21. Lebensdaten Von Mathematikern Translate this page 1871) Herstein, Israel (1923 - 1988) Hesse, Ludwig Otto (22.4.1811 - 4.8.1874) vanHeuraet, Hendrik (1633 - 1660) heyting, arend (1898 - 1980) Hilbert, David http://www.mathe.tu-freiberg.de/~hebisch/cafe/lebensdaten.html

Diese Seite ist dem Andenken meines Vaters Otto Hebisch (1917 - 1998) gewidmet. By our fathers and their fathers in some old and distant town from places no one here remembers come the things we've handed down. Marc Cohn Dies ist eine Sammlung, die aus verschiedenen Quellen stammt, u. a. aus Jean Dieudonne, Geschichte der Mathematik, 1700 - 1900, VEB Deutscher Verlag der Wissenschaften, Berlin 1985. Helmut Gericke, Mathematik in Antike und Orient - Mathematik im Abendland, Fourier Verlag, Wiesbaden 1992. Otto Toeplitz, Die Entwicklung der Infinitesimalrechnung, Springer, Berlin 1949. MacTutor History of Mathematics archive A B C ... Z Abbe, Ernst (1840 - 1909) Abel, Niels Henrik (5.8.1802 - 6.4.1829) Abraham bar Hiyya (1070 - 1130) Abraham, Max (1875 - 1922) Abu Kamil, Shuja (um 850 - um 930) Abu'l-Wafa al'Buzjani (940 - 998) Ackermann, Wilhelm (1896 - 1962) Adams, John Couch (5.6.1819 - 21.1.1892) Adams, John Frank (5.11.1930 - 7.1.1989) Adelard von Bath (1075 - 1160) Adler, August (1863 - 1923) Adrain, Robert (1775 - 1843)

22. Neil Tennant Reading (on Reserve in Department) 1930. heyting, arend. 1931. heyting, arend.`Die intuitionistische Grundlegung der Mathematik , Erkenntnis, vol. 2, pp. 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.

23. References For Heyting References for arend heyting. Articles J Alcolea Banegas, arend heyting (Spanish),Mathesis (México) 4 (2) (1988), 189220. arend heyting (Dutch), Nederl. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/~DZE018.htm

References for Arend Heyting Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: J Alcolea Banegas, Arend Heyting (Spanish), Arend Heyting (Dutch), Nederl. Akad. Wetensch. Verslag Afd. Natuurk. B A Kushner, Arend Heyting: a short sketch of his life and work (Russian), Methodological analysis of the foundations of mathematics 'Nauka' (Moscow, 1988), 121-135. A S Troelstra, Arend Heyting and his Contribution to Intuitionism, Nieuw archief voor wiskunde A S Troelstra, The scientific work of A Heyting, Compositio Math. Close this window or click this link to go back to Heyting Welcome page Biographies Index History Topics Index Famous curves index ... Search Suggestions JOC/EFR December 1996 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Heyting.html

24. Heijting L AS Troelstra, arend heyting and his contribution to intuitionism , in NieuwArchief voor Wiskunde 3e serie 29 (1981) 1 23; idem, Logic in the writings http://www.inghist.nl/Onderzoek/Projecten/BWN/lemmata/bwn3/heijting

HOME REACTIE SITEMAP HULP ... VERWIJZINGEN PROJECTMENU Home nieuwe biografieën log in Biografie van Heijting, Arend Onderzoek Projecten Biografisch Woordenboek van Nederland heijting Biografisch Woordenboek van Nederland . URL:http://www.inghist.nl/Onderzoek/Projecten/BWN/lemmata/bwn3/heijting [05-09-2003] HEIJTING, Arend (1898-1980) Heijting, Arend Na in 1922 cum laude het doctoraal examen te hebben afgelegd werd hij leraar aan het Gemeentelijk Lyceum te Enschede, waar hij o.a. wiskunde gaf. Daarnaast werkte hij aan zijn proefschrift, Die formalen Regeln der intuitionistischen Logik en Die formalen Regeln der intuitionistischen Mathematik Mathematische Grundlagenforschung. Intuitionismus. Beweistheorie, bedoeld als bondig overzicht, verscheen in 1934, maar zou later in 1955 een bewerkte vertaling in het Frans beleven en in 1974 een Duitse tweede druk. In 1948 volgde Heyting zijn leermeester Mannoury op als gewoon hoogleraar in de wiskunde, en als zodanig trad hij nu ook op andere wijze naar voren, ofschoon hij als wetenschapsman uiteraard eveneens werkzaam bleef. Op wetenschappelijk gebied moet vooral genoemd worden de publikatie in 1956 van zijn zeer invloedrijke Intuitionism. An introduction

