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Pruss, Infinitesimals are too small for countably infinite fair lotteries - PhilPapers"/> <meta property="og:description" content="We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery "/> <meta property="fb:app_id" content="315507632137867"/> <meta property="og:type" content="website"/> <meta property="og:image" content="https://web.archive.org/web/20210828010236im_/https://philpapers.org/assets/raw/philpeople250.png"/> <meta property="og:url" content="https://web.archive.org/web/20210828010236/https://philpapers.org/rec/PRUIAT-2"/> <meta name="citation_title" content="Infinitesimals are too small for countably infinite fair lotteries"> <meta name="citation_publication_date" content="2014"> <meta name="citation_format_txt" content=" Pruss, Alexander R. (2014). Infinitesimals are too small for countably infinite fair lotteries. _Synthese_ 191 (6):1051-1057. 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id="rec" itemscope itemtype="http://schema.org/Article"> <div class="flex"> <h1 class="recTitle" itemprop="name" style="flex-grow: 1"><a rel="nofollow" href="https://web.archive.org/web/20210828010236/https://philpapers.org/go.pl?id=PRUIAT-2&proxyId=&u=http%3A%2F%2Flink.springer.com%2Fcontent%2Fpdf%2F10.1007%252Fs11229-013-0307-z.pdf">Infinitesimals are too small for countably infinite fair lotteries</a></h1> </div> <div class="rec-main"> <div class="recAuthors"> <a class="discreet" title="View other works by Alexander R. Pruss" href="/web/20210828010236/https://philpapers.org/s/Alexander R.%20Pruss"><span class="name" itemprop="author">Alexander R. Pruss</span></a> </div> <div class="recPubInfo" style="display:flex;align-items:center"> <div> <em class="pubName"><a class="discreet" href="https://web.archive.org/web/20210828010236/https://philpapers.org/asearch.pl?pub=1066">Synthese</a></em> 191 (6):1051-1057 (<span itemprop="copyrightYear">2014</span>) <span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3A&journal&atitle=Infinitesimals%20are%20too%20small%20for%20countably%20infinite%20fair%20lotteries&issue=6&date=2014&jtitle=Synthese&aulast=Pruss&genre=article&volume=191&aufirst=Alexander"></span> </div> </div> <div div class="philstar-components entry-buttons-container"> <div> <like-button token="" source_id="610272" source_type="Philpapers::Publication" login_path="/login"> </like-button> </div> <div> <recommend-button token="" source_id="610272" source_type="Philpapers::Publication" login_path="/login"/> </recommend-button> </div> <bookmark button_classes="is-primary is-outlined" token="" source_id="610272" source_type="Philpapers::Publication" login_path="/login"/> </bookmark> </div> <hr/> <table id="entry" class="responsive"> <tr> <td class="pp-label"> Authors </td> <td class="content"> <div id="profile-list" class="philstar-components"> <div class="profile-tab"> <div class="profile-tab__image"> <a href="https://web.archive.org/web/20210828010236/https://philpeople.org/profiles/alexander-r-pruss"> <img src="https://web.archive.org/web/20210828010236im_/https://philpeople.org/profiles/photo/27127/small"></img> </a> </div> <div class="profile-tab__content"> <a class="profile-link" href="https://web.archive.org/web/20210828010236/https://philpeople.org/profiles/alexander-r-pruss"> Alexander R. Pruss </a> <div class="affil"> Baylor University </div> </div> <div class="profile-tab__follow"> <follow-button token="" :relationship_id="null" :profile_id="27127" login_path="/login"/> </div> </div> </div> </td> </tr> <tr> <td class="pp-label"> Abstract </td> <td class="content" id="abstractElement"> <div itemprop="description"> We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery </div> </td> </tr> <tr> <td class="pp-label"> Keywords </td> <td class="content" itemprop="keywords"> <a href="/web/20210828010236/https://philpapers.org/s/Probability">Probability</a>  <a href="/web/20210828010236/https://philpapers.org/s/Infinity">Infinity</a>  <a