The Natural Axiom System of Probability Theory: Mathematical Model of the Random Universe | 
 enlarge | Author: Daguo Xiong
Creator: Jian Wu
Publisher: World Scientific Pub Co Inc
Category: Book
Buy New: $59.00
New (1) Used (2) from $53.10
Rating:  1 reviews
Sales Rank: 3925338
Media: Hardcover
Pages: 200
Shipping Weight (lbs): 1.1
Dimensions (in): 9.1 x 6.2 x 0.7
ISBN: 9812384081
Dewey Decimal Number: 519.2
EAN: 9789812384089
Publication Date: July 2003
Availability: Usually ships in 24 hours
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| Editorial Reviews:
Product Description
The causation space established in this book is a mathematical model of the random universe and a "living house" of all random tests and probability spaces. By using this space, one can introduce the mathematical calculation methods related to probability spaces and random tests. The book also points out that the basic unit to be studied in the probability theory is the random test, and not a stand-alone event.
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| Customer Reviews:
Severe translation problems with major errors about Keynes's theory February 15, 2006
Michael Emmett Brady (Bellflower, California ,United States)
This book is extremely difficult to read due to what appears to be great difficulties in translating the text to English.It is not clear to this reader if any significant improvement has been made over the standard results that can be derived using the Kolmogorov axioms, which only hold for series of events composed of phenomena that is homogeneous,uniform,stable,symmetric,continuous,independent and random through time.Some areas of the life and physical sciences can apply such a theory effectively.It has very limited applicability in the social sciences,liberal arts,economics,business,education(educational psychology and vocational education),and practical everyday decision making.The Kolmogorov approach is just too narrow.On page 14 the author makes the following claim:"This belief(i.e.,Keynes's degree of rational belief) is not able to be given some value and is only able to compare each other[13]"(p.14).The author has erred in his claim,since the vast majority of probabilities for Keynes are interval estimates based on his interval approach to probability ,first presented to the careful reader in chapter III of the A Treatise on Probability(TP) in 1921 and then systematically developed in Part II of the TP in chapters 15 and 17.The author's error is a very common one that results from the uncritical acceptance of two very poor book reviews ,published on Keynes's book by F Ramsey in 1922 and 1926,respectively,by practically every philosopher in the 20th century,excluding only Bertrand Russell.It is not surprising ,then,that the author misidentifies Keynes as a subjectivist.
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