25. Sobre El Axioma X De Heyting Translate this page preguntarse cómo en un sistema intuicionista llega a tener la dignidadde un axioma. En la formalización que presenta arend heyting. http://galileo.fcien.edu.uy/sobre_el_axioma_x_de_heyting.htm

SOBRE EL AXIOMA X DE HEYTING Robert Calabria La ley de Scoto o ex falso quodlibet , esto es ØA®(A®B) fue considerada desde siempre una paradoja para la Lógica Clásica al menos en el débil sentido de “resultado chocante”; así que uno no puede menos de preguntarse cómo en un sistema intuicionista llega a tener la dignidad de un axioma. En la formalización que presenta Arend Heyting para la lógica intuicionista esta expresión corresponde al axioma X . Ciertamente, el mismo Heyting se siente obligado a dar una especie de justificación del mismo-y, como anota Susan Haack en , p.109, es significativo que considerara que sólo este axioma requiriese justificación-, ofreciéndola en , p.102, como sigue: Axiom X may not seem intuitively clear. As a matter of fact, it adds to the precision of the definition of implication. You remember that A®B can be asserted if and only if we possess a construction which , joined to the construction A , would prove B Now suppose that A that is, we have deduced a contradiction from the supposition that

26. À§´ëÇѼöÇÐÀÚ ¸ñ·Ï Born 1633 in Haarlem, Netherlands Died 1660 in (probably) Leiden, Netherlands heyting,arend heyting Born 9 May 1898 in Amsterdam, Netherlands Died 9 July http://www.mathnet.or.kr/API/?MIval=people_seek_great&init=H

27. AAC Database - Browse - List 1, Heytesbury, William, fl. 1240. 1, Heythrop College (University of London).2, heyting, A. 2, heyting, arend See heyting, A. 1, Heyvaert, Alain. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/SCAN-F/0139520

Sourasky Central Library Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Heyns, Christof See: Heyns, C. H. Heyob, Sharon Kelly Heyrman, Christine Leigh Heyse, Herbert Riehl- See: Riehl-Heyse, Herbert Heyse, Max Heyse, Paul, 1830-1914 Heyse, Paul Johann Ludwig von, 1830-1914 See: Heyse, Paul,1830-1914 Heytesbury, William, fl. 1240 Heythrop College (University of London) Heyting, A. Heyting, Arend See: Heyting, A. Heyvaert, Alain

28. Bio-/Biblio-graphical Details Of Authors Whose Names Start With H H. Hesse Siddharta , New directions, New York, 1951, p. 83; Ibid.p. 17. Ibid., p. 110; Ibid., p. 17. heyting, arend. REF A heyting http://mpec.sc.mahidol.ac.th/preedeeporn/AuthorsH.HTM

Bio -/Biblio-graphical data of authors whose names start with H Haber, Wolfgang REF: UNIVERSITAS , Vol. 26, No. 2, June 1984,p. 88. Hackett,Sir John REF: ASIA , Vol. 25, No. A-13, 23/03/1986, p. 4, contributed by Ritche Fernandez, Malysia. Hadamard, Jacques -French mathematician REF: Freeman J. Dyson: "Missed Opportunities", MATHBULLETIN ,Vol. 78, 5, 1972, pp. 635 - 652. KLINEMATHS , p. 3. Hahn, Hans -Austrian mathematician REF; H. Hahn: "Logik, Mathematik und Naturerkennen", Einheitswissenschaft, Heft II, pp. 18; A,J. Ayer: "Language, Truth and Logic", GOLLANCZ PENGUIN , 1971, p. 114. Haldane, John Burdon Sanderson -British biologist REF: J.B.S. Haldane: "Possible Worlds", 1927; STABLEFORDMYSTERIES , p. 13 Part I: "The Surrealist Cosmos". Ibid.; BARTLETT , p. 821, No. 5. BURGESS , p. 230 'Universe'. Hale, Nathan American Revolutionary War hero * 06/06/1755 Coventry, Conn. + 22/09/1776 New York, USA REF: ? Halevy, Elie REF: BURGESS , p. 214 'Socialism'. Halley, Edmund English astronomer * 29/10/1136 Haggerston London + 14/01/1742 buried in old graveyard of St. Margaret's Church, Lee, Kent REF: ?

