41. Abraham Ibn Ezra It was Rabbi levi ben gerson, in 1321, who rigorously proved the explicit expressionsfor the binomial coefficients, and even he, almost two hundred years later http://www.geocities.com/Paris/Palais/1067/ibn_ezra02.html

The Planets Are Servants What else can you tell me about this Ibn Ezra? Well, he also knew how to compute the seventh row of what later became to be called Pascal's triangle. The practical problem that inspired these calculations was to find the number of possible planetary conjunctions. As every educated person knows, there are exactly seven planets: Sun, Moon, Mercury, Venus, Mars, Jupiter, and Saturn. Whenever a subset of cardinality larger than one shows up at the same sign, this has great astrological significance. How many such events are possible? Here is a translation, from Hebrew, of the first half of the relevant passage in Ibn Ezra's Sefer HaOlam. He called planets 'servants' ( meshartim ), which perhaps meant servants of God. And the combinations are hundred and twenty. And thus you can know their number. [It is] Known that every calculation that adds from one to any number that one wills, you can obtain by its value [multiplied] by its half together with half of one, and here is an example, we wanted to know what is the sum of the numbers from one to twenty. We will multiply twenty by its half and half of one, and [we get] two hundreds and ten. And now we can start to know how many combinations [involving] two servants. And it is known that the number of servants is seven. And Saturn can combine with six other servants. And six by its half and the half of one is one and twenty. And thus is the number of combinations of twos. [Now] we wanted to know the number of combinations of threes. Here we put Saturn and Jupiter and one of the others, their number is five. We multiply five by two and a half and a half, and get fifteen...

42. Gersonides Rabbi levi ben gerson (Gershon), lépe známý jak Gersonides nebo Ralbag (1288? 1344 CE), byl Židovský filozof a komentátor, byl narozený u Bagnols v http://wikipedia.infostar.cz/g/ge/gersonides.html

švodn­ str¡nka Tato str¡nka v origin¡le Gersonides Rab­n Levi ben Gerson (Gershon), l©pe zn¡m½ jak Gersonides nebo ' Ralbag (1288 � 1344 CE), byl Židovsk½ filozof a koment¡tor, byl narozen u Bagnols v Languedoc. Tabulka s obsahem showTocToggle (" přehl­dka ", " schov¡vat se ") 1 biografie 2 pr¡ce 3 pohledy na boha a omnipotence 4 pohledy na posmrtn½ život Biografie Jak v př­padě jin½ středověk½ Židovsk½ filozofov© mal½ je zn¡n jeho života. Jeho rodina byla v½značn¡ pro zbožnost a exegetical dovednost, ale ačkoli on byl zn¡m½ v židovsk© komunitě koment¡Å™i k jist½m knih¡m Bible , on nikdy vypad¡, že m¡ přijal nějak© rab­nsk© m­sto. Možn¡ svoboda jeho n¡zorů může m­t stavěn© přek¡Å¾ky způsobem jeho pov½Å¡en­. On je zn¡n k byli u Avignon a oranžov½ během jeho života, a je věřil k zemřeli v 1344, ačkoli Zacuto tvrd­, že on zemřel u Perpignan v 1370. Pr¡ce Jeho č¡st spisy sest¡vaj­ z koment¡Å™Å¯ k porc­m Aristotle pak zn¡m½, nebo poněkud koment¡Å™Å¯ ke koment¡Å™Å¯m Averroes . Někteř­ tito jsou tisknuti v časn½ch latinsk½ch vyd¡n­ch Aristotle � s pracuje. Jeho nejdůležitějÅ¡­ pojedn¡n­, to kter½ on m¡ m­sto v minulosti filozofie, je nadeps¡n

43. ThinkQuest : Library : Go Forth & Multiply: A Mathematics Adventure levi ben gerson worked on plane trigonometry, particularly the lawsof sines and cosines. He expanded on levi ben gerson s work. http://library.thinkquest.org/C0110248/trigonometry/history2.htm

