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Physical Computation Physical Computation A Mechanistic Account Gualtiero Piccinini 1 3 GreatClarendonStreet,Oxford,OX26DP, UnitedKingdom OxfordUniversityPressisadepartmentoftheUniversityofOxford. ItfurtherstheUniversity’sobjectiveofexcellenceinresearch,scholarship, andeducationbypublishingworldwide.Oxfordisaregisteredtrademarkof OxfordUniversityPressintheUKandincertainothercountries #GualtieroPiccinini2015 Themoralrightsoftheauthorhavebeenasserted FirstEditionpublishedin2015 Impression:1 Allrightsreserved.Nopartofthispublicationmaybereproduced,storedin aretrievalsystem,ortransmitted,inanyformorbyanymeans,withoutthe priorpermissioninwritingofOxfordUniversityPress,orasexpresslypermitted bylaw,bylicenceorundertermsagreedwiththeappropriatereprographics rightsorganization.Enquiriesconcerningreproductionoutsidethescopeofthe aboveshouldbesenttotheRightsDepartment,OxfordUniversityPress,atthe addressabove Youmustnotcirculatethisworkinanyotherform andyoumustimposethissameconditiononanyacquirer PublishedintheUnitedStatesofAmericabyOxfordUniversityPress 198MadisonAvenue,NewYork,NY10016,UnitedStatesofAmerica BritishLibraryCataloguinginPublicationData Dataavailable LibraryofCongressControlNumber:2014957194 ISBN 978–0–19–965885–5 Printedandboundby CPIGroup(UK)Ltd,Croydon,CR04YY LinkstothirdpartywebsitesareprovidedbyOxfordingoodfaithand forinformationonly.Oxforddisclaimsanyresponsibilityforthematerials containedinanythirdpartywebsitereferencedinthiswork. OUPCORRECTEDPROOF–FINAL,30/4/2015,SPi Contents Acknowledgements vii Introduction 1 1. TowardsanAccountofPhysicalComputation 4 2. MappingAccounts 16 3. SemanticAccounts 26 4. Pancomputationalism 51 5. FromFunctionalAnalysistoMechanisticExplanation 74 6. TheOntologyofFunctionalMechanisms 100 7. TheMechanisticAccount 118 8. PrimitiveComponentsofComputingMechanisms 152 9. ComplexComponentsofComputingMechanisms 162 10. DigitalCalculators 176 11. DigitalComputers 181 12. AnalogComputers 198 13. ParallelComputersandNeuralNetworks 206 14. InformationProcessing 225 15. TheBoldPhysicalChurch-TuringThesis 244 16. TheModestPhysicalChurch-TuringThesis 263 Epilogue: TheNatureofComputation 274 Appendix:Computability 277 Bibliography 287 Index 307 Acknowledgements I encountered the debate about the foundations of cognitive science when, as an undergraduateattheUniversityofTurin,Itookanintroductorycourseincognitive psychology taught by Bruno Bara. Those early wonderings eventually led to my Ph.D.dissertationattheUniversityofPittsburgh,andthentoastreamofpaperson computation and related topics. This book organizes, streamlines, revises, and systematizesmostofwhatI’vethoughtandpublishedabout concretecomputation. (Itleavesoutmyworkoncomputationaltheoriesofcognition.) I could not have gotten where I am without the help of my teachers, beginning with my parents and continuing all the way to my college and graduate school teachers.Incollege,thefollowingwereespeciallyinfluential:inphilosophy,Elisabetta Galeotti,DiegoMarconi,GianniVattimo,andCarloAugustoViano;inpsychology, Bruno Bara and Giuliano Geminiani. In graduate school, the following played importantrolesinmythinkingaboutcomputation:myadvisorPeterMachameras