Grandjean, Burke 1957-1961, includes undated notes Miscellaneous "G" Halpern, James, includes discussion notes Hasenjaeger, G.

38. References heyting 30 arend heyting. Die formalen Regeln der intuitionistischen Logik.Sitzungsber. heyting 56 arend heyting. Intuitionism An Introduction. http://www.cs.cornell.edu/Info/Projects/NuPrl/book/node249.html

Next: Index Up: No Title Previous: Appendix C: Direct References Aczel 77 Peter Aczel. An introduction to inductive definitions. In Handbook of Mathematical Logic , J. Barwise, ed. NorthHolland, Amsterdam, 1977, pages 739782. Aczel 78 Peter Aczel. The type theoretic interpretation of constructive set theory. In Logic Colloquium '77 A. MacIntyre, L. Pacholaki, and J. Paris, eds. NorthHolland, Amsterdam, 1978, pages 5566. Alfred V. Aho and J. E. Hopcroft and J. D. Ullman. The Design and Analysis of Computer Algorithms AddisonWesley, Reading, MA, 1974. L. Aiello, M. Aiello, and R. W. Weyhrauch. Pascal in LCF: semantics and examples of proof. Theoretical Computer Science , v. 5, n. 2 (1977) pages 135178. Allen 86 Stuart F. Allen. The Semantics of Type Theoretic Languages. Doctoral Dissertation, Computer Science Department, Cornell University, August 1986 (expected). John M. Anderson and Henry W. Johnstone. Natural Deduction Wadsworth, Belmont, CA, 1962. Andrews 65 P. B. Andrews. Transfinite Type Theory with Transfinite Type Variables. NorthHolland, Amsterdam, 1965.

39. Formalized Mathematics (AutoMath) Hilbert s program was so bold and promising that it even won over Brouwer sdisciple, arend heyting, who saw it as a way to reconcile classical and http://www.cs.cornell.edu/Info/Projects/NuPrl/Intro/FormalMath/formalmath.html

Formalized Mathematics (AutoMath) The Nuprl Library is a repository for the definitions, theorems and proof procedures of formal mathematics. It is one of a handful of systems worldwide that is creating a new digital artifact of great significance. This section looks at the history of this aspect of our work. It is a view of the history of logic from a modern vantage point which recognizes that a new discipline has been created by the past efforts of logicians, applied logicians and computer scientists. Frege, Hilbert and Post The first truly formal mathematical text is Frege's Begriffsschrift (ideography), completed in 1879. As Martin Davis said about it: Begriffsschrift is not only the direct ancestor of contemporary systems of mathematical logic, but also the ancestor of all formal languages including computer programming languages. Citation. Frege's reason for creating this "ideography" or "concept script" is essentially the reason behind creating formal verification systems; that is, he wanted to leave no gaps in his reasoning. He said, Its first purpose, therefore, is to provide us with the most reliable test of the validity of a chain of inferences and to point out every pre-supposition that tries to sneak in unnoticed, so that its origin can be investigated.

40. Intuitionistic Logic: Information From Answers.com A model theory can be given by heyting algebras or, equivalently, arend heyting William Alvin Howard classical logic game semantics http://www.answers.com/topic/intuitionistic-logic

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping intuitionistic logic Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); intuitionistic logic Intuitionistic logic , or constructivist logic , is the logic used in mathematical intuitionism and other forms of mathematical constructivism Roughly speaking, "intuitionism" holds that logic and mathematics are "constructive" mental activities. That is, they are not analytic activities wherein deep properties of existence are revealed and applied. Instead, logic and mathematics are the application of internally consistent methods to realize more complex mental constructs (really, a kind of game). In a stricter sense, intuitionistic logic can be investigated as a very concrete and formal kind of mathematical logic . While it may be argued whether such a formal calculus really captures the philosophical aspects of intuitionism, it has properties which are also quite useful from a practical point of view.

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

Page 2     21-40 of 85    Back | 1  | 2  | 3  | 4  | 5  | Next 20