EPISTEMOLOGY VS DECIDABILITY
The relationship between epistemology and decidability is both profound and integral to understanding the nature of knowledge, truth, and the frameworks through which we make decisions.
Epistemology is the branch of philosophy concerned with the theory of knowledge, exploring the nature, origin, scope, and limits of human knowledge. It addresses questions about what knowledge is, how it is acquired, and the extent to which any subject or entity can be known.
Decidability, in a broad philosophical context, refers to the ability to make clear, definitive decisions or judgments about propositions, theories, or knowledge claims. In logic and mathematics, decidability is more specifically defined as the question of whether a given problem can be algorithmically solved—i.e., whether there exists a finite, systematic procedure that can always lead to a clear yes or no answer to a question posed within a specific formal system.
The relationship between these two concepts centers on the idea of how we come to know what we claim to know (epistemology) and how that knowledge informs our ability to make decisions or judgments about truth, falsity, and the applicability of information (decidability). In many respects, decidability is a practical outcome or goal of epistemological inquiry: to not only understand the nature of knowledge but also to apply it in making determinations about the world.
From an epistemological viewpoint, the criteria we use to judge the validity or truth of knowledge claims directly influence our ability to decide on the truth or falsity of propositions. For example, the principle of verification, a concept in logical positivism, suggests that a proposition is meaningful only if it can be definitively proven true or false. This principle directly ties the concept of meaningful knowledge (an epistemological concern) to the concept of decidability.
In your work, given your interest in performative truth, morality, law, economics, and other areas, decidability becomes a crucial concern as it pertains to the application of epistemological principles. Deciding on the truth or falsity of claims, the justness of laws, or the efficacy of economic policies requires a foundation in how we know what we claim to know and how we evaluate the validity of these claims. This intersection is where epistemology provides the theoretical framework, and decidability represents the practical application or outcome of this framework in real-world decision-making processes.
Moreover, in the context of your emphasis on Natural Law and the unification of the sciences, the relationship between epistemology and decidability extends into the methodology for deriving universal principles that govern human behavior and social order. This involves critically examining how we acquire knowledge across disciplines and how this knowledge can be consistently applied to make decisions that are congruent with Natural Law principles.