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<p>*** am I reading?</p>
<p>I’m just saying that mathematics as a field should never be grouped with science as it is not a study of the natural world and does not require experimental verification for validity. Mathematics is the study of artificial, abstract constructs (numbers, polygons, matrices, groups, fields, rings, algebras), and mathematicians are free to create such constructs as they wish, as long as they define self contained rules. The natural world can be described with such constructs, but that never affects the development of math itself. For example, scientific theory has constantly been revised for thousands of years. Many things held to be scientific truth have been overturned and are constantly being overturned. Any mathematical theorem that is proven rigorously, however, will remain unchanged for as long as humans are doing math.</p>