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Ronald Jensen - Wikipedia
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<div id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">American mathematician (born 1936)</div> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Ronald Jensen</div></th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/File:RJensen.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/RJensen.jpg/200px-RJensen.jpg" decoding="async" width="200" height="150" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/RJensen.jpg/300px-RJensen.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/RJensen.jpg/400px-RJensen.jpg 2x" data-file-width="3648" data-file-height="2736" /></a></span><div class="infobox-caption">Jensen giving a lecture in 2007</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none"> (<span class="bday">1936-04-01</span>) </span>April 1, 1936<span class="noprint ForceAgeToShow"> (age 88)</span></td></tr><tr><th scope="row" class="infobox-label">Nationality</th><td class="infobox-data category">American</td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Bonn" title="University of Bonn">University of Bonn</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Axiomatic_Set_Theory" class="mw-redirect" title="Axiomatic Set Theory">Set theory</a>, <a href="/wiki/Mathematical_logic" title="Mathematical logic">mathematical logic</a></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Mathematician" title="Mathematician">Mathematician</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Humboldt_University_of_Berlin" title="Humboldt University of Berlin">Humboldt University of Berlin</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data">Gisbert Hasenjaeger</td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><a href="/wiki/Adrian_Mathias" title="Adrian Mathias">Adrian Mathias</a><br /><a href="/wiki/Benedikt_L%C3%B6we" title="Benedikt Löwe">Benedikt Löwe</a></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Ronald Björn Jensen</b> (born April 1, 1936) is an American <a href="/wiki/Mathematician" title="Mathematician">mathematician</a> who lives in Germany, primarily known for his work in <a href="/wiki/Mathematical_logic" title="Mathematical logic">mathematical logic</a> and <a href="/wiki/Set_theory" title="Set theory">set theory</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Career">Career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=1" title="Edit section: Career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Jensen completed a BA in <a href="/wiki/Economics" title="Economics">economics</a> at <a href="/wiki/American_University" title="American University">American University</a> in 1959, and a Ph.D. in <a href="/wiki/Mathematics" title="Mathematics">mathematics</a> at the <a href="/wiki/University_of_Bonn" title="University of Bonn">University of Bonn</a> in 1964. His supervisor was <a href="/wiki/Gisbert_Hasenjaeger" title="Gisbert Hasenjaeger">Gisbert Hasenjaeger</a>. Jensen taught at <a href="/wiki/Rockefeller_University" title="Rockefeller University">Rockefeller University</a>, 1969–71, and the <a href="/wiki/University_of_California,_Berkeley" title="University of California, Berkeley">University of California, Berkeley</a>, 1971–73. The balance of his academic career was spent in Europe at the <a href="/wiki/University_of_Bonn" title="University of Bonn">University of Bonn</a>, the <a href="/wiki/University_of_Oslo" title="University of Oslo">University of Oslo</a>, the <a href="/wiki/Albert_Ludwigs_University_of_Freiburg" class="mw-redirect" title="Albert Ludwigs University of Freiburg">University of Freiburg</a>, the <a href="/wiki/University_of_Oxford" title="University of Oxford">University of Oxford</a>, and the <a href="/wiki/Humboldt-Universit%C3%A4t_zu_Berlin" class="mw-redirect" title="Humboldt-Universität zu Berlin">Humboldt-Universität zu Berlin</a>, from which he retired in 2001. He now resides in <a href="/wiki/Berlin" title="Berlin">Berlin</a>. </p><p>Jensen was honored by the <a href="/wiki/Association_for_Symbolic_Logic" title="Association for Symbolic Logic">Association for Symbolic Logic</a> as the first <a href="/wiki/G%C3%B6del_Lecture" title="Gödel Lecture">Gödel Lecturer</a> in 1990.