I second this thinking. You may be interested in reading about Geometric Algebra[1] and Infinitesimal Calculus[2], as two other alternative frameworks for the symbolic tooling used in the physical sciences. Together with symbolic manipulation and calculation software, I also think alternative, simpler symbolic frameworks may help solve what I call the "receding shoulders climbing problem". There's a phrase attributed to Newton "If I have seen further it is by standing on the shoulders of Giants". The problem today is that the giants became so big, one can spend many years studying and still die before getting anywhere near their shoulders.
[1]. https://arxiv.org/abs/1205.5935 [2]. https://en.wikipedia.org/wiki/Nonstandard_calculus