Над 4 милиона заглавия на английски и други езици! Открийте новата си история още днес! Безплатна доставка за поръчки над 69.99€

Виж статуса на поръчката

Свържете се с нас

Algebraic Probabilistic Consistency

Name: Algebraic Probabilistic Consistency
Brand: Springer, Berlin
SKU: 9783031983368
Price: 115.5 EUR
Availability: InStock

Boole, Lukasiewicz, de Finetti, Kolmogorov

Автор: Daniele Mundici

Език:

Корици: С твърди корици

Издател: Springer, Berlin

Наличност: Външен склад

Изпращаме след 10-13 дни

115.50 € 225.90 лв

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

Информация за книгата

Автор

Daniele Mundici

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2025

страници

130

EAN

9783031983368

Enbook ID

48984516

Издател

Springer, Berlin

Теглоt

379

Размери

155 x 235

Пълно описание

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.