Branden Fitelson and James Hawthorne (2006) undermine the relativity entailed by context dependence by making of conditional probability a three-place function, in which probability is conditioned on evidence and context, the latter to include also background knowledge.
Then in accordance with the Principal Principle, one assigns the same value to conditional credence (conditional on this evidence about the chances) in each future proposition as the value of its chance.
Unfortunately, since no evidence has been presented to date on the efficacy of ablation for prevention of thromboembolic events, the findings of this study are conditional on such evidence coming to light in the years to come.
Their approach was "based on protection and welfare of victims, providing advice, immunity that was not conditional on them giving evidence, visas to remain and possible asylum", she said.
Finally, a Bayesian would use Bayes rule to generate the probability associated with the strong regime process, conditional on the observed evidence.
(Or, if we let B be the proposition that the proportion of Fs that are G is r, and we let p(h | e) be the conditional probability of hypothesis h on evidence e, then we can express the above proportional syllogism in the language of probability as follows: p(Ga | Fa & B) = r).
There will also be a probability and a degree of belief that a hypothesis will be true conditional on a piece of evidence (an observation, say) being true.
Therefore, the expected utilities of acceptance and rejection are undefined, and we ought to use the methods of traditional statistics, which rely on comparing the probabilities of our evidence conditional on each of the hypotheses.
An event's probability conditional on another event indicates the evidence that the second event provides for the first.
This suggestion is sensitive to the well-recognized fact that we are not always able to assign a prior to every hypothesis of interest, or to say how probable a given piece of evidence is conditional on a given hypothesis.
