<p>I do not think that Physics began as an offset of Mathematics and Mathematics is certainly not an offset or by product of Physics. Today, it seems that Physics is intricately involved in Math but that is just the nature of any technical science today–the embodiment of a modern day theory/law typically requires quantifiable evidence which is provided through Mathematical equations/relations.</p>
<p>I feel that Physics began as a branch of natural philosophy and that many physical concepts preceded their mathematical relationships For example, the intuition that there was “some uniform gravitational force” or “a spring relationship”, common physics concepts, are devoid of any Math. However in order to prove or deeply analyze a physical concept, Mathematics must be used, be it a complex equation or simple symbolic relationships.</p>