difference between a 'theorem' and a 'law' in science.
In science, the terms "theorem" and "law" refer to different types of scientific principles.
A theorem is a statement that has been proven or demonstrated through rigorous mathematical or logical reasoning. Theorems are derived from axioms or previously established theorems. They are usually specific to particular branches of science, such as mathematics or physics. Theorems are deductively derived and provide a theoretical explanation for observed phenomena. They are subject to rigorous proof and are considered to be true under certain conditions.
On the other hand, a law in science is a generalization or statement that describes natural phenomena based on repeated observations and experimental evidence. Laws are typically formulated after careful data collection and analysis. They are descriptive in nature, summarizing observed regularities and patterns in nature. Laws are widely applicable and often simplified representations of complex phenomena. They provide a general framework or rule that governs a particular phenomenon or behavior in nature.
In summary, the main difference between a theorem and a law in science is that a theorem is a proven statement obtained through mathematical or logical deduction, while a law is a well-established, general description of natural phenomena based on experimental evidence.