Index Education Want to learn more about the world of mathematics? Then go forth, and enter the wildest math adventure you've ever been! Learn new math concepts and refresh your knowledge for those you've already known. Understand how the formulae you use were derived from. Or, you can take a step back into the past and read about how mathematics and its concepts originated. Go forth and multiply! Visit Site 2001 ThinkQuest Internet Challenge Awards Achievement Award Students Teow Lim Raffles Junior College, Singapore, Singapore Vee San Raffles Girls' School (Secondary), Singapore, Singapore Coaches Poh Kheng Pioneer Junior College, Singapore, Singapore Jee Wah Raffles Girls' School (Sec), Hougang, Singapore Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

44. Spirit And Sky Philosophy: Philosophers: G: Gersonides (Added Thu Jan 01 2004) ID 113670. levi ben gerson levi ben gerson. Biographicalarticle with links and bibliography, from the MacTutor History of Mathematics. http://www.spiritandsky.com/philosophy/philosophers/g/gersonides/

Home philosophy philosophers g : gersonides the entire directory only this category More search options Home Search Suggest a Site ... g : gersonides Links: Bibliographia Gersonideana Bibliographia Gersonideana Annotated bibliography of primary and secondary sources on this medieval Jewish thinker, compiled by Menachem Kellner. (Added: Thu Jan 01 2004) ID 113673 Gersonides Gersonides Article by Tamar Rudovsky from the Stanford Encyclopedia of Philosophy. Provides a bibliography, in addition to discussions of this philosopher's life, work and doctrine of astrological determinism. (Added: Thu Jan 01 2004) ID 113671 Levi ben Gershon Levi ben Gershon Article on this medieval philosopher and astronomer, from the Jewish Encyclopedia. (Added: Thu Jan 01 2004) ID 113670 Levi ben Gerson Levi ben Gerson Biographical article with links and bibliography, from the MacTutor History of Mathematics. (Added: Thu Jan 01 2004) ID 113674 Wikipedia: Gersonides Wikipedia: Gersonides Article from this openly-edited encyclopedia. (Added: Thu Jan 01 2004) ID 113672 Home philosophy philosophers g : gersonides Home Search Suggest a Site Submission Guidelines ... About The Artist permission from spiritandsky.com is strictly prohibited.

45. Detailed Record The astronomy of levi ben gerson (12881344) a critical edition of chapters1-20 with translation and commentary • By Levi ben Gershom ; Bernard R http://www.worldcatlibraries.org/wcpa/ow/56f760f15ecd0fd7a19afeb4da09e526.html

About WorldCat Help For Librarians The astronomy of Levi ben Gerson (1288-1344) : a critical edition of chapters 1-20 with translation and commentary Levi ben Gershom Bernard R Goldstein Find libraries with the item Enter a postal code, state, province or country WorldCat is provided by OCLC Online Computer Library Center, Inc. on behalf of its member libraries.

46. FreeLists / Tuning-math / [tuning-math] Philippe De Vitry And Levi Ben Gerson tuningmath Philippe de Vitry and levi ben gerson. From GeneW Smith genewardsmith@xxxxxxxx ; To tuning-math@xxxxxxxxxxxxxxx; http://www.freelists.org/archives/tuning-math/07-2002/msg00040.html

50MB for both Email and File storage? Craziness, or just MailandFiles.com tuning-math Date Prev 07-2002 Date Index ... Thread Next [tuning-math] Philippe de Vitry and Levi ben Gerson From To Date : Sun, 14 Jul 2002 22:37:17 -0700 The finiteness of the 3-limit superparticulars is a very old result, and arose from musical considerations: http://www.sciencenews.org/sn_arc99/1_23_99/mathland.htm http://us.click.yahoo.com/Xw80LD/h1ZEAA/Ey.GAA/wHYolB/TM http://docs.yahoo.com/info/terms/ http://www.freelists.org/list/tuning-math ... Login Paid Advertising: FreeLists has no affiliation with the following companies or products, but they help pay the bills. Personal Loans Unsecured Loans Secured Loans Bad Credit Loans Consolidate debt with homeowner secured loans Ringtones Nokia Motorola Samsung Siemens Ringtones Bad Credit Loans Personal Loans Unsecured Loans Secured Loans Cell Phones Tmobile Cell Phone Plans Mobile Phones ... Cialis and Levitra

