04367nam 2200781 450 991081318310332120230912154057.01-282-00825-097866120082521-4426-7878-X10.3138/9781442678781(CKB)2420000000004295(EBL)3251222(SSID)ssj0000306950(PQKBManifestationID)11223697(PQKBTitleCode)TC0000306950(PQKBWorkID)10308103(PQKB)10583718(CaPaEBR)417944(CaBNvSL)thg00600143(DE-B1597)464774(OCoLC)944177648(DE-B1597)9781442678781(Au-PeEL)EBL4671857(CaPaEBR)ebr11257547(CaONFJC)MIL200825(OCoLC)815764155(MdBmJHUP)musev2_105122(VaAlCD)20.500.12592/gjjzbt(schport)gibson_crkn/2009-12-01/6/417944(MiAaPQ)EBC4671857(MiAaPQ)EBC3251222(EXLCZ)99242000000000429520160923h19991999 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierProbability theory and probability logic /P. Roeper, H. LeblancToronto ;Buffalo ;London :University of Toronto Press,1999.©19991 online resource (253 pages) illustrationsToronto Studies in PhilosophyDescription based upon print version of record.0-8020-0807-0 Includes bibliographical references and indexes.pt. I. Probability theory -- Introduction -- ch. 1. Probability functions for propositional logic -- ch. 2. The probabilities of infinitary statements and of quantifications -- ch. 3. Relative probability functions and their t-restrictions -- ch. 4. Representing relative probability functions by means of classes of measure functions -- ch. 5. The recursive definability of probability functions -- ch. 6. Families of probability functions characterised by equivalence relations -- pt. II. Probability logic.Ch. 7. Absolute probability functions construed as representing degrees of logical truth -- ch. 8. Relative probability functions construed as representing degrees of logical consequence -- ch. 9. Absolute probability functions for intuitionistic logic -- ch. 10. Relative probability functions for intuitionistic logic.As a survey of many technical results in probability theory and probability logic, this monograph by two widely respected scholars offers a valuable compendium of the principal aspects of the formal study of probability.Hugues Leblanc and Peter Roeper explore probability functions appropriate for propositional, quantificational, intuitionistic, and infinitary logic and investigate the connections among probability functions, semantics, and logical consequence. They offer a systematic justification of constraints for various types of probability functions, in particular, an exhaustive account of probability functions adequate for first-order quantificational logic. The relationship between absolute and relative probability functions is fully explored and the book offers a complete account of the representation of relative functions by absolute ones.The volume is designed to review familiar results, to place these results within a broad context, and to extend the discussions in new and interesting ways. Authoritative, articulate, and accessible, it will interest mathematicians and philosophers at both professional and post-graduate levels.Toronto studies in philosophy.Probability theory & probability logicProbabilitiesLogicSemantics (Philosophy)Probabilities.Logic.Semantics (Philosophy)121/.63Roeper Peter1632716Roeper Peterauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910813183103321Probability theory and probability logic3972078UNINA