TY - BOOK AU - Leblanc,Hughes AU - Roeper,Peter TI - Probability Theory and Probability Semantics T2 - Toronto Studies in Philosophy SN - 9780802008077 AV - BC141 U1 - 160 PY - 1999///] CY - Toronto : PB - University of Toronto Press, KW - Logic KW - Probabilities KW - Semantics (Philosophy) KW - PHILOSOPHY / Logic KW - bisacsh N1 - restricted access N2 - 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 UR - https://www.degruyter.com/isbn/9781442678781 UR - https://www.degruyter.com/document/cover/isbn/9781442678781/original ER -