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Errors of Reasoning. Naturalizing the Logic of Inference PDF

590 Pages·2013·7.78 MB·English
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Studies in Logic Logiacn dC ognitSiyvset ems Volum45e ErrorosfR easoning NaturaltihzLeio ngogif cI nference Volum3e4 �!?,eTth �oi;y 1<.em�etM�-unen � �olume35 Logic iMsa tnhoetm atical · HartlSelya ter Volum3e6 UnderstanVdaigngu enesLso.g icPahli,l osophaincdLa iln guistic Perspectives PetCri ntula, ChGr.iF setrimaUn! lLelru,fG so doa ndP etHra jeekd,s . Volum3e7 HandboookfM athematiFcuazlz Lyo giVco.l um1e PetCri ntuPleat,Hr a jeakn dC arleNso gueread,s . Volum3e8 HandboookfM athematical LoFguizVczoy.l um2e PetCri ntuPleat,Hr a jeakn dC arleNso gueread,s . Volume 39 Non-contradiction LawrenHc.eP owersw,i thF oar ewobrydH ansV .H ansen Volume40 TheL ambdaC alculIutsSs.y ntaaxn dS emantics HenkP .B arendregt Volume41 SymbolLiocg ifcr omL eibntiozH usserl AbelL assalClaes anave, ed. Volume42 Meta-argumentAant Aipopnr.o acthoL ogiacn dA rgumentatTihoeno ry MauriAce F inocchiaro Volume43 LogiTcr,u tahn dI nquiry MarkW einstein Volum4e4 Meta-logIincvaels tigaitnAi rognusm entatNieotnw orks DovM .G abbay Volum4e5 ErroorfsR easoniNnga.t uralitzhieLn ogg iocfI nference JohnW oods StudiiensL ogic SeErdiietso r DovG abbay dov.gabbay@kuckl .ac. ErroorsfR easoning NaturalitzhieLn ogg iocfI nference JohnW oods UniverosfBi rtiyt Cioslhu mbia and UniverosfLi ettyh bridge © Indiviaduutahlo arn dC ollePgueb licat2i0o1n3s. Alrli ghrtess erved. ISBN9 78-1-84890-114-8 CollePgueb lications ScientDiifriecc tDoorv:G abbay ManaginDgi rectJoarn:eS purr DepartmeonfIt n formatics King'Csol leLgoen donS,t ranLdo,n doWnC 2R 2LS,U K http://wowlwl.ecgepublications.co.uk Origicnoavle dre sigbny O rchiCdr eativew ww.orchidcreative.co.uk PrintbeydL ightnSionugr cMei,l tKoeny nesU,K Allr ightrse servedN.o part oft hipsu blicatmiaoyn b e reproducesdt,o reidn a retriesvyaslt eomr t ransmititnae ndy f ormo,r b ya nym eans,e lectromneicch,a nical, photocopyirnegc,o rdionrgo therwiswei thouptr ior permiisnsw iroint,i nfgr,o mt he publisher. I dedictahtibeso otko t hmee moryo f JONATHAEN.A DLER 1948-2012 v Pre.face Thibso oskt aorutlteob d e v olumeo ftt hhoerm enei busA Pwroarckt,i cal Logai/cC ognSysitteitmvobse ec, o -auwtihmtoyhrf erdiD eonGvda bbTahye. prevtiwovouo sl uomfte hswa otr akrA eg enRdeal evAaS ntcyuie dn:F o rmal Pragm(a2t0ia0cns3Td )he R eaocfAh b ducItsniioganhn:Ttd ri a(l2 0E0a5c)h. reflaec cetrstd aiivni sliaobnoI wu oorfu.w l rdi tthpeeh iloscohpahpitcearls (colleccatli"lvteehdcle oy n cempotdueaalln" dD) o vw oulwdr itthee mathemcahtaipc(tacelar tlshl ee"rdtefoh rmea mlo deOlu"r) .wa aitsmob ring ourre spercetsiiuvnlaetts ose rvihcaerambwolinety th hiceno voefars si ngle book.a rTrhainsgh eamsdeo nmctel eaadrv agnetAsas.o nree vikeiwnedrl y obseoruvjreio dna,tu thowrasshg iotpolo do gaisgc o osdo ng-wtreiaatmrisen g tog oomdu sBiuct. wtehrederi es advtaonOotn.awe ga etssh t ahte mtowdoe ls approlaetcdoh s omrea tlhaerrag nevd e rpyr ibcoeoyk wsi,tA hg enda Relevwaenicgeih nai t5n g0p 8a gaensTd h Ree aocfAh b ducattais ocna rcely lehsesft 4y7 A6 .se codnifdf wiactsuh ltathtyve o luimnetse'rn edaedde rship lactkhehedo mogewnehe aitdtr yit eoa dc hiietnvh eeb soeo kcso.n sIenq uence, manwyo ulrde-abd(eem ropsra er tipcuurlcahrwalosyue,blr efads c )ew di tthhe decitsoai coqnua i rbeo soikg,n iaf icoafwn htit chcheh yu unwnkel riek ely to read. 