Comments on “Constructing a logic of plausible inference: a guide to Cox’s Theorem”, by Kevin S. Van Horn
✍ Scribed by Glenn Shafer
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 171 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0888-613X
No coin nor oath required. For personal study only.
✦ Synopsis
Professor Van Horn [International Journal of Approximate Reasoning 34 (2003) 3] has reviewed much of the work that followed Richard CoxÕs publication of his axioms for probability in 1946. My comments will emphasize work that came earlier and also merits attention. In particular, I will discuss work by Sergei Bernstein that is closely related to CoxÕs but has been neglected by Cox and his commentators.
Before reviewing BernsteinÕs work, I will discuss the context of CoxÕs work and explain why it did not dissuade me from studying alternative representations of uncertainty. After discussing Bernstein, I will make just one comment on Van HornÕs presentation.