47. 5:1 (Spring 1997) The Physical astronomy of levi ben gerson. levi ben gerson (12881344) was a medievalastronomer who responded in an unusual way to the Ptolemaic tradition. http://www.phil.vt.edu/new/pos/5-1.htm

5:1 (Spring 1997) The Physical astronomy of Levi ben Gerson Bernard R. Goldstein Almagest , he discovered a new phenomenon of Mars and noticed a serious flaw in Ptolemy’s treatment of the Moon. Calibration Allan Franklin A Twentieth-Century Phlogiston: Constructing Error and Differentiating Domains Douglas Allchin

48. Important Message From Doron Zeilberger PA 19122, zeilberg@math.temple.edu, http//www.math.temple.edu/~zeilberg/ WrittenMarch 5, 1999 Revised March 25, 1999 Rabbi levi ben gerson, in his pre http://pauillac.inria.fr/algo/AofA/mailing_list/msg00113.html

ANALYSIS of ALGORITHMS, Bulletin Board Date Prev Date Next Thread Prev Thread Next ... Thread Index Important message from Doron Zeilberger To AofA@pommard.inria.fr Subject Important message from Doron Zeilberger From helmut@cam.wits.ac.za Date: Wed, 7 Apr 1999 09:48:31 GMT +2 Organization: MS, University of the Witwatersrand Priority: normal http://www.math.temple.edu/~zeilberg/ http://www.math.temple.edu/~zeilberg/ http://www.math.temple.edu/~zeilberg/programs.html )., in particular RENE ( http://www.math.temple.edu/~zeilberg/tokhniot/RENE http://www.wits.ac.za/helmut/index.htm Prev by Date: complexite pseudo-diadique Next by Date: Set symmetric difference Prev by thread: complexite pseudo-diadique Next by thread: Set symmetric difference Index(es): Date Thread Date Prev Date Next ... Thread Index

49. Möbuß Translate this page Veröffentlichungen Die Intellektlehre des levi ben gerson in ihrer Beziehung zurchristlichen Scholastik, Frankfurt / Main, New York, Paris 1991 (Europäische http://www.uni-oldenburg.de/philosophie/1037.html

Institut für Philosophie Aktuelles Veranstaltungen Mitglieder Büttemeyer Kreuzer Möbuß Puster Rehkämper Ruschig Schulz Sukale zur Lippe Archiv Links Werte und Normen Uni ... Möbuß Übersicht Susanne Möbuß, apl. Prof. Dr. phil. Biographie Geboren am 10.01.1963 in Hannover, Studium der Philosophie und Geschichte in Hannover. Veröffentlichungen Die Intellektlehre des Levi ben Gerson in ihrer Beziehung zur christlichen Scholastik, Frankfurt / Main, New York, Paris 1991 (Europäische Hochschulschriften, Reihe XX, Band 353). Anthropologische Konzepte der Marguerite Poréte, in Actes del simposi internacional de filosofia de l´edat mitjana (Vic-Girona, 11-16 d´abril de 1993), Vic 1996 (Patronat d´estudis Osononcs, série ´Actes´, núm. 1), S. 569-573. Der Begriff der cientia bei Levi ben Gerson, in: Miscellanea Mediaevalia 22 (1994) 653-666. Weiblichkeitsvisionen der Mystikerinnen im Mittelalter, in: Die Krise der Kategorie, hrsg. vom ´Verein sozialwissenschaftliche Forschung und Bildung´, Frankfurt am Main 1994, S. 125-145. Marguerite Poréte, in: Philosophinnen-Lexicon, hrsg. von Ursula L. Meyer und Heidemarie Bennent-Vahle, Aachen 1994.

