Geosentrisme: Perbedaan antara revisi

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In the 12th century, [[Abū Ishāq Ibrāhīm al-Zarqālī|Arzachel]] departed from the ancient Greek idea of [[uniform circular motion]]s by hypothesizing that the planet [[Mercury (planet)|Mercury]] moves in an [[elliptic orbit]],<ref name= "Rufus1939"/><ref name= "Hartner1955"/> while [[Nur ad-Din al-Bitruji|Alpetragius]] proposed a planetary model that abandoned the [[equant]], [[Deferent and epicycle|epicycle and eccentric]] mechanisms,<ref name= "Goldstein1972"/> though this resulted in a system that was mathematically less accurate.<ref name= "Gale"/> [[Fakhr al-Din al-Razi]] (1149–1209), in dealing with his [[Physics in medieval Islam|conception of physics]] and the physical world in his ''Matalib'', rejects the [[Aristotelianism|Aristotelian]] and [[Avicennism|Avicennian]] notion of the Earth's centrality within the universe, but instead argues that there are "a thousand thousand worlds (''alfa alfi 'awalim'') beyond this world such that each one of those worlds be bigger and more massive than this world as well as having the like of what this world has." To support his [[Islamic theology|theological argument]], he cites the [[Qur'an]]ic verse, "All praise belongs to God, Lord of the Worlds," emphasizing the term "Worlds."<ref name= "Setia2004"/>
 
The "Maragha Revolution" refers to the Maragha school's revolution against Ptolemaic astronomy. The "Maragha school" was an astronomical tradition beginning in the [[Maragheh observatory|Maragha observatory]] and continuing with astronomers from the [[Umayyad Mosque|Damascus mosque]] and [[Ulugh Beg Observatory|Samarkand observatory]]. Like their [[Al-Andalus|Andalusian]] predecessors, the Maragha astronomers attempted to solve the [[equant]] problem (the circle around whose circumference a planet or the center of an [[epicycle]] was conceived to move uniformly) and produce alternative configurations to the Ptolemaic model without abandoning geocentrism. They were more successful than their Andalusian predecessors in producing non-Ptolemaic configurations which eliminated the equant and eccentrics, were more accurate than the Ptolemaic model in numerically predicting planetary positions, and were in better agreement with empirical observations.<ref name= "Saliba1994"/> The most important of the Maragha astronomers included [[Mo'ayyeduddin Urdi]] (d. 1266), [[Nasīr al-Dīn al-Tūsī]] (1201–1274), [[Qutb al-Din al-Shirazi]] (1236–1311), [[Ibn al-Shatir]] (1304–1375), [[Ali Qushji]] (c. 1474), [[Al-Birjandi]] (d. 1525), and Shams al-Din al-Khafri (d. 1550).<ref name= "Dallal1999"/> [[Ibn al-Shatir]], the Damascene astronomer (1304&ndash;1375 AD) working at the [[Umayyad Mosque]], wrote a major book entitled ''Kitab Nihayat al-Sul fi Tashih al-Usul'' (''A Final Inquiry Concerning the Rectification of Planetary Theory'') on a theory which departs largely from the Ptolemaic system known at that time. In his book, "Ibn al-Shatir, an Arab astronomer of the fourteenth century," E. S. Kennedy wrote "what is of most interest, however, is that Ibn al-Shatir's lunar theory, except for trivial differences in parameters, is identical with that of [[Nicolaus Copernicus|Copernicus]] (1473&ndash;1543 AD)." The discovery that the models of Ibn al-Shatir are mathematically identical to those of Copernicus suggests the possible transmission of these models to Europe.<ref name= "Guessoun2008"/> At the Maragha and [[Ulugh Beg Observatory|Samarkand observatories]], the [[Earth's rotation]] was discussed by al-Tusi and [[Ali Qushji]] (b. 1403); the arguments and evidence they used resemble those used by Copernicus to support the Earth's motion.<ref name= "Ragep2001a"/><ref{{Cite namejournal |last= "Ragep2001b"Ragep |first= F. Jamil |year= 2001 |title= Tusi and Copernicus: The Earth's motion in context |journal= Science in Context |volume= 14 |issue= 1-2 |pages= 145–163 |publisher= [[Cambridge University Press]]}}</ref>
