Scientific Testability Following the Assumption of Insufficient Knowledge and Resources

Carnap described ways to test scientific hypotheses. However, Carnap acknowledged that confirmation can never be definite. This left open the issue about the criteria to accept hypotheses. On the other hand, Wang has developed a computer program working without sufficient knowledge or resources, which makes the action of the program akin to the manner the human mind thinks. Wang’s program includes quantitative indicators that can be assigned to the frequency and the confidence of sentences. The present paper tries to link both approaches. The goal is to show how quantitative indicators such as those in Wang’s program can also be attributed to scientific hypotheses. Those indicators can help make decisions about the acceptance of the hypotheses. All of this allows proposing general characteristics for a possible algorithm to decide whether a particular hypothesis is admissible.