Broad and the laws of dynamics

Abstract

The logical status of the laws of dynamics is frequently mischaracterized by attempts to assign them a single, fixed philosophical category, such as empirical generalization, conventional definition, or synthetic a priori principle. In scientific practice, dynamical laws—specifically Newton’s laws of motion and the law of universal gravitation—function not as discrete, single-valued propositions but as a versatile family of statements, rules, and definitions. The logical character of these laws depends entirely on the context of their use. A single law-sentence may express a contingent hypothesis subject to empirical falsification in one instance, while in another, it functions as a definition of terms, a rule of inference, or a conceptual framework that organizes disparate observations into an intelligible system. Because these laws often define the very subject matter to which they apply, they can become functionally a priori, making counter-evidence conceptually or systematically unthinkable without being strictly analytic. This versatility allows physicists to use the same formalisms as both descriptive tools and prescriptive regulations within the structure of classical mechanics. Understanding the logic of dynamics therefore requires analyzing the diverse functional roles these sentences play in scientific inquiry rather than reducing them to rigid philosophical dichotomies. – AI-generated abstract.