<ref name= "Ragep2001b">{{Cite journal |last= Ragep |first= F. Jamil |year= 2001 |title= Freeing astronomy from philosophy: An aspect of Islamic influence on science |journal= Osiris |series= 2nd Series |volume= 16 |issue= Science in Theistic Contexts: Cognitive Dimensions |pages= 49–64, 66–71 |doi=10.1086/649338}}</ref>
 
However, the Maragha school never made the [[paradigm shift]] to heliocentrism.<ref name="Huff2003"/> The influence of the Maragha school on [[Copernicus]] remains speculative, since there is no documentary evidence to prove it. The possibility that Copernicus independently developed the Tusi couple remains open, since no researcher has yet demonstrated that he knew about Tusi's work or that of the Maragha school.<ref name="Huff2003">{{cite book |last= Huff |first= Toby E. |title= The Rise of Early Modern Science: Islam, China and the West |year= 2003 |publisher= Cambridge University Press |isbn= 9780521529945 |page= [http://books.google.com/books?id=DA3fkX5wQMUC&pg=PA58 58]}}</ref><ref name="KirmaniSingh2005">{{cite book |last1= Kirmani |first1= M. Zaki |last2= Singh |first2= Nagendra Kr |title= Encyclopaedia of Islamic Science and Scientists: A-H |year= 2005 |publisher= Global Vision | isbn=9788182200586}}</ref>
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== Geosentrisme dan sistem-sistem saingan ==
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== Penganut geosentrisme agamawi dan kontemporari ==
[[File:Orlando-Ferguson-flat-earth-map edit.jpg|right|thumb|300px|''Map of the Square and Stationary Earth'' (Peta Bumi bujursangkar dan stasioner/tidak bergerak), karya Orlando Ferguson (1893)]]
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The [[Ptolemaic model|Ptolemaic model of the solar system]] held sway into the early [[modern age]]; from the late 16th century onward it was gradually replaced as the consensus description by the [[heliocentric model]]. Geocentrism as a separate religious belief, however, never completely died out. In the [[United States]] between 1870 and 1920, for example, various members of the [[Lutheran Church – Missouri Synod]] published articles disparaging [[Copernican heliocentrism|Copernican astronomy]], and geocentrism was widely taught within the synod during that period.<ref name= "Babinski1995"/> However, in the 1902 ''Theological Quarterly'', A. L. Graebner claimed that the synod had no doctrinal position on geocentrism, heliocentrism, or any scientific model, unless it were to contradict Scripture. He stated that any possible declarations of geocentrists within the synod did not set the position of the church body as a whole.<ref name= "Graebner1902"/>
 
Model Ptolemaik mengenai tata surya masih terus dianut sampai ke awal zaman modern. Sejak akhir abad ke-16 dan seterusnya perlahan-lahan digantikan sebagai penggambaran konsensus oleh model heliosentrisme. Geosentrisme sebagai suatu kepercayaan agamawi terpisah, tidak pernah padam. Di Amerika Serikat antara tahun 1870-1920, misalnya, berbagai anggota [[Gereja Lutheran – Sinode Missouri]] menerbitkan artikel-artikel yang menyerang sistem astronomi Kopernikan, dan geosentrisme banyak diajarkan di dalam sinode dalam periode tersebut.<ref name= "Babinski1995">{{cite journal |editor-last= Babinski |editor-first= E. T. |journal= Cretinism of Evilution |issue= 2 |title= Excerpts from Frank Zindler's 'Report from the center of the universe' and 'Turtles all the way down' |url= http://www.talkorigins.org/faqs/ce/2/part3.html |publisher= [[TalkOrigins Archive]] |year= 1995 |accessdate= 2013-12-01}}</ref> Namun, pada tahun 1902 ''Theological Quarterly'', A. L. Graebner menyatakan bahwa sinode itu tidak mempunyai posisi doktrinal terhadap geosentrisme, heliosentrisme, atau model ilmiah lainnya, kecuali kalau itu bertolak belakang dengan [[Alkitab]]. Ia menyatakan pula bahwa deklarasi apapun yang dikemukakan para penganut geosentrisme di dalam sinode bukan merupakan pendapat badan gereja secara keseluruhan.<ref name= "Graebner1902">{{cite journal |title= Science and the church |journal= Theological Quarterly |first= A. L. |last= Graebner |pages= [http://books.google.com/books?id=cxsRAAAAIAAJ&pg=PA37 37–45] |year= 1902 |publisher= Lutheran Synod of Missouri, Ohio and other states, Concordia Publishing |location= St. Louis, MO |volume= 6}}</ref>