29. Abdu L Baha Hess, Harry Hammond Hesse, Hermann heyting, arend Hilbert, David Hill, Thomas Hillary,Sir Edmund Hinshelwood, Sir Cyril Norman Hippocrates Hirsch, Morris W. http://mpec.sc.mahidol.ac.th/preedeeporn/Authrsaz.HTM

Abdu'l Baha Abelard, Peter Abelson, P.H. Acheson, Dean Gooderham Abdu'l Baha Abelard, Peter Abelson, P.H. Acheson, Dean Gooderham ... Zukay, Gary

30. Re: Philosophy Of Math, Good Surveys? [was: Aspects Of The History Of Proofs.1/4 Its subtitle says it all about Taking God out of Mathematics and Puttingthe Body back in. heyting, arend (18981980) Intuitionism. http://mathforum.org/epigone/math-history-list/shercrenflon

Re: philosophy of math, good surveys? [was: Aspects of the history of proofs.1/4] by Antreas P. Hatzipolakis reply to this message post a message on a new topic Back to math-history-list Subject: Re: philosophy of math, good surveys? [was: Aspects of the history of proofs.1/4] Author: xpolakis@hol.gr Date: http://users.hol.gr/~xpolakis/ The Math Forum

31. Re: Philosophy Of Math, Good Surveys? [was: Aspects Of Thehistory Of Proofs. 1/4 It also has an excellent bibliography. heyting, arend (18981980) Intuitionism.An introduction , 3d rev. ed. Amsterdam, North-Holland Pub. http://mathforum.org/epigone/math-history-list/pralswoxblal

Re: philosophy of math, good surveys? [was: Aspects of thehistory of proofs. 1/4] by Julio Gonzalez Cabillon reply to this message post a message on a new topic Back to math-history-list Subject: Re: philosophy of math, good surveys? [was: Aspects of thehistory of proofs. 1/4] Author: jgc@mail.adinet.com.uy Date: The Math Forum

32. References heyting 30 arend heyting. Die formalen Regeln der intuitionistischen Logik. Sitzungsber.Preuss. Akad. 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.

33. CS 486: Applied Logic arend heyting showed that these propositions form the core of firstorder logicand arithmetic, and that Peano arithmetic (PA) can be factored into heyting http://www.cs.cornell.edu/Courses/cs486/1999sp/Summary/summary.html

CS 486: Applied Logic Spring 1999 Summary of the Course Major Topics Propositional Calculi (Classical and Intuitionistic) - Smullyan book Analytic tableau Completeness and decidability Gentzen Systems/Sequents/Refinement Logics Formal proof of decidability Proof expressions Second-order propositional logic, system F Predicate Calculi (Classical and Intuitionistic) - Smullyan book Specification Language Completeness and Compactness Theorems Fundamental Theorem Church's Theorem Formal Number Theory (Peano Arithmetic (PA) and Heyting Arithmetic (HA)) : Suppes book Set Theory (ZF and IZF) : Suppes book Typed and Higher Order Logics (Type Theory and Class Theory) : Lecture Notes and Nuprl web page Programming Logics : Lecture Notes : Handout Special topics as possible Background Logic is concerned with propositions and proofs , just as number theory is concerned with natural numbers and operations on numbers. A proposition is an abstract mathematical object corresponding to a declarative sentence. We speak of the sense of a proposition and of its truth value . The thought expressed by a proposition is its sense, and whether the proposition is true is expressed by its truth value.

34. Encyclopædia Britannica Heyse, Paul Johann Ludwig von (Ger. writ.), Heysel Stadium (stadium, Brussels,Belg.), heyting, arend (Du. math.), Heyward, Dorothy (Am. writ.), http://www.britannica.com/eb/index?seq=145100&alphakey=h&pageDir=p

35. MathComp Database - Browse - List 8, heyting, A. (arend), 1898. 8, heyting, arend, 1898- See $$aheyting,A.$$q(arend),$$d1898-. 4, Heywood, JG (John Groves), 1940-. 1, Heywood,TR. http://ram0.huji.ac.il/ALEPH/ENG/JSL/JMC/JMC/SCAN-R/0471520

MathComp database - Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Heyting, A. (Arend), 1898- Heyting, Arend, 1898- See: $$aHeyting, A.$$q(Arend),$$d1898- Heywood, J. G. (John Groves), 1940- Heywood, T. R. Hiai, Fumio, 1948- Hibi, Takayuki Hicks, Noel J. Hida, Haruzo Hida, Takeyuki, 1927- Hieber, Matthias, 1959- Higgins, J. R. (John Rowland), 1935- Higgins, John C.

