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Scientists maintain that scientific investigation must adhere to the scientific method, a rigorous process for properly developing and evaluating natural explanations for observable phenomena based on reliable empirical evidence and neutral, unbiased independent verification, and not on arguments from authority or popular preferences. Science therefore bypasses supernatural explanations, it instead only considers natural explanations that may be falsifiable.
Fields of science are distinguished as pure science or applied science. Pure science is principally involved with the discovery of new truths with less or no regard to their practical applications. Applied science is principally involved with the application of existing knowledge in new ways.
Mathematics is the language in which scientific information is best presented, often it is the only way to formulate and present scientific knowledge. Therefore whether mathematics is a science in itself or the framework of science is a matter of perspective.
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