50. Philosophisches Seminar - Prof. Möbuß Translate this page Die Intellektlehre des levi ben gerson in ihrer Beziehung zur christlichen Scholastik,Frankfurt / Main, New York, Paris 1991 (Europäische Hochschulschriften http://www.philosem.uni-hannover.de/moebuss.htm

Apl. Prof. Dr. Susanne Möbuß ZUR PERSON Geboren am 10.01.1963 in Hannover; Studium der Philosophie und Geschichte in Hannover. LEHRGEBIETE UND FORSCHUNGSSCHWERPUNKTE Jüdische Philosophie des Mittelalters und der Renaissance, Französische Gegenwartsphilosophie NEUERE VERÖFFENTLICHUNGEN (AUSWAHL) a. Monographien Die Intellektlehre des Levi ben Gerson in ihrer Beziehung zur christlichen Scholastik, Frankfurt / Main, New York, Paris 1991 (Europäische Hochschulschriften, Reihe XX, Band 353). Die Erscheinung des Transzendenten, Eilah Delmedigo und der Averroismus der Renaissance, Hannover 1996. Schopenhauer für Anfänger, "Die Welt als Wille und Vorstellung". Eine Lese-Einführung, München 1998. Damit er vielsichtig werde. Die Entwicklung des Selbstbewußtseins in der Renaissonce, in: Asa A. Schillinger-Kind, Die Affirmation des Unvermeidlichen in Widerstand und Würde, Frankfurt am Main, New York, Paris 1998 (Europäische Hochschulschriften, Reihe XX, Band 566). Plotin. Zur Einführung, Hamburg 2000. Sartre, Freiburg 2000. b. Beiträge in Sammelwerken und Zeitschriften

51. Table Of Contents XIII. MOSES AND MAIMONIDES. XIV. HILLEL BEN SAMUEL. XV. levi ben gerson. XVI. AARONBEN ELIJAH OF NICOMEDIA. XVII. HASDAI BEN ABRAHAM CRESCAS. XVIII. JOSEPH ALBO. http://web.doverpublications.com/cgi-bin/toc.pl/0486422372

American History, American...... American Indians Anthropology, Folklore, My...... Antiques Architecture Art Bridge and Other Card Game...... Business and Economics Chess Children Clip Art and Design on CD-...... Cookbooks, Nutrition Crafts Detective, Ghost , Superna...... Dover Patriot Shop Ethnic Interest Features Gift Certificates Gift Ideas History, Political Science...... Holidays Humor Languages and Linguistics Literature Magic, Legerdemain Military History, Weapons ...... Music Nature Performing Arts, Drama, Fi...... Philosophy and Religion Photography Posters Puzzles, Amusement, Recrea...... Science and Mathematics Sociology, Anthropology, M...... Sports, Out-of-Door Activi...... Stationery, Gift Sets Stationery, Seasonal Books...... Summer Fun Shop Summer Reading Shop Travel and Adventure Women's Studies A History of Mediaeval Jewish Philosophy by Isaac Husik ISBN: 0486422372 Dover Publications Price: $18.95 click here to see this book In this enlightening study, a noted scholar elucidates the distinguishing characteristics of the works of several Jewish thinkers of the Middle Ages. In addition to summaries of the main arguments and teachings of Moses Maimonides, Isaac Israeli, Judah Halevi, Abraham Ibn Daud, Hillel ben Samuel, Levi ben Gerson, Joseph Albo, and many others, the author offers insightful analyses and commentary. Of particular value to beginners, this volume is also an ever-relevant resource for many issues of scholarly debate. Table of Contents for A History of Mediaeval Jewish Philosophy

52. Rabbi JOSEPH CARLEBACH Das Heilige Land. (The Holy Land). 1909. levi ben gerson Als Mathematiker. (Leviben Gerson mathematician). 1910. Liberales Judentum u. Judische Tradition. http://www.jct.ac.il/judaica/ashkenaz/carlebj.html

Rabbi JOSEPH CARLEBACH (Son of Salomon Carlebach b. Lubeck 1883; deported to Riga, November, 1941; murdered by the Nazis with his wife and three of his children in March, 1942. Educated at Berlin Rabbinical Seminary and Berlin University, where he graduated. Rabbi Joseph Carlebach began his career as a teacher at the Laemel Teachers' Seminary, Jerusalem (1905-1908). During the first World War he was called to Kovno (Lithuania) to serve as educational adviser to the German military government and was entrusted with the task of organising a Jewish Secondary School, becoming its headmaster (1916-1919). Further appointments: Rabbi of Lubeck 1919-1924 Headmaster of " Talmud Thora" Secondary School , Hamburg, 1924-1927 Chief Rabbi of Altona 1927-1937 Chief Rabbi of Hamburg (and the last incumbent of this office before the Nazi holocause) 1937-1941. Rabbi Joseph Carlebach was a great orator and a writer of distinction. Although he would have saved his life by leaving Germany in time, he stayed at his post to comfort and support his brethren. Publications: Das Heilige Land. (The Holy Land). 1909.