wellasNuelBelnap,RobertDaley(ComputabilityTheory),BardErmentrout(Com- putationalNeuroscience),JohnEarman,ClarkGlymour,PaulGriffiths,RickGrush, KenManders,JohnNorton,andMerrileeSalmon.Otherimportantteachersduring graduateschoolwereRobertBrandom,JoeCamp,AdolfGrünbaum,SusieJohnson (Theory of Mind), Pat Levitt (Systems Neuroscience), Jay McClelland (Cognitive Neuroscience), John McDowell, Ted McGuire, Robert Olby, Carl Olson (Cognitive Neuroscience),FritzRinger,LauraRuetsche,andRichmondThomason. Many people’s work shaped mine. On computation, the classic work of Alonzo Church, Kurt Go¨del, Stephen Kleene, Emil Post, and Alan Turing was paramount. On neural networks and their connection to digital computers, I learned the most fromWarrenMcCulloch,WalterPitts,JohnvonNeumann,andNorbertWiener.On analogcomputers,theworkofClaudeShannon,MarianPour-El,andLeeRubelwas crucial. On artificial intelligence and computational cognitivescience, Allen Newell and Herbert Simon had the largest impact. The canonical textbook on computer organizationanddesignbyDavidPattersonandJohnHennessyconfirmedmyearly hunchthatcomputationalexplanationismechanisticandhelpedmearticulateit.On the philosophy of computation, I found most helpful the works of Jack Copeland, RobertCummins,DanielDennett,FrancesEgan,JerryFodor,JustinGarson,Gilbert Harman, John Haugeland, Zenon Pylyshyn, Oron Shagrir, Wilfried Sieg, and Ste- phen Stich. On information, Fred Drestke and Claude Shannon were most signifi- cant. On functions, Christopher Boorse and Ruth Millikan made the biggest difference.Onmechanisms,IwasmostinfluencedbyCarlCraver,LindleyDarden, PeterMachamer,andWilliamWimsatt.Ongeneralmetaphysics,JohnHeilandthe NEHSummerSeminarhedirectedhelpedmeanenormousamount. viii ACKNOWLEDGEMENTS Theworkthatgoesintothisbookhasbenefitedfromsomanyinteractionswithso many people over such a long time—including audiences at many talks—that I cannot hope to remember everyone who played a role. I apologize in advance to those I forget. Here arethose Iremember as most helpful:Darren Abramson,Fred Adams, Neal Anderson, Ken Aizawa, Sonya Bahar, Mark Balaguer, Bill Bechtel, Kenny Boyce, Dave Chalmers, Mark Collier, Carl Craver, Jack Copeland, Martin Davis,DanielDennett,MichaelDickson,EliDresner,FrancesEgan,ChrisEliasmith, IlkeErcan,CarrieFigdor,JerryFodor,FlorentFranchette,NirFresco,JustinGarson, CarlGillett,RobertGordon,SabrinaHaimovici,GilbertHarman,JohnHeil,Alberto Herna´ndez, David M. Kaplan, Saul Kripke, Fred Kroon, Bill Lycan, Corey Maley, Marcin Milkowski, Jonathan Mills, Alex Morgan, Toby Ord, Anya Plutynski, Tom Polger, Hilary Putnam, Michael Rabin, Michael Rescorla, Brendan Ritchie, Brad Rives, Martin Roth, Anna-Mari Rusanen, Dan Ryder, Andrea Scarantino, Matthias Scheutz,SusanSchneider,SamScott,LarryShapiro,RebeccaSkloot,MarkSprevak, OronShagrir,StuartShapiro,DoronSwade,Wilfried Sieg,EricThomson,Brandon Towl,RayTurner,DanWeiskopf,andJulieYoo. Special thanks to Mark Sprevak, the members of the reading group he ran on a previous version of the manuscript, and an anonymous referee for OUP for their extremelyhelpfulfeedback.ThankstoPeterMomtchiloff,myeditoratOUP,forhis help,patience,andsupport. Chapters 1–4 are indebted to G. Piccinini, “Computation in Physical