1. Gentzen Gerhard Gentzen. Born 24 Nov Gerhard Gentzen s father was a lawyerwho practiced law in Bergen on the Isle of Rügen. It was there http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Gentzen.html

Gerhard Gentzen Born: 24 Nov 1909 in Greifswald, Germany Died: 4 Aug 1945 in Prague, Czechoslovakia Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gerhard Gentzen Gymnasium in Stralsund. Certainly moving schools did not affect Gentzen's academic achievements for when he received his Abitur in 1928 it was with distinction and he was ranked top in his school. In [6] Robbel describes the intellectual world of the young Gentzen in particular examining the influences on him of his grandparents (especially A Bilharz) and his parents. The results of his 1928 Reifeprufung examination are given in an appendix to [6]. The headmaster of the Humanistische Gymnasium was certainly impressed with the results and, recognising his exceptional mathematical abilities, awarded him a university scholarship. Weyl for his doctorate on the foundations of mathematics. He was taught by Bernays Courant Hilbert Kneser ... Edmund Landau and, of course, his supervisor Weyl Hilbert 's assistant in 1934. M E Szabo writes in [2]:-

2. Poster Of Gentzen Gerhard Gentzen. lived from 1909 to 1945. Gentzen invented a naturaldeduction which provided a logic closer to mathematical reasoning http://www-gap.dcs.st-and.ac.uk/~history/Posters2/Gentzen.html

Gerhard Gentzen lived from 1909 to 1945 Gentzen invented a 'natural deduction' which provided a logic closer to mathematical reasoning than the systems proposed by Frege, Russell and Hilbert. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Gentzen.html

3. Gerhard Gentzen - Wikipedia Zaloguj mnie Pomoc. Gerhard Gentzen. Z Wikipedii, wolnej encyklopedii. Gerhard Gentzen ( 24 listopada1909 4 sierpnia1945) - niemiecki matematyk, zasuony w http://pl.wikipedia.org/wiki/Gerhard_Gentzen

Gerhard Gentzen Z Wikipedii, wolnej encyklopedii. Gerhard Gentzen 24 listopada 4 sierpnia niemiecki matematyk, zasłużony w badaniach nad logikÄ i podstawami matematyki . Miał duży wpływ na powstanie system³w dowodzenia twierdzeń , tworzÄ c między innymi system sekwent³w Po zajęciu Pragi przez wojska radzieckie został aresztowany razem z pozostałymi profesorami niemieckiego uniwersytetu i po trzech miesiÄ cach przebywania w tragicznych warunkach zmarł. Views artykuł dyskusja edytuj historia Personal tools Logowanie nawigacja Strona gł³wna Ostatnie zmiany Losuj stronę Pomoc ... Dary pieniężne Szukaj narzędzia LinkujÄ ce Zmiany w dolinkowanych Strony specjalne Tę stronę ostatnio zmodyfikowano o 11:05, 22 lis 2002 Treść udostępniana na licencji GNU Free Documentation License O Wikipedii Informacje prawne

4. Gerhard Gentzen - Encyclopedia Article About Gerhard Gentzen. Free Access, No Re encyclopedia article about Gerhard Gentzen. Gerhard Gentzen in Free onlineEnglish dictionary, thesaurus and encyclopedia. Gerhard Gentzen. http://encyclopedia.thefreedictionary.com/Gerhard Gentzen

Dictionaries: General Computing Medical Legal Encyclopedia Gerhard Gentzen Word: Word Starts with Ends with Definition Gerhard Gentzen November 24 November 24 is the 328th day (329th on leap years) of the year in the Gregorian Calendar. There are 37 days remaining. Events 1639 - Jeremiah Horrocks observes the transit of Venus. 1642 - Abel Tasman becomes the first European to discover the island Van Diemen's Land (later renamed Tasmania). 1859 - British naturalist Charles Darwin publishes The Origin of Species Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1850s 1860s 1870s 1880s 1890s - Years: 1904 1905 1906 1907 1908 - Events January 5 - Colombia recognizes the independence of Panama. January 16 - Ernest Shackleton's expedition finds the magnetic South Pole. Click the link for more information. August 4 August 4 is the 216th day of the year in the Gregorian Calendar (217th in leap years), with 149 days remaining. Events 1578 - Battle of Al Kasr al Kebir - Moroccans defeat Portuguese. King Sebastian of Portugal is defeated and killed in North Africa, leaving his elderly uncle, Cardinal Henry, as his heir. This initiates a succession crisis in Portugal. 1735 - Freedom of the press: New York Weekly Journal writer John Peter Zenger is acquitted of seditious libel against the royal governor of New York, on the basis that what he published was true.