Articles arguing that geocentrism was the biblical perspective appeared in some early [[creation science]] newsletters associated with the [[Creation Research Society]] pointing to some passages in the [[Bible]], which, when taken literally, indicate that the daily apparent motions of the Sun and the Moon are due to their actual motions around the Earth rather than due to the rotation of the Earth about its axis for example, [[Book of Joshua|Joshua]] 10:12 where the Sun and Moon are said to stop in the sky, and [[Book of Psalms|Psalms]] 93:1 where the world is described as immobile.<ref name= "Numbers1993"/> Contemporary advocates for such [[religious belief]]s include [[Robert Sungenis]] (president of [[Bellarmine Theological Forum]] and author of the 2006 book ''Galileo Was Wrong'').<ref name= "Sefton2006"/> These people subscribe to the view that a plain reading of the Bible contains an accurate account of the manner in which the universe was created and requires a geocentric worldview. Most contemporary [[creationist]] organizations reject such perspectives.{{refn|group=n|Donald B. DeYoung, for example, states that "Similar terminology is often used today when we speak of the sun's rising and setting, even though the earth, not the sun, is doing the moving. Bible writers used the 'language of appearance,' just as people always have. Without it, the intended message would be awkward at best and probably not understood clearly. When the Bible touches on scientific subjects, it is entirely accurate."<ref>{{cite web |last= DeYoung |first= Donald B. |date= 1997-11-05 |title= Astronomy and the Bible: Selected questions and answers excerpted from the book |url=http://www.answersingenesis.org/Docs/399.asp |accessdate= 2013-12-01 |publisher= Answers in Genesis}}</ref>}}
 
Artikel-artikel yang mendukung geosentrisme sebagai pandangan Alkitab muncul pada sejumlah surat kabar sains penciptaan yang berhubungan dengan [[Creation Research Society]]. Umumnya menunjuk kepada beberapa nas [[Alkitab]], yang secara harfiah mengindikasikan pergerakan harian Matahari dan Bulan yang dapat diamati mengelilingi Bumi, bukan karena rotasi Bumi pada aksisnya, misalnya pada {{Alkitab|Yosua 10:12}} di mana Matahari dan Bulan dikatakan berhenti di langit, dan {{Alkitab|Mazmur 93:1}} di mana dunia digambarkan tidak bergerak..<ref name= "Numbers1993">{{cite book |title= The Creationists: The Evolution of Scientific Creationism |publisher= University of California Press |last= Numbers |first= Ronald L. |authorlink= Ronald L. Numbers |year= 1993 |page= 237 |isbn= 0520083938}}</ref> Para pendukung kontemporer kepercayaan agamawi itu termasuk [[Robert Sungenis]] (presiden dari[[Bellarmine Theological Forum]] dan pengarang buku terbitan tahun 2006 ''Galileo Was Wrong'' (Galileo keliru)).<ref name= "Sefton2006">{{cite news |url= http://news.google.com/newspapers?id=_1kaAAAAIBAJ&sjid=XCYEAAAAIBAJ&dq=robert-sungenis&pg=6714%2C4991566 |title= In this world view, the sun revolves around the earth |first= Dru |last= Sefton |newspaper= [[Times-News (Hendersonville, North Carolina)|Times-News]] |location= Hendersonville, NC |date= 2006-03-30 |page= 5A}}</ref> Orang-orang ini mengajarkan pandangan bahwa pembacaan langsung Alkitab memuat kisah akurat bagaimana alam semesta diciptakan dan membutuhkan pandangan geosentrik. Kebanyakan organisasi kreasionis kontemporer menolak pandangan ini.{{refn|group=n|Donald B. DeYoung, misalnya, menyatakan bahwa "Similar terminology is often used today when we speak of the sun's rising and setting, even though the earth, not the sun, is doing the moving. Bible writers used the 'language of appearance,' just as people always have. Without it, the intended message would be awkward at best and probably not understood clearly. When the Bible touches on scientific subjects, it is entirely accurate."<ref>{{cite web |last= DeYoung |first= Donald B. |date= 1997-11-05 |title= Astronomy and the Bible: Selected questions and answers excerpted from the book |url=http://www.answersingenesis.org/Docs/399.asp |accessdate= 2013-12-01 |publisher= Answers in Genesis}}</ref>}}
 