53. Bestseller Bücher Translate this page Bücher Die Intellektlehre des levi ben gerson in ihrer Beziehung zur christlichenScholastik, Die Intellektlehre des levi ben gerson in ihrer Beziehung zur http://www.almudo.com/cgi-bin/betade.cgi?locale=de&input_mode=books_de&node=3139

54. Math 300 Guidelines For Papers ibn Qurra Gerbert d Aurillac Ibn alHaytham Mohammad al-Biruni Omar Khayyam Nasiral-Din al-Tusi Leonardo of Pisa Qin Jiushao levi ben gerson Nicole Oresme http://cerebro.cs.xu.edu/math/math300/02s/papers.html

Math 300 Great Moments in Mathematics Spring 2002 Guidelines for papers You will prepare two research papers for this course: a biographical paper, due February 21 , that relates the mathematical career of a noted historical figure born before 1700; and a paper due April 18 that performs a critical reading of an original source of importance in the history of mathematics. Your biographical paper should conform to the following guidelines, listed in order of importance, and will be evaluated against them: The paper should present a comprehensively researched discussion of the life history of your chosen mathematician; this person's significant mathematical accomplishments must be thoroughly discussed. (35%) It should be presented in a clear and coherent writing style , using correct spelling, proper pronunciation and good grammar. (25%) It should contain a bibliography with at least three sources including at least three print-published (not Web) sources, it should make appropriate use of direct quotations , and should include in-text citations (as either footnotes or endnotes). (25%)

55. Sages Leon. Abraham Abulafia. Jacob Ben Asher (Ba al Tur). levi ben gerson.The Zohar written. Bahya Ben Asher. Hasdai Crescas. Moses Botarel. http://www.normativejewishthought.com/Sages.html

Home Shammai Hillel Philo of Alexandria Gamaliel I Yavneh/Jamnia Yochanan Ben Zakkai Gamaliel II Rabbi Akiba Ben Joseph Rabbi Judah Ha-Nasi Mishnah edited Rabbi Yitzhak Bar Maryon Palestinian Talmud edited Babylonian Talmud edited Yehudai Ben Nachman Karaism founded Amram Ben Sheshna Eldad Ha-Dani Saadia Gaon Sherira Bar Channina Hasdai Ibn Shaprut Aaron Ben Moses Ben Asher Hai Ben Sherira Nathan Ben Yechiel Isaac Ben Jacob Alfasi (Rif) Solomon Ibn Gabirol Isaac Abalia Isaac Ben Judah Ibn Ghayyat Rashi (Rabbi Solomon Ben Isaac) Meir Ben Samuel Judah HaLevi Samuel Ben Meir (RaSHBAM) Abraham Ibn Ezra Jacob Ben Meir (Rabbenu Tam) Benjamin of Tudela Abraham Bar Hiyya Maimonides (Rabbi Moses Ben Maimon) Nachmanides (Rabbi Moshe Ben Nachman) Meir Ben Baruch Solomon Ben Abraham Adret Moses Ben Shem Tov De Leon Abraham Abulafia Jacob Ben Asher (Ba'al Tur) Levi Ben Gerson The Zohar written Bahya Ben Asher Hasdai Crescas Moses Botarel Don Isaac Ben Judah Abarbanel Rabbi Ovadiah Sforno Joseph Karo Solomon Ben Moses HaLevi Alkabetz Isaac Ben Solomon Luria Hayyim Vital Shulchan Aruk published David Ben Solomon Ibn Abi Zimra Nathan of Gaza Jonathan Eybeschuetz Jacob Emden Baal Shem Tov (Rabbi Israel Ben Eliezer) Moses Hayyim Luzzatto Elijah Ben Solomon Zalman Moses Mendelssohn Rabbi Nachman of Breslov Leon Pinsker Yisrael Meir HaKohen Kagan Abraham Isaac Kook Menachem Mendel Schneerson Jewish Sages/Scholars 50 BCE - 30 CE 70 BCE - 10 CE 13 BCE - 41 CE ca. 40 CE

56. Meyers Konversationslexikon, Band 9, Seite 0297, Von Jüdische Litteratur (11.-1 haschamajim über Naturgeschichte) Sohn levi ben gerson Gersonides, Ralbag http://susi.e-technik.uni-ulm.de:8080/meyers/servlet/view/showSeite/ID/106597993

Hauptseite Suchen Abbildungen Gehe zu Verwaltung Wordcheck Bildansicht Versenden Die Seite ist noch nicht korrigiert. Jüdische Litteratur (11.–14. Jahrhundert).