5. Gerhard Gentzen Gerhard Karl Erich Gentzen. Narozen 24. 2. Vihan, P. Gerhard Gentzen (19091945).Pokroky matematiky, fyziky a astronomie. 37 (1992), str. 249-257. http://www.math.muni.cz/math/biografie/gerhard_gentzen.html

Gerhard Karl Erich Gentzen Narozen: 24. listopadu 1909 v Greifswaldu Zemøel: 4. srpna 1945 v Praze Gerhard Karl Erich Gentzen absolvoval v roce 1928 gymnázium ve Stralsundu a poté studoval dva semestry na univerzitì v G öttingen. Dále studoval po jednom semestru na univerzitách v Mnichovì a v Berlínì. Pak se vrátil zpìt do Göttingen, kde v roce 1933 získal doktorát za práci Untersuchungen über das logische Schliessen. Získal rovnì¾ oprávnìní k výuce matematiky a fyziky na støedních ¹kolách. V roce 1935 se stal asistentem D. Hilberta. V roce 1940 se habilitoval s prací Beweisbarkeit und Unbeweisbarkeit von Anfangsfällen der transfiniten Induktion in der reinen Zahlentheorie. Roku 1943 byl jmenován mimoøádným profesorem na nìmecké univerzitì v Praze, kde pùsobil do kvìtna roku 1945. Byl poté zatèen a vìznìn na Karlovì námìstí. Ve své práci se Gerhard Karl Erich Gentzen zabýval logikou a základy matematiky. V práci Untersuchungen über das logische Schliessen zkonstruoval tzv. bezøezový Gentzenùv systém predikátové logiky a v pracích Widerspruchsfreiheit der reinen Zahlentheorie a Neue Fassung des Widerspruchsfreiheitbeweises für die reine Zahlentheorie dokázal bezespornost èisté teorie èísel.

6. Gerhard Gentzen Gerhard Gentzen. Gerhard Gentzen (Listopad 24, 1909 Srpen 4, 1945)byl Nemec matematik a logik. Narozený v Greifswald, Nemecko http://wikipedia.infostar.cz/g/ge/gerhard_gentzen.html

švodn­ str¡nka Tato str¡nka v origin¡le Gerhard Gentzen Gerhard Gentzen 24. listopadu 4. srpna ) byl Němec matematik a logik Narozen½ v Greifswald Německo , on zemřel v Praha Československo On byl jeden Weyl ' s studenti u univerzity G � ttingen od k . Jeho hlavn­ pr¡ce byla na z¡kladech matematika , v teorie důkazu Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia . Cel½ text je dostupn½ za podm­nek GNU FDL licence

7. Gerhard Gentzen - Information An online Encyclopedia with information and facts Gerhard Gentzen Information,and a wide range of other subjects. Gerhard Gentzen - Information. http://www.book-spot.co.uk/index.php/Gerhard_Gentzen

Gerhard Gentzen - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... Interdisciplinary categories Gerhard Gentzen November 24 August 4 ) was a German mathematician and logician Born in Greifswald Germany , he died in Prague Czechoslovakia He was one of Weyl 's students at the University of Göttingen from to . His main work was on the foundations of mathematics , in proof theory All text is available under the terms of the GNU Free Documentation License (see for details). . Wikipedia is powered by MediaWiki , an open source wiki engine.

