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What is computation?
Journal Synthese
Publisher Springer Netherlands
ISSN 0039-7857 (Print) 1573-0964 (Online)
... that have been made to the computational theory of mind.

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What is computation?

B. Jack CopelandContact Information

(1) Philosophy Department, University of Canterbury, Private Bag 4800, Christchurch, New Zealand

Abstract  To compute is to execute an algorithm. More precisely, to say that a device or organ computes is to say that there exists a modelling relationship of a certain kind between it and a formal specification of an algorithm and supporting architecture. The key issue is to delimit the phrase lsquoof a certain kindrsquo. I call this the problem of distinguishing between standard and nonstandard models of computation. The successful drawing of this distinction guards Turing's 1936 analysis of computation against a difficulty that has persistently been raised against it, and undercuts various objections that have been made to the computational theory of mind.

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<div class="primitiveControl"><table class="MPReader_Profiles_SpringerLink_Content_PrimitiveHeadingControl" cellpadding="0" cellspacing="0"><tbody><tr valign="top"><td><h2 class="MPReader_Profiles_SpringerLink_Content_PrimitiveHeadingControlName">What is computation? </h2><table cellpadding="0" cellspacing="0"> <tbody><tr> <td class="labelName">Journal</td><td class="labelValue"><a href="/content/103001/?p=4b77c50837b24c0a97ebd9c31b11be5d&amp;pi=0">Synthese</a></td> </tr><tr> <td class="labelName">Publisher</td><td class="labelValue">Springer Netherlands</td> </tr><tr> <td class="labelName">ISSN</td><td class="labelValue">0039-7857 (Print) 1573-0964 (Online)</td> </tr><tr> <td class="labelName">Issue</td><td class="labelValue"><a href="/content/r6w43w130657/?p=4b77c50837b24c0a97ebd9c31b11be5d&amp;pi=0">Volume 108, Number 3 / September, 1996</a></td> </tr><tr> <td class="labelName">DOI</td><td class="labelValue">10.1007/BF00413693</td> </tr><tr> <td class="labelName">Pages</td><td class="labelValue">335-359</td> </tr><tr> <td class="labelName">Subject Collection</td><td class="labelValue"><a href="/humanities-social-sciences-and-law/">Humanities, Social Sciences and Law</a></td> </tr><tr> <td class="labelName">SpringerLink Date</td><td class="labelValue">Thursday, November 11, 2004</td> </tr> </tbody></table></td><td rowspan="2" class="MPReader_Profiles_SpringerLink_Content_PrimitiveHeadingControlSecondaryLinks" valign="top"><div class="MPReader_Profiles_SpringerLink_Content_PrimitiveHeadingControlMarkedItemLink"> <a id="ctl00_PageHeadingContent_ctl00_ToggleMarkedItemLinkButton" href="/content/u005510gxl27q850/?mark=u005510gxl27q850" value="u005510gxl27q850" key="mark" onclickmethod="primitiveHeadingControl_markItem" onclick="return hyperLinkButton_onClick(event);" selectedtext="Remove from marked items" unselectedtext="Add to marked items"><span>Add to marked items</span></a> </div><div> <a href="/content/u005510gxl27q850/offerings/?p=4b77c50837b24c0a97ebd9c31b11be5d&amp;pi=0">Add to shopping cart</a> </div><div> <a href="/personalization/save-item.mpx?code=u005510gxl27q850">Add to saved items</a> </div><div> <a target="_blank" href="https://s100.copyright.com/AppDispatchServlet?publisherName=Springer&amp;imprint=Springer+Netherlands&amp;publication=0039-7857&amp;title=What+is+computation%3f&amp;publicationDate=09%2f01%2f1996&amp;author=B.+Jack+Copeland&amp;AuthorEmail=bjcopeland%40canterbury.ac.nz&amp;contentID=10.1007%2fBF00413693&amp;volumeNum=108&amp;issueNum=3&amp;startPage=335&amp;endPage=359&amp;orderBeanReset=true&amp;openAccess=false">Permissions &amp; Reprints</a> </div><div> <a href="/personalization/email-item.mpx?code=u005510gxl27q850&amp;p=4b77c50837b24c0a97ebd9c31b11be5d&amp;pi=0">Recommend this article</a> </div></td> </tr><tr> <td></td> </tr> </tbody></table> </div> <table cellpadding="0" cellspacing="4" height="100%"> <tbody><tr> <td class="defaultHeight" valign="top" width="100%"> <div class="mainPageContentHeading"> <div> <a class="MetaPress_Products_Reader_Web_UI_Controls_IconHyperlink" href="/content/u005510gxl27q850/fulltext.pdf"><img src="/images/common/spacer.gif" class="sprites pdfSprite" alt="" align="absmiddle">PDF (1.5 MB)</a><a class="MetaPress_Products_Reader_Web_UI_Controls_IconHyperlink" href="/content/u005510gxl27q850/fulltext.pdf?page=1"><img src="/images/common/spacer.gif" class="sprites pdfSprite" alt="Free Preview" align="absmiddle">Free Preview</a> </div> </div><div class="blob"> <p></p><div class="Heading1"><a name="title"></a>What is computation?</div><p class="AuthorGroup">B.&nbsp;Jack&nbsp;Copeland<sup>1&nbsp;<a href="#ContactOfAuthor1"><img alt="Contact Information" src="/images/contact.gif" border="0"></a></sup></p><table><tbody><tr valign="top"><td><span class="Affiliation"><a name="Aff1"></a>(1)&nbsp;</span></td><td><span class="Affiliation">Philosophy Department, University of Canterbury, Private Bag 4800, Christchurch, New Zealand</span></td></tr></tbody></table><p class="Affiliation"></p><div class="Abstract"><a name="Abs1"></a><span class="AbstractHeading">Abstract&nbsp;&nbsp;</span>To compute is to execute an algorithm. More precisely, to say that a device or organ computes is to say that there exists a modelling relationship of a certain kind between it and a formal specification of an algorithm and supporting architecture. The key issue is to delimit the phrase <img src="/content/u005510gxl27q850/xxlarge8216.gif" alt="lsquo" align="baseline" border="0">of a certain kind<img src="/content/u005510gxl27q850/xxlarge8217.gif" alt="rsquo" align="baseline" border="0">. I call this the problem of distinguishing between standard and nonstandard models of computation. The successful drawing of this distinction guards Turing's 1936 analysis of computation against a difficulty that has persistently been raised against it, and undercuts various objections that have been made to the computational theory of mind.</div></div></td></tr></tbody></table>