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But instead of defining a distribution over this set, proponents of interval-valued or imprecise probability claim that our epistemic state regarding the priors is better expressed by this set of distributions, and that sharp probability assignments must therefore be replaced by lower and upper bounds to the assignments.
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In later writings, he seems to suggest that as long as the sequence converges, probability claims can be applied to the component events.
In addition to an axiomatization, Reichenbach attempts to provide a foundation for probability claims in terms of properties of sequences, similar to von Mises.
The proposal of the straight rule goes back to the problem of assertability of probability claims he discussed in his thesis.
No explicit interpretation of probability is forwarded, although Reichenbach implies that probability claims are about frequencies of causally independent events—a notion for which probability theorists would later substitute the idea of independent, identically distributed events (see the entry on probabilistic causation)— in observed and unobserved collections of cases.
By definition, scenarios do not explicitly refer to probability or claim to reduce the future's uncertainty [6, 22, 23, 24].
In all probability both claims are true.
Up to the nineteenth century, when philosophers spoke about probability their claims were still often rooted in medieval notions of probability.
A large section of the book is devoted to reconstructing classical results in the theory of probability as claims about relative frequencies, including various continuous distributions and Bernoulli's theorem.
He also intends for his demonstration of a just society's possibility to increase its probability: he claims that the Weimar Republic disintegrated into Nazism because its main players lost faith in the idea of a pluralistic society (1996, lxi lxii).
In particular, we analyse the probability of claiming a pension at a specific age, given that the worker has not yet retired, as a function, not only of individual demographic characteristics, but also of the economic incentives underlying the retirement legislation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com