8. Gentzen Gerhard Gentzen. Gerhard Gentzen was taught by Bernays, Carathéodory, Courant,Hilbert, Kneser, Landau and Weyl at the University of Göttingen. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Gntzn.htm

Gerhard Gentzen Born: 24 Nov 1909 in Greifswald, Germany Died: 4 Aug 1945 in Prague, Czechoslovakia Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Gerhard Gentzen was taught by Bernays Courant Hilbert Kneser ... Landau and Weyl Hilbert 's assistant in 1934. As part of the German war effort, he was forced to take up a teaching post in the University of Prague. The citizens of Prague rose in revolt against the occupying German forces on 5 May 1945 and held the city until the Russian Army arrived four days later. Gentzen was interned by the Russian forces and held in poor conditions. He died of malnutrition after 3 months in internment. Gentzen's work was on logic and the foundations of mathematics. He invented a 'natural deduction' which provided a logic closer to mathematical reasoning than the systems proposed by Frege Russell and Hilbert In 1934 Gentzen gave the method of succinct Sequenzen, rules of consequents, which were particularly useful for deriving metalogical decidability results. In 1936 he gave a consistency proof for the system S of arithmetic with induction. By

9. Poster Of Gentzen Gerhard Gentzen. was born 89 years ago. 24th November 1909. Gentzeninvented a natural deduction which provided a logic closer to http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/1124.htm

Gerhard Gentzen was born 89 years ago 24th November 1909 Gentzen invented a 'natural deduction' which provided a logic closer to mathematical reasoning than the systems proposed by Frege, Russell and Hilbert. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Gentzen.html

10. Gerhard_Gentzen : Essential Information, Explanation, Recent Texts, Monographs, Essential Information explanations, latest texts monographs on Gerhard_Gentzen.The collected papers of Gerhard Gentzen by Gerhard gentzen gerhard Gentzen. http://essential-facts.com/primary/logic/Gerhard_Gentzen.html

The collected papers of Gerhard Gentzen by Gerhard Gentzen Gerhard Gentzen Gerhard Gentzen ( November 24 August 4 ) was a German mathematician and logician . Born in Greifswald Germany , he died in Prague Czechoslovakia . He was one of Weyl 's students at the University of Göttingen from to . His main work was on the foundations of mathematics , in proof theory The above article is adapted from from Wikipedia All Wikipedia article text is available under the terms of the GNU Free Documentation License Recent related patents from USPTO: Bibliographic Resources Updates and comments at Essential Facts blog Are you interested in Feng Shui Price Theory Resources World Class Photographers Some philosophical movements ... Top PDF and eBook Downloads Interesting Links Sports Kitchen Knowledge Hollywood Icons Mythology ... Site-Map Note again ... some material here is adapted from from Wikipedia All Wikipedia article text is available under the terms of the GNU Free Documentation License ©2004, All applicable rights reserved as appropriate.

11. Politologia - Kadra INP Gawecki Boleslaw Józef, Gawriil Woskriesienski Wasilij, Geach Peter Thomas,Gehlen Arnold, Gellner Ernest, Gennaro Emanuele, gentzen gerhard Karl Erich http://human.uwm.edu.pl/politologia/publikacje.htm

WYKAZ PUBLIKACJI PRACOWNIKÓW INSTYTUTU NAUK POLITYCZNYCH ZA LATA 1999-2003 ROK 1999 1. BARBASZYÑSKI D., Niebezpieczeñstwa cywilizacyjnych przemian. Refleksje St. Lema, w: Materia³y VI Ogólnopolskiego Sympozjum Ekologicznego, Olsztyn 1999, s. 60-66. 2. BARBASZYÑSKI D., Normy moralne w przestrzeni sensu miêdzy bytem a powinno¶ci±, w: Spór o etykê, Wydaw. UJ, Kraków 1999, s. 37-42. 3. BARBASZYÑSKI D., Problem natury z³a w my¶li M. Zdziechowskiego, w: Studia z dziejów filozofii z³a, Toruñ 1999, s. 119-126. 4. BARBASZYÑSKI D., Problem przestrzeni etycznej w pogl±dach filozoficznych M. Zdziechowskiego, Wydaw. WSP, Olsztyn 1999, ss. 128 5. BOMBA£A B., Etyczny wymiar strategii konkurencji i marketingu, w: Etyka biznesu, gospodarki i zarz±dzania, red. Gasparski W., A. Lewicka-Strza³ecka, D. Miller, Wydaw. Wy¿szej Szko³y Humanistyczno-Ekonomicznej w £odzi, £od¼ 1999, s. 205-211. 6. BOMBA£A B., Zastosowanie zasady pomocniczo¶ci w praktyce gospodarczej, w: "Annales", Etyka w ¿yciu gospodarczym, t. 2, Wydaw. Salezjañskiej Wy¿szej Szko³y Ekonomii i Zarz±dzania, £ód¼ 2003, s. 137-150. 7. CHAZBIJEWICZ S., Funkcja kszta³c±ca organizacji pozarz±dowej na przyk³adzie dzia³alno¶ci Zwi±zku Tatarów Polskich, w: Edukacja miêdzykulturowa w wymiarze instytucjonalnym, red. J. Nikiforowicz, M. Sobecki, Wydaw. Uniwersyteckie Trans Humana, Bia³ystok 1999, s. 210-233.