36. BIBLIOGRAPHY heyting, arend. “The Intuitionist Foundations of Mathematics” In Philosophyof Mathematics. Eds. Paul Benacerraf and Hillary Putnam. http://www.bdoghouse.com/Thesis/BIBLIO.html

BIBLIOGRAPHY Agassi, Joseph. “Leibniz's Place in the History of Physics.” Journal of the History of Ideas Alexander, Samuel. “Spinoza and Time.” In Studies in Spinoza: Critical and Interpretive Essays . Ed. S. Paul Kashap. Berkeley: University of California Press, 1972. Aristotle. Categorieae, De Interpretatione, Analytica Priora, Analytica Posteriora, Physica, De Caelo, and Metaphysica In The Basic Works of Aristotle Ed. Richard McKeon. New York: Random House, 1941. Benacerraf, Paul and Hilary Putnam, eds. Philosophy of Mathematics. Englewood Cliffs, N.J.: Prentice-Hall, 1964. Bennett, Jonathan. Kant's Analytic. Cambridge: Cambridge University Press, 1966. A Study of Spinoza's Ethics. Indianapolis: Hackett Publishing Co., 1984. Berkeley, George. A Treatise Concerning the Principles of Human Knowledge . LaSalle, Ill.: Open Court, 1963. Berkson, William. Fields of Force: The Development of a World View from Faraday to Einstein. New York: Bernoulli, Daniel. Hydrodynamica Trans. Thomas Carmody and Helmut Kobus. New York: Dover, 1968. Bohm, David.

37. Yogan Schrieb über Philosoph Translate this page Johann Gottfried Hermarchos Herschel, John Frederick Herzen, Alexandr IwanowitschHeydenreich, Karl Heinrich Heymans, Gerard heyting, arend Hieronymos aus http://www.a-blast.de/blast/Philosoph.html

NEU: Info zum Stichwort Philosoph diskutieren Link erzeugen Philosoph ... insgesamt uneffektievere; ist ist darauf aus ... und anzuhäufen. Die Philosophie ist Mutter ... dieser ersten Art geworden denn heute ... einen Allgemeinüberblick über die Wissenschaften die ... bekommen erweist sich als sehr schwierig ... totale Spezialisierung und Analyse beherrscht( e den Westen Die ... Wissen Ausschau gehalten wird sondern auf die ... im alltäglichen Leben Diese Art ist ... Fall lohnenswerter, allerdings auch schwieriger denn ... auf neuerworbenes Wissen mit welchem sie im Grunde nichts ... ums Existenziellste, um Astrologie Astronomie Psychologie ... Philosophie befasst sich ausschließlich mit dem ... den darinnigen Gedankengebäuden und wie unterbewußte Symptome geheilt werden können Letztendlich aber ... irgendwie vereinigt werden die ganze Fragerei und routinemäßige Beterei muß vermischt und in Einklang gebracht ... werden . Derselbe Mensch muß die Frage ... finden User-Bewertung: Dein Name: Philosoph Konfiguration Web-Blaster Statistik Hilfe ... Startseite

38. Aa, Personal , Ahmet Kaya ,Þebnem Ferah , Göksel , Ebru Gündeþ 2275) Herschel, Caroline (1760*) Herschel, John (2821*) Herstein, Yitz (295*)Hesse, Otto (165*) Heuraet, Hendrik van (170) heyting, arend (1101*) Higman http://www.newturk.net/index111.html

English Turkish German French ... Spanish Top20 Free 1. Sexy toplist 3. Hitboss 4. Top20 Free 6. Webservis 7. ErciToplist 8. Sorf Toplist DO YOU WANT TO GET A FREE ALBUM Than click here. This is the easiest and free way. Create your own digital foto album. Click here and download it free. FLIPALBUM creates wicked 3D page-flipping photo album instantly and automatically. ALL FUN! NO HASSLE! Get your FREE TRIAL DOWNLOAD! HOVERFLY-2 INDOOR HELICOPTER Hoverfly is a great little helicopter. It comes attractively finished and ready to fly. It’s small, tough and quiet - and it flies indoors. Yet it handles just like its bigger brothers. You have a web site and you want to earn money, then click here. We recommend you the Otherlandtoys.co.uk, Commission Junction Program WWW Google Altavista document.write(""); document.write(""); document.write(""); document.write(""); var isjs=0, site=665, icon=3; var id = 100 document.write(""); var isjs=0, site=1780, icon=1; Search Web Auctions Forums Jobs for Free Mail UK Banner X Rate this site at CMATHER.COM Top 100! 10- Best 1- Worst Rate this site!