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> In 2015, the European Set Theory Society awarded him and <a href="/wiki/John_R._Steel" title="John R. Steel">John R. Steel</a> the <a href="/wiki/Hausdorff_Medal" title="Hausdorff Medal">Hausdorff Medal</a> for their paper "K without the measurable". </p> <div class="mw-heading mw-heading2"><h2 id="Results">Results</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=2" title="Edit section: Results"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Jensen's better-known results include the: </p> <ul><li><a href="/wiki/Axiomatic_set_theory" class="mw-redirect" title="Axiomatic set theory">Axiomatic set theory</a> <a href="/wiki/New_Foundations" title="New Foundations">NFU</a>, a variant of <a href="/wiki/New_Foundations" title="New Foundations">New Foundations</a> (NF) where <a href="/wiki/Axiom_of_extensionality" title="Axiom of extensionality">extensionality</a> is weakened to allow several sets with no elements, and the proof of NFU's <a href="/wiki/Consistency" title="Consistency">consistency</a> relative to <a href="/wiki/Peano_arithmetic" class="mw-redirect" title="Peano arithmetic">Peano arithmetic</a>;</li> <li>Fine structure theory of the <a href="/wiki/Constructible_universe" title="Constructible universe">constructible universe</a> <b>L</b>. This work led to his being awarded in 2003 the <a href="/wiki/Leroy_P_Steele_Prize" class="mw-redirect" title="Leroy P Steele Prize">Leroy P. Steele Prize for Seminal Contribution to Research</a> of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a> for his 1972 paper titled "The fine structure of the constructible hierarchy";</li> <li>Definitions and proofs of various <a href="/wiki/Infinitary_combinatorics" title="Infinitary combinatorics">infinitary combinatorial principles</a> in <b>L</b>, including <a href="/wiki/Diamondsuit" class="mw-redirect" title="Diamondsuit">diamond</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \diamondsuit }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi mathvariant="normal">♢<!-- ♢ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \diamondsuit }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ec4b9f727c53c7a5146318355922aa861e1c6804" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.808ex; height:2.676ex;" alt="{\displaystyle \diamondsuit }"></span>, <a href="/wiki/Global_square" class="mw-redirect" title="Global square">square</a>, and <a href="/wiki/Morass_(set_theory)" title="Morass (set theory)">morass</a>;</li> <li><a href="/wiki/Jensen%27s_covering_theorem" title="Jensen's covering theorem">Jensen's covering theorem</a> for <b>L</b>;</li> <li>General theory of <a href="/wiki/Core_model" title="Core model">core models</a> and the construction of the <a href="/w/index.php?title=Dodd%E2%80%93Jensen_core_model&action=edit&redlink=1" class="new" title="Dodd–Jensen core model (page does not exist)">Dodd–Jensen core model</a>;</li> <li>Consistency of the <a href="/wiki/Continuum_hypothesis" title="Continuum hypothesis">continuum hypothesis</a> plus <a href="/wiki/Suslin%27s_hypothesis" class="mw-redirect" title="Suslin's hypothesis">Suslin's hypothesis</a>.</li> <li>Technique of <a href="/w/index.php?title=Coding_the_universe_by_a_real&action=edit&redlink=1" class="new" title="Coding the universe by a real (page does not exist)">coding the universe by a real</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Selected_publications">Selected publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=3" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Articles">Articles</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=4" title="Edit section: Articles"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Ronald Jensen, 1969, « On the Consistency of a Slight(?) Modification of Quine's NF », <i>Synthese 19</i>: 250–263. With discussion by Quine. <style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2FBF00568059">10.1007/BF00568059</a></li> <li>The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol 4, Issue 3, August 1972, pp. 229–308 <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2F0003-4843%2872%2990001-0">10.1016/0003-4843(72)90001-0</a></li> <li>with Anthony J. Dodd: The core model, Annals of Mathematical Logic, vol 20, 1981, pp. 43–75. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2F0003-4843%2881%2990011-5">10.1016/0003-4843(81)90011-5</a></li> <li>with Anthony J. Dodd: The covering lemma for K, Annals of Mathematical Logic, vol 22, 1982, pp. 1–30. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2F0003-4843%2882%2990013-4">10.1016/0003-4843(82)90013-4</a></li> <li>Inner models and large cardinals. <a href="/wiki/Bulletin_of_Symbolic_Logic" class="mw-redirect" title="Bulletin of Symbolic Logic">Bulletin of Symbolic Logic</a> vol 1, Issue 4 (1995): 393-407. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F421129">10.2307/421129</a></li> <li>with John R. Steel: <i>K without the measurable</i>, The Journal of Symbolic Logic, vol 78, Issue 3, 2013, pp. 708–734. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2178%2Fjsl.7803020">10.2178/jsl.7803020</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Books">Books</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=5" title="Edit section: Books"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i>Modelle der Mengenlehre. Widerspruchsfreiheit und Unabhängigkeit der Kontinuumshypothese und des Auswahlaxioms.</i> (Lecture Notes in Mathematics; vol. 37). Springer, Berlin 1967.</li> <li>as editor with Alexander Pestel: Set theory and model theory: proceedings of an informal symposium held at Bonn, June 1–3, 1979. Berlin; New York: Springer-Verlag, 1981.</li> <li>with Aaron Beller and Philip Welch: <a rel="nofollow" class="external text" href="https://books.google.com/books?id=IBHkbaibP4EC"><i>Coding the Universe.