In section I the notions of logical and inductive probability will be discussed as well as two explicanda, viz. degree of confirmation, the base for inductive probability, and degree of evidential support, Popper's favourite explicandum. In section II it will be argued that Popper's paradox of ideal evidence is no paradox at all; however, it will also be shown that Popper's way out has its own merits.

This paper concerns exchangeable analogical predictions based on similarity relations between predicates, and deals with a restricted class of such relations. It describes a system of Carnapian λγ rules on underlying predicate families to model the analogical predictions for this restricted class. Instead of the usual axiomatic definition, the system is characterized with a Bayesian model that employs certain statistical hypotheses. Finally the paper argues that the Bayesian model can be generalized to cover cases outside the restricted class of similarity (...) relations. (shrink)

Let R(X, B) denote the class of probability functions that are defined on algebra X and that represent rationally permissible degrees of certainty for a person whose total relevant background evidence is B. This paper is concerned with characterizing R(X, B) for the case in whichX is an algebra of propositions involving two properties and B is empty. It proposes necessary conditions for a probability function to be in R(X, B), some of which involve the notion of statistical dependence. The (...) class of probability functions that satisfy these conditions, here denoted PI, includes a class that Carnap once proposed for the same situation. Probability functions in PI violate Carnap's axiom of analogy but, it is argued, that axiom should be rejected. A derivation of Carnap's model by Hesse has limitations that are not present in the derivation of PI given here. Various alternative probability models are considered and rejected. (shrink)

This collection of essays, by Reding, in the emergent field of Sino-Hellenic studies, explores the neglected inchoative strains of rational thought in ancient China and compares them to similar themes in ancient Greek thought, right at the beginnings of philosophy in both cultures. Reding develops and defends the bold hypothesis that Greek and Chinese rational thinking are one and the same phenomenon. Rather than stressing the extreme differences between these two cultures - as most other writings on these subjects - (...) Reding looks for the parameters that have to be restored to see the similarities. Reding maintains that philosophy is like an unknown continent discovered simultaneously in both China and Greece, but from different starting-points. The book comprises seven essays moving thematically from conceptual analysis, logic and categories to epistemology and ontology, with an incursion in the field of comparative metaphorology. One of the book's main concerns is a systematic examination of the problem of linguistic relativism through many detailed examples. (shrink)

In this paper we consider a natural generalization of the Principle of Instantial Relevance and give a complete characterization of the probabilistic belief functions satisfying this principle as a family of discrete probability functions parameterized by a single real δ ∊ [0, 1).