{{quote|After all, Copernicanism was the first major victory of science over religion, so it's inevitable that some folks would think that everything that's wrong with the world began there. (Steven Dutch of the [[University of Wisconsin–Madison]] <ref>[http://www.uwgb.edu/dutchs/PSEUDOSC/Geocentrism.HTM Geocentrism lives]</ref>}}
[[Morris Berman]] quotesmengutip surveybahwa resultshasil thatsurvei showmenyatakan currentlysaat someini sekitar 20% ofpenduduk theAmerika U.S.Serikat populationpercaya believebahwa thatmatahari themengitari sunbumi goes(geosentrisme) aroundbukan thebumi Earthmengitari matahari (geocentricismheliosentrisme), rathersementara than9% themengatakan Earthtidak goestahu.<ref aroundname="Berman2006">{{cite thebook sun|last= (heliocentricism),Berman while|first= aMorris further|authorlink= 9%Morris claimedBerman not|title= toDark knowAges America: The Final Phase of Empire |year= 2006 |publisher= W.W.<ref nameNorton & Company |isbn= "Berman2006"9780393058666}}</ref> PollsBeberapa conductedpoll yang dilakukan byoleh [[The Gallup Organization|Gallup]] inpada thetahun 1990s1990-an foundmendapati thatbahwa 16% oforang GermansJermans, 18% oforang AmericansAmerika anddan 19% oforang Britons hold thatInggris/Britania theRaya Sunpercaya revolvesbahwa aroundMatahari themengitari EarthBumi.<ref name= "Crabtree1999">{{cite web |url= http://www.gallup.com/poll/3742/new-poll-gauges-americans-general-knowledge-levels.aspx |title= New Poll Gauges Americans' General Knowledge Levels |first= Steve |last= Crabtree |publisher= [[The Gallup Organization|Gallup]] |date= 1999-07-06}}</ref> ASuatu studystudi conductedyang indilakukan pada tahun 2005 byoleh Jon D. Miller ofdari [[Northwestern University]], anseorang expertpakar inpemahaman thepublik publicakan understandingsains of science anddan technologyteknologi,<ref name= "MillerBio"/>{{cite foundweb that|url= abouthttp://www.cmb.northwestern.edu/faculty/jon_miller.htm 20%,|title= orJon oneD. inMiller five|work= Northwestern University website |accessdate= 2007-07-19}}</ref> mendapati sekitar 20%, ofatau Americanseperlima, adultsorang believedewasa thatAmerika thepercaya Sunbahwa orbitsMatahari themengitari EarthBumi.<ref name= "Dean2005">{{cite news |url= http://www.nytimes.com/2005/08/30/science/30profile.html?ex=1184990400&en=2fb126c3132f89ae&ei=5070 |title=Scientific savvy? In U.S., not much |first= Cornelia |last= Dean |date= 2005-08-30 |newspaper= New York Times |accessdate= 2007-07-19}}</ref> AccordingMenurut topoll tahun 2011 oleh [[VTSIOM]] poll, 32% oforang [[RussiansRussia]] believe that thepercaya Sunbahwa orbitsMatahari themengitari EarthBumi.<ref name= "RussianStudy2011">{{citation |url= http://wciom.ru/index.php?id=459&uid=111345 |title= 'СОЛНЦЕ - СПУТНИК ЗЕМЛИ', ИЛИ РЕЙТИНГ НАУЧНЫХ ЗАБЛУЖДЕНИЙ РОССИЯН |trans_title= 'Sun-earth', or rating scientific fallacies of Russians |issue= Пресс-выпуск №1684 <nowiki>[</nowiki>Press release no. 1684<nowiki>]</nowiki> |date= 2011-02-08 |language= ru |publisher= ВЦИОМ <nowiki>[</nowiki>[[VTSIOM|All-Russian Center for the Study of Public Opinion]]<nowiki>]</nowiki> |postscript= .}}</ref>
 
=== Posisi historis hierarki Katolik Roma ===
