Probability Theory: The Logic Of Science by Edwin Jaynes

Author:The Logic of Science [Science, The Logic of]
Language: eng
Format: epub
Published: 2011-01-07T03:27:59.832000+00:00

1

(p ; ;pn) respectively. Instead of giving the probabilities of the (A ; ;An) directly, we might

1

1

rst group the st k of them together as the proposition denoted by (A + A + + Ak) in

1

2

Boolean algebra, and give its probability which by (2{64) is equal to w = (p + + pk); then

1

1

the next m propositions are combined into (Ak + + Ak m), for which we give the probability

+1

+

w = (pk + + pk m), etc. When this much has been specied, the amount of uncertainty as

2

+1

+

to the composite propositions is H(w ;:::;wr).

1

Next we give the conditional probabilities (p =w ;:::;pk=w ) of the propositions (A ;:::;Ak), 1

1

1

1

given that the composite proposition (A + +Ak) is true. The additional uncertainty, encountered

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.