Sentence examples for degree of confirmation from inspiring English sources
The degree to which \(E\) confirms \(H\), called the degree of confirmation, is written \(c(H,E \) and is defined: \[c(H,E) = p(H\mid E) - p(H).\] When \(c(H,E \) is negative, \(E\) actually decreases the probability of \(H\), and we say that \(E\) disconfirms \(H\).
when m e) > 0, for the degree of confirmation of the hypothesis h on evidence e. Degree of confirmation satisfies the laws of probability and in addition symmetry.
Carnap is interested in determining the degree of confirmation of a hypothesis relative to a given set of observations.
On its face, a single notion of degree of confirmation does not apply in different contexts of inquiry.
It can be shown that in general m* yields a degree of confirmation c* that allows learning from experience.
Thus, the rule "Always accept the theory with the greatest degree of confirmation" would count as (part of) a methodology.
Carnap granted the importance of this concept (especially in modern physical theories) but attempted, in increasingly refined and often revised forms, to define a concept of degree-of-confirmation that was purely logical.
Philosophers of science in this period also thought that they had a clear view of scientific rationality: to be rational is to accept and reject hypotheses according to the rules of method, or perhaps to distribute degrees of confirmation in accordance with Bayesian standards.
This approach bypassed the issue in Peircian pragmatism of whether a scientific process of inquiry as justified by greater degrees of confirmation required the prior demonstration of the existence of an asymptotic "limit" for the process.
In Additional file 5, the degree of experimental confirmation is indicated: "experimentally confirmed" for most rules, "no experimental contradiction" for temporal constraints like (18) ATPt + … = 2 ATPt+1, in contrast to (6) !Cat + !CaMemt + 2 Bile = 2 comparecompare the subsequent section), "auxililary rule" for the equations for CaMem.