12. Astrologos Books, NY No Refund or Exchange. Item No M76876A598582231, Price $84, Order now!Author gentzen gerhard. Title Recherches Sur La Deduction Logique. http://www.astrologos.org/P_S/page000162.htm

Astrologos Books 1st Page Previous Page Back to Top Next Page ... Last Page Print-to-order black and white reprints of rare, hard-to-find and out of print books Author: Haristoy Pierre. Title: Recherches Historiques Sur Le Pays Basque. Volume 2 Description: Item No: M-71969A059851399 Price: Order now! Author: Pouy Ferdinand. Title: Recherches Historiques Sur L'Imprimerie Et La Librairie a Amiens; Avec Une Description De Livres Divers Imprimes Dans Cette Ville. Description: Item No: M-84081A608359858 Price: Order now! Author: Levy Raphael. Title: Recherches Lexicographiques Sur D'Anciens Textes Francais D'origine Juive. Description: Item No: M-78622A598549706 Price: Order now! Author: Marat Jean Paul. Title: Recherches Physiques Sur Le Feu. Description: Item No: M-76876A598582231 Price: Order now! Author: Gentzen Gerhard. Title: Recherches Sur La Deduction Logique. Description: Item No: M-77608A059856831 Price: Order now! Author: Meersch Polydore Charles van der. Title: Recherches Sur La Vie Et Les Travaux Des Imprimeurs Belges Et Neerlandais...Et Sur La Part Qu'Ils Ont Prise a La Regeneration Litteraire De L'europe Au Xve Siecle...Tome Premier. Description: Item No: M-77575A598395938 Price: Order now!

13. Gerhard Gentzen Encyclopedia. Main Page See live article, Gerhard Gentzen. Gerhard Gentzen(November 24, 1909 August 4, 1945) was a German mathematician and logician. http://www.sciencedaily.com/encyclopedia/gerhard_gentzen

Match: sort by: relevance date Free Services Subscribe by email RSS newsfeeds PDA-friendly format loc="/images/" A A A Find Jobs In: Healthcare Engineering Accounting College Contract / Freelance Customer Service Diversity Engineering Executive Healthcare Hospitality Human Resources Information Tech International Manufacturing Nonprofit Retail All Jobs by Job Type All Jobs by Industry Relocating? Visit: Moving Resources Moving Companies Mortgage Information Mortgage Calculator Real Estate Lookup Front Page Today's Digest Week in Review Email Updates ... Outdoor Living Encyclopedia Main Page See live article Gerhard Gentzen Gerhard Gentzen November 24 August 4 ) was a German mathematician and logician . Born in Greifswald Germany , he died in Prague Czechoslovakia . He was one of Weyl 's students at the University of Göttingen from to . His main work was on the foundations of mathematics , in proof theory Note: The original source of this article can be found on the main Wikipedia Web site. This article is licensed under the GNU Free Documentation License , which means that you can copy and modify it as long as the entire work (including additions) remains under this license. About This Site Editorial Staff Contribute News Advertise With Us Science Daily editor@sciencedaily.com

14. Classmark QA9 GEN, gentzen gerhard 19091945, Collected papers, 01, 1500442007. GC190GIL, Gill Adrian E. Atmosphere-ocean dynamics Adrian E. Gill, 01, 1500085461. http://www.maths.bris.ac.uk/~amnag/library/mathsclass.htm