</i></a> Cambridge University Press, Cambridge 1982, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-521-28040-0" title="Special:BookSources/0-521-28040-0">0-521-28040-0</a>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKechris1991" class="citation journal cs1">Kechris, Alexander S. (1991). <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2274945">"Annual Meeting of the Association for Symbolic Logic: Berkeley, 1990"</a>. <i><a href="/wiki/The_Journal_of_Symbolic_Logic" class="mw-redirect" title="The Journal of Symbolic Logic">The Journal of Symbolic Logic</a></i>. <b>56</b> (1): 361–371. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2274945">10.2307/2274945</a>. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0022-4812">0022-4812</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2274945">2274945</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:98210">98210</a>. <q>Moreover, the Gödel Lecture, a new feature of the ASL Annual Meetings, was inaugurated this year. The first Gödel lecture was given by Ronald Jensen, who spoke on <i>Inner Models and Large Cardinals.</i></q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=The+Journal+of+Symbolic+Logic&rft.atitle=Annual+Meeting+of+the+Association+for+Symbolic+Logic%3A+Berkeley%2C+1990&rft.volume=56&rft.issue=1&rft.pages=361-371&rft.date=1991&rft.issn=0022-4812&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A98210%23id-name%3DS2CID&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2274945%23id-name%3DJSTOR&rft_id=info%3Adoi%2F10.2307%2F2274945&rft.aulast=Kechris&rft.aufirst=Alexander+S.&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2274945&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARonald+Jensen" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMitchell,_William_J.1983" class="citation journal cs1">Mitchell, William J. (1983). <a rel="nofollow" class="external text" href="https://projecteuclid.org/euclid.bams/1183550137">"Review: <i>Coding the universe</i> by A. Beller, R. B. Jensen and P. Welch"</a>. <i>Bull. Amer. Math. Soc. (N.S.)</i>. <b>8</b> (2): 350–353. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1090%2Fs0273-0979-1983-15117-0">10.1090/s0273-0979-1983-15117-0</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bull.+Amer.+Math.+Soc.+%28N.S.%29&rft.atitle=Review%3A+Coding+the+universe+by+A.+Beller%2C+R.+B.+Jensen+and+P.+Welch&rft.volume=8&rft.issue=2&rft.pages=350-353&rft.date=1983&rft_id=info%3Adoi%2F10.1090%2Fs0273-0979-1983-15117-0&rft.au=Mitchell%2C+William+J.&rft_id=https%3A%2F%2Fprojecteuclid.org%2Feuclid.bams%2F1183550137&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARonald+Jensen" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Ronald_Jensen&action=edit&section=7" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Jensen's <a rel="nofollow" class="external text" href="https://www.mathematik.hu-berlin.de/~raesch/org/jensen.html">page</a> at the <a href="/wiki/Humboldt-Universit%C3%A4t_zu_Berlin" class="mw-redirect" title="Humboldt-Universität zu Berlin">Humboldt-Universität zu Berlin</a>.</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20060208041459/http://kgs.logic.at/index.php?id=42">Brief biographies</a> of past presidents of the <a href="/wiki/Kurt_G%C3%B6del_Society" title="Kurt Gödel Society">Kurt Gödel Society</a>.</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output 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style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/1103059513">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n81066907">United States</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Jensen, Ronald Björn"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=uk20201095867&CON_LNG=ENG">Czech Republic</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p068554265">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007358016105171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=24581">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:jensen.ronald-bjorn">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/94440">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-digitale-bibliothek.de/person/gnd/1103059513">DDB</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/082825300">IdRef</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐d465dfd78‐qm8hf Cached time: 20241126131301 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.421 seconds Real time usage: 0.706 seconds Preprocessor visited node count: 2586/1000000 Post‐expand include size: 27142/2097152 bytes Template argument size: 2869/2097152 bytes Highest expansion depth: 14/100 Expensive parser function count: 1/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 31688/5000000 bytes Lua time usage: 0.298/10.000 seconds Lua memory usage: 5484049/52428800 bytes Number of Wikibase entities loaded: 1/400 --> <!-- Transclusion expansion time 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