Logic with a Probability Semantics 2011

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1、Logic with a Probability Semantics Logic with aProbability Semantics———————————Including Solutions toSome Philosophical ProblemsTheodore HailperinPublished by Lehigh University PressCopublished with The Rowman & Littlefield Publishing Group, Inc.4501 Forbes Boulevard, Suite 20

2、0, Lanham, Maryland 20706www.rlpgbooks.comEstover Road, Plymouth PL6 7PY, United KingdomCopyright © 2011 by Theodore HailperinAll rights reserved. No part of this book may be reproduced in any form or by any electronic or mechanical means, including information storage and ret

3、rieval systems, without written peermissionfrom the publisher, except by a reviewer who may quote passages in a review.British Library Cataloguing in Publication Information AvaiableLibrary of Congress CataloginginPublication DataLibrary of Congress CataloginginPublication Dat

4、a on file under LC#2010026427ISBN: 978611460100 (cl. : alk. paper)eISBN: 9781611460117The paper used in this publication meets the minimum requirements of Americal National Standard for Information SciencesPermanence of Paper for Printed Library Materials,ANSI/NISO Z39.481992 

5、Printed in the United States of AmericaCONTENTSPrefaceIntroduction:AnOverview................11Chapter1.SententialProbabilityLogic1.1VeritylogicforS(:;^;_)...............181.2ProbabilitylogicforS(:;^;_).............201.3Interval-basedprobabilitylogic.............261.4Sententia

6、lsuppositionallogic..............291.5Conditional-probabilitylogic..............341.6Logicalconsequenceforprobabilitylogic.........391.7Combiningevidence..................43Chapter2.LogicwithQuantifiers2.0Ontologicallyneutral(ON)language...........492.1SyntaxandsemanticsofONlo

7、gic............512.2AxiomaticformalizationofONlogic...........582.3AdequacyofONlogic.................602.4Quantierlanguagewiththesuppositional........62Chapter3.ProbabilitySemanticsforONLogic3.1ProbabilityfunctionsonONlanguages..........673.2MainTheoremofONprobabilitylogic...

8、.......713.3Borel'sdenumerableprobability.............843.4In