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Int hfei rfosrtty ye aorfms y a cadecmaircet ehri,r toyf-t thherme e inclauddmeidn isdturtaiatesHis ev,ae Dd e,a onr,P resiTdheendstae.y s univeardsmsiittnryia steoermst oenj nootty hc eo nfidoeran fecfcet oifto hne ir non-admicnoilslterNaaodgt ouiuetvbshet.e a rree cwahsietcshh ee isnnem ities are enwtaairnrrteBelduy.t o ,v elr,haa ltitnh"ges uiitsas s"t uapnidd undesdeerfavupelodts iHteiaoDdnes.a, n sP,r easniaddr een tttsofoh setreer scholaanrrdse hsiepIa hr acvhhe.a d gtoholedu ctkoh avbee eonnt he receeinvdit nhgosi fus p pionr ta lolf t hswetr aigtoeiftsn h bgio so Ikw .o uld likteom akae p oionfst a yihnogwm ucIhv alanudea ppretchiea te involvoefdm eepnatr Htemaednst Bryson BrownK,e ntM ichael Sting! and Peac(oiLcnek t hb,rT iodmMg aei)baAunmd,rJ eowna ensMd i chLaueclk (in LondaonndM)o haMna tthMeanr,g aSrcehta PbaausB,la rtahnad Alan Richa(ridVnsa onnc o;uo vfDe eraB)nhsa gDwuaanan Cdh risNtiocp(ohilen r Letihdbgraen)Nd,a ncGya llainnGdi ag Aev eriVlanlc o(ui;van en rod) f PresiWdielnlCtiasad amen Mdi chMaaehlo n(eiLyne thbrainMddag ret)h,a Pip(eiVrna ncouver). Woroknt hbeo ohkab se esnu ppoirnwt heoodlrp e a brytg rafnrtosm thEen gineaenrdPi hnygs icalR eSsceiaCeroncuchneo csfit hlUe n ited KingdtohSmeo, c Sicailea nnHcdue m anitieCso uRnoecfCsi aelna artdchahe, AbductivGer oSuyps,t Deaemnnas'dD s i tshcer eFtuinoFdna,ac ruoylfA tr yt s anSdc ieUnnciev,eo rfLse itthyb wriittdhhga etn,oak lsl . Ina lmla ttteercsh anniadcd amli nisCtarroalt iWvoeot,dh sii nnrg usn s VancoJuavnSeepr u.dr oret sh e sLaomned Woiinnt. hJ oaunDteo ,wv o ubled irne easlt Waitteh.Co aurJtoo lhnw, o uslidm bpel yoo bfuu ts iness. Vancouver 20J un2e0 13 IX CONTENTS PREFACE CHAPTEORN E ERRING 1 1.1E rrooflrosg ic 1 12. The GoafEni gg hteen 4 13. Natluirzalionggi c 11 14. Pracrteiacsaoln ing 14 15. Psychologism 16 16. Compeptsenycceh ologism 19 17. Am etdhoolotgeincsailo n 21 18. Thceo nseqruuelnec e 23 19. Premiss-searches 26 1.1S0e mantics 30 1.1I1n consistency 32 CHAPTETRW O ASSESSING 40 2.1S cope 40 2.2A dequacy 41 2.3C onvergence 47 2.4N ormatainvdi ntyo rmalcy 50 2.5A ccuarnaadcpn yte ss 53 2.6R efleecqtuiivlei bria 55 2.7C harity 57 2.8C onceapdteuqaula cy 60 2.9V irtduiosutso rtion 64 2.1T0h iwradsy t andards 67 21.1O rhtodoxies 68 2.1D2a ta-bending 71 2.1M3a kitnhgiu npg s 75 xi

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Errors of Reasoning is the long-awaited continuation of the author's investigation of the logic of cognitive systems. The present focus is the individual human reasoner operating under the conditions and pressures of real life with capacities and resources the natural world makes available to him. T
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