39. Schets2 weer zal worden geregisseerd door Hetty heyting. programma gespeeld en pas in meispelen we de eerste werkvoorstellingen) hebben zowel arend, Erik, Maarten http://www.nietschieten.nl/frameset/nieuws.html

NIEUWS Niet Schieten! De nieuwe DVD van Niet Schieten is uit! In de betere platenzaak is vanaf 1 februari de DVD KWAAD BLOED van Niet Schieten! verkrijgbaar. De DvD is tevens te krijgen via: www.theaterboekwinkel.nl . De verwachtte verkoopprijs zal ongeveer 21 euro zijn. Er staat naast het programma nog een zeer exclusieve regietrack op. Niet Schieten! gaat met Hetty Heyting Het ziet er naar uit dat het nieuwe programma van NS! weer zal worden geregisseerd door Hetty Heyting. Hoewel het nog wel even zal duren voordat er een nieuw programma zal staan (Tot en met januari 2004 wordt het Jubileum programma gespeeld en pas in mei spelen we de eerste werkvoorstellingen) hebben zowel Arend, Erik, Maarten alsook Hetty er erg veel zin in om weer iets moois neer te zetten komend seizoen. Niet Schieten! geselecteerd voor het Nederlands elftal. De mannen zijn geselecteerd (en hebben inmiddels gespeeld) voor het Nederlands voetbal elftal. Ze kwamen in hen debuut uit tegen de Nationale selctie van Thailand. De wedstrijd vond plaats in het zonovergoten en idillische oliestaatje Brunei (Verre Oosten). Bij een temperatuur van 36 graden en een vochtigheids percentage van 94% wisten de heren iederen (incl. zichzelf) te verrassen met hun voetbalkwaliteiten. Er werd niet alleen gewonnen met 3-1 er werd zelfs gescoord door een van de heren.

40. CONFERENCES, SUMMER SCHOOLS, TALKS, WORKSHOPS [1] Eindhoven 23 FOR PARTICIPATION 5 Amsterdam (The Netherlands) 1426 September 1998 arend heytingCentenary PROGRAM heyting Lectures, heyting Symposium, Thematic Day 6 http://colibri.let.uu.nl/html/html.24-1998/logic.html

CONFERENCES, SUMMER SCHOOLS, TALKS, WORKSHOPS Eindhoven 23 June 1998 ZIC Colloquium on Logic and Theoretical Computer Science dr. ir. Hans de Nivelle: "Implementation of a resolution theorem prover" Montpellier (France) 10-12 August 1998 ICCS'98 6th International Conference on Conceptual Structures CALL FOR PARTICIPATION Saarbruecken (Germany) 14-16 August 1998 FHCG-98 Joint Conference on Formal Grammar, Head-driven Phrase Structure Grammar and Categorial Grammar PROGRAM Freiburg (Germany) 7-9 September 1998 LD'98 The First International Workshop on Labelled Deduction http://www.informatik.uni-freiburg.de/~ld98 CALL FOR PARTICIPATION Amsterdam (The Netherlands) 14-26 September 1998 Arend Heyting Centenary PROGRAM: Heyting Lectures, Heyting Symposium, Thematic Day Prague (Czech Republic) 9-20 November 1998 Vilem Mathesius Lecture Series 13 SECOND CALL FOR PARTICIPATION Grenoble (France) 14-16 December 1998 LACL98 Logical Aspects of Computational Linguistics SECOND CALL FOR PAPERS Deadline: 31 July 1998 Vienna (Austria) 17-19 February 1999 CIMCA'99 Conference on Computational Intelligence for Modelling, Control and Automation http://www-gscit.fcit.monash.edu.au/conferences/cimca99 CALL FOR PAPERS Deadline: 14 August 1998

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