The famous [[Galileo affair]] pittedyang theterkenal geocentricmenghadapkan model againstgeosentrik thedengan claims ofpernyataan [[Galileo]]. InMengenai regardsbasis toteologi thedari theologicalargumen basissemacam for such an argumentitu, two Popes addressed the questiondua oforang whetherPaus themembahas usepertanyaan ofapakah phenomenologicalpenggunaan languagebahasa wouldfenomenologi compel(berdasarkan onepengamatan) toakan admitmemaksa anorang errormengakui inkesalahan ScriptureAlkitab. BothKeduanya taughtmengajarkan thatbahwa ittidak woulddemikian nothalnya. <!--[[Pope Leo XIII]] wrote:
 
:we have to contend against those who, making an evil use of physical science, minutely scrutinize the Sacred Book in order to detect the writers in a mistake, and to take occasion to vilify its contents. . . . There can never, indeed, be any real discrepancy between the theologian and the physicist, as long as each confines himself within his own lines, and both are careful, as St. Augustine warns us, "not to make rash assertions, or to assert what is not known as known." If dissension should arise between them, here is the rule also laid down by St. Augustine, for the theologian: "Whatever they can really demonstrate to be true of physical nature, we must show to be capable of reconciliation with our Scriptures; and whatever they assert in their treatises which is contrary to these Scriptures of ours, that is to Catholic faith, we must either prove it as well as we can to be entirely false, or at all events we must, without the smallest hesitation, believe it to be so." To understand how just is the rule here formulated we must remember, first, that the sacred writers, or to speak more accurately, the Holy Ghost "Who spoke by them, did not intend to teach men these things (that is to say, the essential nature of the things of the visible universe), things in no way profitable unto salvation." Hence they did not seek to penetrate the secrets of nature, but rather described and dealt with things in more or less figurative language, or in terms which were commonly used at the time, and which in many instances are in daily use at this day, even by the most eminent men of science. Ordinary speech primarily and properly describes what comes under the senses; and somewhat in the same way the sacred writers-as the Angelic Doctor also reminds us – `went by what sensibly appeared," or put down what God, speaking to men, signified, in the way men could understand and were accustomed to. ([[Providentissimus Deus]] 18).
Baris 166 ⟶ 167:
<ref name= "Dallal1999">{{cite book |first= Ahmad |last= Dallal |year= 1999 |chapter= Science, Medicine and Technology |title= The Oxford History of Islam |page= 171 |editor-first= John |editor-last= Esposito |editor-link= John Esposito |location= New York |publisher= [[Oxford University Press]]}}</ref>
<ref name= "Guessoun2008">{{cite journal |last= Guessoum |first= N. |date=June 2008 |title= Copernicus and Ibn Al-Shatir: Does the Copernican revolution have Islamic roots? |journal= The Observatory |volume= 128 |pages= 231–9}}</ref>
 
<ref name= "Ragep2001a">{{Cite journal |last= Ragep |first= F. Jamil |year= 2001 |title= Tusi and Copernicus: The Earth's motion in context |journal= Science in Context |volume= 14 |issue= 1-2 |pages= 145–163 |publisher= [[Cambridge University Press]]}}</ref>
<ref name= "Ragep2001b">{{Cite journal |last= Ragep |first= F. Jamil |year= 2001 |title= Freeing astronomy from philosophy: An aspect of Islamic influence on science |journal= Osiris |series= 2nd Series |volume= 16 |issue= Science in Theistic Contexts: Cognitive Dimensions |pages= 49–64, 66–71 |doi=10.1086/649338}}</ref>
<ref name="Huff2003">{{cite book |last= Huff |first= Toby E. |title= The Rise of Early Modern Science: Islam, China and the West |year= 2003 |publisher= Cambridge University Press |isbn= 9780521529945 |page= [http://books.google.com/books?id=DA3fkX5wQMUC&pg=PA58 58]}}</ref>
<ref name="KirmaniSingh2005">{{cite book |last1= Kirmani |first1= M. Zaki |last2= Singh |first2= Nagendra Kr |title= Encyclopaedia of Islamic Science and Scientists: A-H |year= 2005 |publisher= Global Vision | isbn=9788182200586}}</ref>
