My views on the
philosophy of probability are contained
in a book
"The Search for Certainty.
On the Clash of Science and Philosophy of Probability".
-
Free preview:
preface, contents and introduction (PDF, 191kb).
- Visit the
book
Web site at World Scientific and
buy
the book.
- The book is also available at
Amazon.
- See my blog
related to the book. The blog contains a list of
errata
for the book.
- See Larry Wasserman's
review
of my book. The review contains a crystal clear
summary of the main ideas in my book.
- The following quotes come from Adrew Gelman's
blog.
- Larry Wasserman: "I think this is an interesting and important book."
-
Larry Wasserman: "Burdzy makes a convincing case that the philosophy of probability is a
complete failure."
-
Andrew Gelman: "Chris:
I am in complete agreement with your claim that the theories of von Mises and de Finetti completely fail to describe what statisticians actually do."
-
Christian Robert quotes my asertion that
"the original theories of von Mises and de Finetti
are completely unrelated to statistics"
in his review of my book.
He calls it "appealing" because he believes that
"[...] their philosophical theories have not had a lasting impact on statistics."
-
A.I. Dale writes in the Math Review (MR2510150) of the book:
"[...] there is much to absorb, but the careful reader
will find considerable food for thought here."
The slides of the October 23, 2006, talk at the Department
of Statistics, University of Washington, "De Finetti's
ultimate failure":
PowerPoint,
PDF.
The slides of the October 13, 2008, talk at the Department
of Statistics, University of Washington, "Philosophy
of probability and its relationship (?) to statistics":
PowerPoint,
PDF.
I find the following "new prisoner's
paradox"
and its follow-up dealing with some ethical
questions
entertaining.
An "insider trading
paradox"
is based on a similar probabilistic idea
but does not have much philosophical significance
- I consider it an interesting textbook example.
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