Systems,” TheStanfordEncyclopediaofPhilosophy(Fall2010Edition),EdwardN.Zalta(ed.), URL=http://plato.stanford.edu/archives/fall2010/entries/computation-physicalsystems/ Chapter1 is indebted to G. Piccinini, “Computing Mechanisms,” Philosophy of Science,74.4(2007),501–26. Chapter3 is indebted to G. Piccinini, “Computation without Representation,” PhilosophicalStudies,137.2(2008),205–41andG.Piccinini,“Functionalism,Com- putationalism, and Mental Contents,” Canadian Journal of Philosophy, 34.3 (2004), 375–410. Chapter4 is indebted to G. Piccinini, “Computational Modeling vs. Computa- tional Explanation: Is Everything a Turing Machine, and Does It Matter to the PhilosophyofMind?”AustralasianJournalofPhilosophy,85.1(2007),93–115. Chapter5 is indebted to G. Piccinini, “Functionalism, Computationalism, and Mental States,” Studies in the History and Philosophy of Science, 35.4 (2004), 811–33andG.PiccininiandC.Craver, “IntegratingPsychology andNeuroscience: FunctionalAnalysesasMechanismSketches,”Synthese,183.3(2011),283–311. Chapter6 is indebted to C. Maley and G. Piccinini, “A Unified Mechanistic Account of Teleological Functions for Psychology and Neuroscience,” forthcoming in David Kaplan, ed., Integrating Psychology and Neuroscience: Prospects and Prob- lems.Oxford:OxfordUniversityPress. OUPCORRECTEDPROOF–FINAL,30/4/2015,SPi ACKNOWLEDGEMENTS ix Chapter7 is indebted to G. Piccinini, “Computing Mechanisms,” Philosophy of Science, 74.4 (2007), 501–26 and G. Piccinini, “Computation without Representa- tion,”PhilosophicalStudies,137.2(2008),205–41. Chapters 10–13 are indebted to G. Piccinini, “Computers,” Pacific Philosophical Quarterly,89.1(2008),32–73. Chapter13isindebtedtoG.Piccinini,“SomeNeuralNetworksCompute,Others Don’t,”NeuralNetworks,21.2–3(2008),311–21. Chapter14isindebtedtoG.PiccininiandA.Scarantino,“InformationProcessing, Computation,andCognition,”JournalofBiologicalPhysics,37.1(2011),1–38. Chapters15and16areindebtedto“ThePhysicalChurch-TuringThesis:Modest orBold?”TheBritishJournalforthePhilosophyofScience,62.4(2011),733–69. My co-authors for some of the above articles—Carl Craver, Corey Maley, and AndreaScarantino—helpedmedevelopimportantaspectsoftheviewIdefendand Iamdeeplygratefultothem. The articles from which the book borrows were usually refereed anonymously. Thankstothemanyanonymousrefereesfortheirhelpfulfeedback. Thanks to my research assistant, Frank Faries, especially for drawing the figures forChapters8and9. ThismaterialisbasedonworksupportedbytheCollegeofArtsandSciencesatthe University of Missouri—St. Louis, the Charles Babbage Institute, the Institute for AdvancedStudiesattheHebrewUniversityofJerusalem,theNationalEndowment fortheHumanities,theNationalScienceFoundationundergrantsno.SES-0216981 andSES-0924527,theUniversityofMissouri,theUniversityofMissouri—St.Louis, theMellonFoundation,andtheRegioneSardegna.Anyopinions,findings, conclu- sions, and recommendations expressed in this book arethose of the author and do notnecessarilyreflecttheviewsofthesefundinginstitutions. Deepthankstomyfriends,partners,andfamily—myparents,sisters,brothers-in- law, and nieces—for their love and support, especially during my most challenging times. Thanks to my daughters—Violet, Brie, and Martine—for bringing so much meaningandjoytomylife.

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