<ref name= "JohansenRosenmeier1998">{{cite book |first1= K. F. |last1=Johansen |first2= H. |last2= Rosenmeier |title= A History of Ancient Philosophy: From the Beginnings to Augustine |year= 1998 |page= 43}}</ref>
<ref name= "Sarton1953">{{cite book |first= George |last= Sarton |title= Ancient Science Through the Golden Age of Greece |year= 1953 |page= 290}}</ref>
Baris 176 ⟶ 174:
<ref name= "Russell1945">{{cite book |last= Russell |first= Bertrand |authorlink= Bertrand Russell |title= [[A History of Western Philosophy]] |origyear= 1945 |year= 2013 |publisher= Routledge |page= 215 |isbn= 9781134343676}}</ref>
<ref name= "Densmore2004">{{cite book |title= Selections from Newton's Principia |editor-first= Dana |editor-last= Densmore |publisher= Green Lion Press |year= 2004 |page= 12}}</ref>
<ref name= "Babinski1995">{{cite journal |editor-last= Babinski |editor-first= E. T. |journal= Cretinism of Evilution |issue= 2 |title= Excerpts from Frank Zindler's 'Report from the center of the universe' and 'Turtles all the way down' |url= http://www.talkorigins.org/faqs/ce/2/part3.html |publisher= [[TalkOrigins Archive]] |year= 1995 |accessdate= 2013-12-01}}</ref>
<ref name= "Graebner1902">{{cite journal |title= Science and the church |journal= Theological Quarterly |first= A. L. |last= Graebner |pages= [http://books.google.com/books?id=cxsRAAAAIAAJ&pg=PA37 37–45] |year= 1902 |publisher= Lutheran Synod of Missouri, Ohio and other states, Concordia Publishing |location= St. Louis, MO |volume= 6}}</ref>
<ref name= "Numbers1993">{{cite book |title= The Creationists: The Evolution of Scientific Creationism |publisher= University of California Press |last= Numbers |first= Ronald L. |authorlink= Ronald L. Numbers |year= 1993 |page= 237 |isbn= 0520083938}}</ref>
<ref name= "Sefton2006">{{cite news |url= http://news.google.com/newspapers?id=_1kaAAAAIBAJ&sjid=XCYEAAAAIBAJ&dq=robert-sungenis&pg=6714%2C4991566 |title= In this world view, the sun revolves around the earth |first= Dru |last= Sefton |newspaper= [[Times-News (Hendersonville, North Carolina)|Times-News]] |location= Hendersonville, NC |date= 2006-03-30 |page= 5A}}</ref>
<ref name="Berman2006">{{cite book |last= Berman |first= Morris |authorlink= Morris Berman |title= Dark Ages America: The Final Phase of Empire |year= 2006 |publisher= W.W. Norton & Company |isbn= 9780393058666}}</ref>
<ref name= "Crabtree1999">{{cite web |url= http://www.gallup.com/poll/3742/new-poll-gauges-americans-general-knowledge-levels.aspx |title= New Poll Gauges Americans' General Knowledge Levels |first= Steve |last= Crabtree |publisher= [[The Gallup Organization|Gallup]] |date= 1999-07-06}}</ref>
<ref name= "MillerBio">{{cite web |url= http://www.cmb.northwestern.edu/faculty/jon_miller.htm |title= Jon D. Miller |work= Northwestern University website |accessdate= 2007-07-19}}</ref>
<ref name= "Dean2005">{{cite news |url= http://www.nytimes.com/2005/08/30/science/30profile.html?ex=1184990400&en=2fb126c3132f89ae&ei=5070 |title=Scientific savvy? In U.S., not much |first= Cornelia |last= Dean |date= 2005-08-30 |newspaper= New York Times |accessdate= 2007-07-19}}</ref>
<ref name="Nussbaum2007">{{Cite journal |url= http://www.skeptic.com/the_magazine/featured_articles/v12n03_orthodox_judaism_and_evolution.html |title= Orthodox Jews & science: An empirical study of their attitudes toward evolution, the fossil record, and modern geology |accessdate= 2008-12-18 |last= Nussbaum |first= Alexander |date= 2007-12-19 |journal= Skeptic Magazine}}</ref>
<ref name= "Nussbaum2002">{{cite journal |first= Alexander |last= Nussbaum |title= Creationism and geocentrism among Orthodox Jewish scientists |journal= Reports of the National Center for Science Education |date=January–April 2002 |pages= 38–43}}</ref>
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{{DEFAULTSORT:Geocentric Model}}
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