A Representation Theorem for Absolute Confirmation

Abstract

Proposals for rigorously explicating the concept of confirmation in probabilistic terms abound. To foster discussions on the formal properties of the proposed measures, recent years have seen the upshot of a number of representation theorems that uniquely determine a confirmation measure (up to ordinal equivalence) based on a number of desiderata. However, the results that have been presented so far focus exclusively on the concept of incremental confirmation. This leaves open the question whether similar results can be obtained for the concept of absolute confirmation. This article closes the gap by providing a representation theorem for absolute confirmation measures.

The Systemic Concept of Contextual Truth

“…In such systems the reference to reality, considered in the frame of a certain correspondence, plays a crucial role. Confirmation of a given hypothesis, including scientific, is one of important problems (Kuipers 2016;Luk 2020;Schippers 2017). In this paper the problem of the truth in open systems is considered.…”