57. Ivars Peterson's MathLand The basic formulas for finding permutations and combinations can befound in the writings of levi ben gerson (12881344). There s http://www.maa.org/mathland/mathland_1_20.html

Search MAA Online MAA Home Ivars Peterson's MathLand January 20, 1997 Fragments of the Past The early history of mathematics is like a jigsaw puzzle missing many of its pieces. Historians and mathematicians have been painstakingly filling in the blanks, gradually constructing a richer, more complete story of how and where mathematical thought originated and spread. One period of considerable interest is that between the decline of Greek mathematics, coinciding with the collapse of the western Roman Empire in the fifth century, and the rise of European mathematics in the fifteenth century. Mathematics professor Morris Kline of New York University's Courant Institute of Mathematical Sciences expressed a common view of that period in his 1972 book Mathematical Thought from Ancient to Modern Times . "The Arabs made no significant advance in mathematics," he wrote. "What they did was absorb Greek and Hindu mathematics, preserve it, and ultimately, ... transmit it to Europe." In other words, Islamic scholars did little more than put Greek mathematics into cold storage until Europe was ready to accept it.

58. 315-316 (Nordisk Familjebok / Uggleupplagan. 16. Lee - Luvua) paradiset. Jfr Behemo t. l o. 2. G. Kn. levi ben gerson. Se Gersonides.Levico, stad i södra Tyrolen i Val Sugana. 4,479 inv. (1900). http://www.lysator.liu.se/runeberg/nfbp/0178.html

Nordisk familjebok Uggleupplagan. 16. Lee - Luvua (1912) Tema: Reference Table of Contents / Innehåll Project Runeberg Catalog ... Print (PDF) On this page / på denna sida - Lewetzau ... Below is the raw OCR text from the above scanned image. Do you see an error? Proofread the page now! Här nedan syns maskintolkade texten från faksimilbilden ovan. Ser du något fel? Korrekturläs sidan nu! This page has never been proofread. / Denna sida har aldrig korrekturlästs. Project Runeberg, Sat May 15 18:57:43 2004 (aronsson) http://www.lysator.liu.se/runeberg/nfbp/0178.html

59. 1183-1184 (Nordisk Familjebok / 1800-talsutgåvan. 9. Kristendomen - Lloyd) en gång. (skillnad) (historik) 1183 levi ben gersonLewis. 1184 Leviben Gerson. Se Ger sonide s. Levide. Se Levede. Levin, Israel http://www.lysator.liu.se/runeberg/nfai/0598.html

Nordisk familjebok 1800-talsutgåvan. 9. Kristendomen - Lloyd (1885) Tema: Reference Table of Contents / Innehåll Project Runeberg Catalog ... Print (PDF) On this page / på denna sida - Lewenhaupt ... Below is the raw OCR text from the above scanned image. Do you see an error? Proofread the page now! Här nedan syns maskintolkade texten från faksimilbilden ovan. Ser du något fel? Korrekturläs sidan nu! This page has been proofread at least once (diff) (history) Denna sida har korrekturlästs minst en gång (skillnad) (historik) Project Runeberg, Sat May 15 18:55:27 2004 (aronsson) (diff) (history) http://www.lysator.liu.se/runeberg/nfai/0598.html

60. Table Of Contents Translate this page HEADWORD, Levi, Leviten, 282. . HEADWORD, Levi ben Abraham ben Chajjim, 294.. HEADWORD, levi ben gerson, 295. . HEADWORD, Lewald (Johann Karl August), 305.. http://134.76.163.65/agora_docs/210732TABLE_OF_CONTENTS.html

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