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Algebraic Probabilistic Consistency

Name: Algebraic Probabilistic Consistency
Brand: Springer, Berlin
SKU: 9783031983368
Price: 2514 CZK
Availability: InStock

Boole, Lukasiewicz, de Finetti, Kolmogorov

Autor: Daniele Mundici

Jazyk:

Vazba: Pevná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

Odesíláme za 10-13 dnů

2 514 Kč

This book investigates the foundations of probability theory and logic, intertwining historical insi...

Informace o knize

Autor

Daniele Mundici

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

2025

Stránek

130

EAN

9783031983368

Enbook ID

48984516

Vydavatel

Springer, Berlin

Hmotnost

379

Rozměry

155 x 235

Kompletní popis

This 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.