Final answer:
Newton's First Law of Motion implies that changes in motion require a cause, reflecting the broader scientific principle of cause and effect. While it doesn't directly validate induction, it supports the expectation of discovering underlying order in the universe, which inductive reasoning relies upon.
Step-by-step explanation:
Newton’s First Law of Motion, also known as the Law of Inertia, states that an object at rest will stay at rest, and an object in motion will continue with constant velocity unless acted upon by a net external force. This law fundamentally supports the idea of cause and effect in physical systems. It does not directly assist in validating induction as a scientific principle, but it does help validate the concept that changes in physical systems have definable causes. In terms of scientific discovery, Newton's First Law reflects the expectation of underlying order in nature, which is often revealed through the process of inductive reasoning as we generalize from specific instances to broader principles.
When applied to the question of whether such order will always be found in new explorations, there is no definitive proof that this will be the case; however, the continual confirmation of universal laws, like Newton's First Law, through experimentation does indicate a pattern. This pattern suggests that while not guaranteed, it is very likely that new explorations will continue to uncover further underlying orders in nature. Thus, while Newton's First Law does not provide proof of order in every instance of scientific exploration, its generality and wide applicability give us reason to look for, and often expect, such order.