This page intentionally left blank Truth and Truthmakers Truthsaredeterminednotbywhatwebelieve,butbythewaythe world is. Or so realists about truth believe. Philosophers call such theories correspondence theories of truth. Truthmaking theory, whichnowhasmanyadherentsamongcontemporaryphilosophers, isthemostrecentdevelopmentofarealisttheoryoftruth,andinthis bookD.M.Armstrongoffersthefirstfull-lengthstudyofthistheory. He examines its applications to different sorts of truth, including contingenttruths,modaltruths,truthsaboutthepastandthefuture, andmathematicaltruths.Inaclear,even-handedandnon-technical discussionhemakesacompellingcasefortruthmakinganditsim- portanceinphilosophy.Hisbookmarksasignificantcontributionto thedebateandwillbeofinteresttoawiderangeofreadersworking inanalyticalphilosophy. d. m. armstrong’smanypublicationsincludeAMaterialistTheory ofMind(1968)andAWorldofStatesofAffairs(1997). CAMBRIDGE STUDIES IN PHILOSOPHY Generaleditorse.j.loweandwaltersinnott-armstrong Advisoryeditors jonathandancyUniversityofReading johnhaldaneUniversityofStAndrews gilbertharmanPrincetonUniversity frankjacksonAustralianNationalUniversity williamg.lycanUniversityofNorthCarolina,ChapelHill sydneyshoemakerCornellUniversity judithj.thomsonMassachusettsInstituteofTechnology recenttitles joshuahoffmanandgarys.rosenkrantzSubstanceamongothercategories paulhelmBeliefpolicies noahlemosIntrinsicvalue lynnerudderbakerExplainingattitudes henrys.richardsonPracticalreasoningaboutfinalends roberta.wilsonCartesianpsychologyandphysicalminds barrymaundColours michaeldevittComingtooursenses sydneyshoemakerThefirst-personperspectiveandotheressays michaelstockerValuingemotions ardadenkelObjectandproperty e.j.loweSubjectsofexperience nortonnelkinConsciousnessandtheoriginsofthought pierrejacobWhatmindscando andregalloisTheworldwithout,themindwithin d.m.armstrongAworldofstatesofaffairs davidcockburnOthertimes marklanceandjohno’leary-hawthorneThegrammarofmeaning annettebarnesSeeingthroughself-deception davidlewisPapersinmetaphysicsandepistemology michaelbratmanFacesofintention davidlewisPapersinethicsandsocialphilosophy markrowlandsThebodyinmind:understandingcognitiveprocesses logigunnarssonMakingmoralsense:beyondHabermasandGauthier bennettw.helmEmotionalreason:deliberation,motivation,andthenatureofvalue richardjoyceThemythofmorality ishtiyaquehajiDeonticmoralityandcontrol andrewnewmanThecorrespondencetheoryoftruth janehealMind,reason,andimagination peterrailtonFacts,valuesandnorms christophers.hillThoughtandworld waynedavisMeaning,expressionandthought andrewmelnykAphysicalistmanifesto jonathanl.kvanvigThevalueofknowledgeandthepursuitofunderstanding williamrobinsonUnderstandingphenomenalconsciousness michaelsmithEthicsandtheapriori Truth and Truthmakers d. m. armstrong Emeritus Professor of Philosophy, University of Sydney cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge cb2 2ru, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521838320 © D. M. Armstrong 2004 This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. First published in print format 2004 isbn-13 978-0-511-21200-0 eBook (EBL) isbn-10 0-511-21377-8 eBook (EBL) isbn-13 978-0-521-83832-0 hardback isbn-10 0-521-83832-0 hardback isbn-13 978-0-521-54723-9 paperback isbn-10 0-521-54723-7 paperback Cambridge University Press has no responsibility for the persistence or accuracy of urls for external or third-party internet websites referred to in this publication, and does not guarantee that any content on such websites is, or will remain, accurate or appropriate. ForCharlieMartin,whointroducedme tothenotionofatruthmaker Contents Preface page xi 1. Anintroductiontotruthmakers 1 2. Thegeneraltheoryoftruthmaking 4 2.1. Introduction 4 2.2. Historical 4 2.3. Thetruthmakingrelation 5 2.4. Falsemakers 9 2.5. TheEntailmentprinciple 10 2.6. Truthsandfalsehoodsarepropositions 12 2.7. Connectingtruthwithreality 16 2.8. Arealistdefinitionoftruth? 17 2.9. Truthmakersforpmay(properly)include truthmakersforp 17 2.10. Minimaltruthmakers 19 2.11. Atruthmayhavemanyminimaltruthmakers 21 2.12. Truthswithoutminimaltruthmakers 21 2.13. Uniqueminimaltruthmakers 22 2.14. Thepostulationoftruthmakerscontrastedwith ‘quantifyingover’ 23 2.15. Differenttruths,sameminimaltruthmakers 24 3. Epistemologyandmethodology 26 3.1. Theepistemicbase 26 3.2. Mooreantruths 26 3.3. Therationalsciences 30 3.4. Theempiricalsciences 32 3.5. Deflationarytruthmakers 32 3.6. Goingbeyondtherationalconsensus 34 vii Contents 3.7. Truthmakersthataretoonarrowortoowide 36 3.8. Metaphysicsandepistemology 37 4. Properties,relationsandstatesofaffairs 39 4.1. Introduction 39 4.2. Properties 39 4.3. Predicationnecessaryorcontingent? 45 4.4. Universalsandinstantiation 46 4.5. Statesofaffairs 48 4.6. Relations 50 5. Negativetruths 53 5.1. Introduction 53 5.2. Canwedispensewithnegativefacts? 54 6. Generaltruths 68 6.1. Truthmakersforgeneraltruths 68 6.2. Thelogicalformofgeneralfacts 72 6.3. Totalitystatesofaffairsandthecausalorder 76 6.4. WhydidRussellwantbothgeneralfactsand negativefacts? 79 6.5. Newthinkingaboutgeneralfacts 80 6.6. Inmemoriam:GeorgeMolnar 81 7. Truthmakersformodaltruths,part1:possibility 83 7.1. Introduction 83 7.2. ThePossibilityprinciple 83 7.3. Thepossibilityofaliens 86 7.4. Isitpossiblefortheretobenothingatall? 89 7.5. Minimaltruthmakersfortruthsofpossibility 91 8. Truthmakersformodaltruths,part2:necessity 95 8.1. Againstextensionalaccountsofnecessity 95 8.2. Necessarystatesofaffairsintherationalsciences? 96 8.3. Interpolation:truthmakersfor7,5,12etc. 99 8.4. Truthmakersfortruthsofnecessityintherational sciences 100 8.5. Adeeperhypothesis 103 8.6. Hochbergonidentityanddiversity 104 8.7. Internalproperties 105 8.8. Truthsofimpossibility 107 viii
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