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Question
Does the exhibit demonstrate the Scientific Method? Pay close attention to the final conclusions. "From Stability to Change." Based upon data, is the author's statement a logical one: "As we'll see, it is this movement which life captures and makes use of to move itself in the opposite direction, from less probable to more probable, from disorder to all the organized complexity we think of as life."

Yes. In the author’s statement, he makes logical observations of movement. The Scientific Method is also defined by the author asking questions about movement and life. He formulated a hypothesis from previous findings. He also tested this with experiments and made a clear conclusion, as quoted.