href="/web/20210828010236/https://philpapers.org/s/Infinitesimals">Infinitesimals</a>  <a href="/web/20210828010236/https://philpapers.org/s/Regularity">Regularity</a> </td> </tr> <tr> <td class="pp-label"> Categories </td> <td class="content" itemprop="keywords" id="record-categories"> <div><a class="catName" href="/web/20210828010236/https://philpapers.org/browse/areas-of-mathematics" rel="section">Areas of Mathematics</a><span class="catIn"> in </span><a class="catArea" href="/web/20210828010236/https://philpapers.org/browse/philosophy-of-mathematics" rel="section">Philosophy of Mathematics</a></div> <div><a class="catName" href="/web/20210828010236/https://philpapers.org/browse/infinitesimals-and-probability" rel="section">Infinitesimals and Probability</a><span class="catIn"> in </span><a class="catArea" href="/web/20210828010236/https://philpapers.org/browse/philosophy-of-probability" rel="section">Philosophy of Probability</a></div> (<a class="ll" href="/web/20210828010236/https://philpapers.org/edit/PRUIAT-2#categorization">categorize this paper</a>) </td> </tr> <tr> <td class="pp-label"> ISBN(s) </td> <td class="content"> </td> </tr> <tr> <td class="pp-label"> DOI </td> <td class="content"> <a class="outLink" href="https://web.archive.org/web/20210828010236/https://philpapers.org/go.pl?id=PRUIAT-2&proxyId=&u=https%3A%2F%2Fdx.doi.org%2F10.1007%2Fs11229-013-0307-z" rel="nofollow" onclick="trackclick("PRUIAT-2",this.href,0);return true;">10.1007/s11229-013-0307-z</a></td> </tr> <tr> <td class="pp-label"> Options </td> <td class="content"> <div id="entryOptions" class="row"> <div class="col-md-4 col-sm-6 col-xs-12"> <div class="entry-option"> <img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/tango-full/16x16/categories/preferences-system.png"> <a title="Edit this entry" class="ll" href="/web/20210828010236/https://philpapers.org/edit/PRUIAT-2">Edit this record</a> </div> <div class="entry-option"> <img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/tango-full/16x16/actions/edit-copy.png"> <span title="Mark as duplicate" class="ll" onclick="window.location='/utils/duplicate.pl?eId=PRUIAT-2'">Mark as duplicate</span> </div> </div> <div class="col-md-4 col-sm-6 col-xs-12"> <div class="entry-option"> <div id="la-PRUIAT-2" title="Export to another format" class="yui-skin-sam ldiv"></div><img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/tango-full/16x16/actions/document-save.png"> <span class="ll" onclick="showExports('PRUIAT-2')">Export citation<img src="/web/20210828010236im_/https://philpapers.org/philpapers/raw/subind.gif"></span> </div> <div class="entry-option"> <img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/google.png"> <a title="Search on Google Scholar" href="https://web.archive.org/web/20210828010236/https://www.google.com/scholar?hl=en&lr=&q=Infinitesimals%20are%20too%20small%20for%20countably%20infinite%20fair%20lotteries+author%3APruss">Find it on Scholar</a> </div> </div> <div class="col-md-4 col-sm-6 col-xs-12"> <div class="entry-option"> <img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/tango-full/16x16/places/user-trash.png"> <span title="Request deletion from PhilPapers" class="ll" onclick="userDelete("PRUIAT-2")">Request removal from index</span> </div> <div class="entry-option"> <img class="texticon" src="/web/20210828010236im_/https://philpapers.org/assets/raw/icons/tango-full/16x16/actions/edit-find-replace.png"> <a href="/web/20210828010236/https://philpapers.org/utils/revisions.pl?eId=PRUIAT-2" rel="nofollow">Revision history</a> </div> </div> </div> </td> </tr> <tr> <td class=""></td> <td class=""> <div id="msg-PRUIAT-2"></div> </td> </tr> </table> <div class="flex"> <div> <h2>Download options</h2> <div class="download-options"><div class="row"> <div class="col-md-12 pp-label">PhilArchive copy</div> <div class="col-md-12 entry-tbl-content"> <div style="border:5px solid #ccc;padding:10px">  <script type="text/javascript"> document.write("This entry is not archived by us. 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