Classmark Author Title Item status Barcode Serials (item status 57 = Holdings record) Unclassified Fundamenta mathematicae Proceedings of symposia in pure mathematics Stack 1400 American Mathematical Society translations Annual review of fluid mechanics Annual review of fluid mechanics Annual review of fluid mechanics Annual review of fluid mechanics Books ABL Ablowitz Mark J. Solitons and the inverse scattering transform Mark J. Ablowitz and Harvey Segur ACH Acheson D.J. Elementary fluid dynamics D.J. Acheson AB Ackermann W. Wilhelm Solvable cases of the decision problem by W. Ackermann AIN Ainley Stephen Mathematical puzzles Stephen Ainley AND Anderson John D. John David Fundamentals of aerodynamics John D. Anderson, Jr. AND Anderson John D. John David 1930- Fundamentals of aerodynamics John D. Anderson, Jr APE Apel John R. John Ralph 1930- Principles of ocean physics John R. Apel ARI Aris Rutherford Vectors, tensors, and the basic equations of fluid mechanics Rutherford Aris ATH Athreya K.B. Krishna B.

15. M. E. Szabo: The Collected Works Of Gerhard Gentzen The Collected Works of gerhard gentzen. NorthHolland Publishing Company, 1969 Introduction At age 22 in 1932, gentzen submitted the paper 1 "On the Existence of Independent http://www.andrew.cmu.edu/~cebrown/notes/szabo.html

M. E. Szabo. The Collected Works of Gerhard Gentzen . North-Holland Publishing Company, 1969. Introduction Investigations into Logical Deduction (1934) Introduction: At age 22 in 1932, Gentzen submitted the paper #1: "On the Existence of Independent Axiom Systems for Infinite Sentence Systems." He introduces a system of the propositional calculus as a sequent calculus based on Hertz's work. He modifies Hertz's "syllogism" rule to be Gentzen's "cut" rule. In this context he constructs an infinite set of sentences that has no independent set of axioms. He also shows that all "linear" sentence systems do have an independent axiomatization. Tarski introduced the semantic notion of logical consequence in 1936. Gentzen had developed this idea (for propositional logic) in #1. Gentzen's natural deduction system in #3 [1935, see below] provides a formalization of the notion of consequence in the sense first used by Bolzano (which was introduced by Bolzano over a hundred years earlier and is analogous to Tarski's notion). Gentzen studied axiom systems and axiomatic methods in order to contribute to Hilbert's program . Gentzen classifies mathematics into three levels (a classification which goes back to Weyl [1931]) based on how infinity is used: elementary number theory, analysis, general set theory. Gentzen, like the

16. Biography-center - Letter G agnesscott.edu/lriddle/women/gentry.htm. gentzen, gerhard. wwwhistory.mcs.st-and.ac.uk/~history/ Mathematicians/gentzen.html. Geoffrey of Monmouth http://www.biography-center.com/g.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish G 558 biographies www.pathfinder.com/time/time100/scientist/profile/godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Godel.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Gopel.html G.i., American www.pathfinder.com/time/time100/heroes/profile/gi01.html Gabbiani, Beppe www.grandprix.com/gpe/drv-gabbep.html Gabelich, Gary www.hickoksports.com/biograph/gabelichg.shtml Gable, Daniel M. www.hickoksports.com/biograph/gabledan.shtml Gabor, Dennis www.nobel.se/physics/laureates/1971/gabor-autobio.html Gachot, Bertrand www.grandprix.com/gpe/drv-gacber.html Gaddi, Taddeo www.kfki.hu/~arthp/bio/g/gaddi/taddeo/biograph.html Gadgil, Ashok web.mit.edu/invent/www/inventorsA-H/gadgil.html Gadgil, Ashok

17. Gentzen Biography of gerhard gentzen (19091945) gerhard gentzen. Born 24 Nov 1909 in Greifswald, Germany gerhard gentzen's father was a lawyer who practiced law in Bergen on the Isle of Rügen http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Gentzen.html

