{"product_id":"9783031983368","title":"Algebraic Probabilistic Consistency : Boole, Lukasiewicz, de Finetti, Kolmogorov (Trends in Logic) \u003cVol. 69\u003e","description":"\u003cp\u003eThis book investigates the foundations of probability theory and logic, intertwining historical insights with modern interpretations. It explores the evolution of probability theory from Boole s seminal question on the very object of probability, through de Finetti s finitely additive probability and his consistency notion, also known  as   non-Dutchbookability, to the intricate relationship between logic independence and stochastic independence.  Using the recent characterization of Lukasiewicz logic as the only logic generated by a continuous [0,1]-valued operation having the two minimal properties of what is commonly understood as an implication, the author extends the results of the first part of the book from yes-no events to continuous real-valued events. The book culminates with a detailed examination of the symbiosis between de Finetti s finitely additive and Kolmogorov s countably additive probability on compact spaces.  By providing a rigorous and cohesive narrative, this book serves as an essential resource for scholars and students in mathematical logic eager to grasp the profound connections between logic, probability, and algebraic structures.\u003c\/p\u003e \u003cp\u003eGeometry of finite boolean algebras and their states.- De Finetti s Fundamental Theorem of Probability .- De Finetti s Consistency Theorem.-  Boolean independence, consistency, and the product law.- Interlude: de Finetti s exchangeability theorem.- The logic L of continuous [0, 1] valued events.- MV algebraic probabilistic consistency.- The product law for continuous [0, 1] events.- Finite\/countable additivity.\u003c\/p\u003e \u003cp\u003eDaniele Mundici is an academic researcher from the University of Florence. He has contributed to research in Lukasiewicz logic,  Chang MV-algebras, lattice-ordered groups, AF C*-algebras and their computational complexity.  The author has an h-index of 28, and co-authored 203 publications. Previous affiliations of Daniele Mundici include the Department of Computer Science of the University of Milan. He has served as a president of the Kurt Gödel Society.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":52629406023991,"sku":"00000_00000_00000_00000","price":650.1,"currency_code":"MYR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0962\/3548\/7543\/files\/9783031983368-1.jpg?v=1783496589","url":"https:\/\/kinokuniya.com.my\/products\/9783031983368","provider":"Books Kinokuniya Malaysia","version":"1.0","type":"link"}