Gerhard Gentzen Born: 24 Nov 1909 in Greifswald, Germany Died: 4 Aug 1945 in Prague, Czechoslovakia Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Gerhard Gentzen Gymnasium in Stralsund. Certainly moving schools did not affect Gentzen's academic achievements for when he received his Abitur in 1928 it was with distinction and he was ranked top in his school. In [6] Robbel describes the intellectual world of the young Gentzen in particular examining the influences on him of his grandparents (especially A Bilharz) and his parents. The results of his 1928 Reifeprufung examination are given in an appendix to [6]. The headmaster of the Humanistische Gymnasium was certainly impressed with the results and, recognising his exceptional mathematical abilities, awarded him a university scholarship. Weyl for his doctorate on the foundations of mathematics. He was taught by Bernays Courant Hilbert Kneser ... Edmund Landau and, of course, his supervisor Weyl Hilbert 's assistant in 1934. M E Szabo writes in [2]:-

18. Gerhard Gentzen Translate this page eMail. gerhard gentzen (1909 - 1945). Der Mathematiker und Logiker gerhard gentzenbeschäftigte sich vor allem mit Problemen des logischen Schließens. http://www.philosophenlexikon.de/gentzen.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Gerhard Gentzen (1909 - 1945) Der Mathematiker und Logiker und das powered by Uwe Wiedemann

19. Philosophenlexikon.de gentzen, gerhard; Georgios Pachymeres; Gerber,Gustav; Gerbert von Aurillac; Gergonne, Joseph D. gerhards, gerhard; http://www.philosophenlexikon.de/index-gg.htm

Begriffe Abaelard - Ayer Baader - Byron Cabanis - Czezowski Ebbinghaus - Ewald ... Frauen in der Philosophie Diskussion PhilTalk Philosophieforen Andere Lexika PhilLex -Lexikon der Philosophie Lexikon der griechischen Mythologie PhiloThek Bibliothek der Klassiker Zeitschriftenlesesaal Nachschlagewerke Allgemeine Information ... Dokumentenlieferdienste Spiele Philosophisches Galgenraten PhilSearch.de Shops PhiloShop PhiloShirt Service Kontakt Impressum eMail Philosophen und Logiker [a] [b] [c] [d] ... [z] G Galenos, Claudius Galilei, Galileo Galitsch, Alexandr Iwanowitsch Galton, Francis ... Gunsun Lun powered by Uwe Wiedemann

20. Hilbert's Program Erkenntnis, 53 6396. gentzen, gerhard, 1936, "Die Widerspruchsfreiheit der reinen in gentzen (1969, 132-213). gentzen, gerhard, 1969, The Collected Papers of gerhard gentzen http://plato.stanford.edu/entries/hilbert-program

version history HOW TO CITE THIS ENTRY Stanford Encyclopedia of Philosophy A B C D ... Z This document uses XHTML-1/Unicode to format the display. Older browsers and/or operating systems may not display the formatting correctly. last substantive content change JUL Hilbert's Program 1. Historical development of Hilbert's Program 1.1 Early work on foundations 1.2 The influence of Principia Mathematica 1.3 Finitism and the quest for consistency proofs ... Related Entries 1. Historical development of Hilbert's Program 1.1 Early work on foundations Hilbert's work on the foundations of mathematics has its roots in his work on geometry of the 1890s, culminating in his influential textbook Foundations of Geometry ) (see 19th Century Geometry ). Hilbert believed that the proper way to develop any scientific subject rigorously required an axiomatic approach. In providing an axiomatic treatment, the theory would be developed independently of any need for intuition, and it would facilitate an analysis of the logical relationships between the basic concepts and the axioms. Of basic importance for an axiomatic treatment are, so Hilbert, investigation of the independence and, above all, of the consistency of the axioms. For the axioms of geometry, consistency can be proved by providing an interpretation of the system in the real plane, and thus, the consistency of geometry is reduced to the consistency of analysis. The foundation of analysis, of course, itself requires an axiomatization and a consistency proof. Hilbert provided such an axiomatization in (

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 1     1-20 of 83    1  | 2  | 3  | 4  | 5  | Next 20