Trial and error should always remain the vital foundation to your system.
Math is most useful when one needs to copy something exactly or create something new based on an established standard.
This is because making something based on math always requires a point of reference for the new project but takes less time when doing the same thing based on trial and error.
Math is thus inadequate when something needs to be accomplished without an initial point of reference.
Math only works properly when one succeeds in proper problem-solving in order to determine the needed points of reference when administering it.
Trial and Error
Trial and error is best when one needs to create something original and/or when one wants to create something new without an established or known standard.
Making something based on trial and error may take more time than math when working on a project but is capable of success without initial points of reference.
Trial and error can also accomplish something with a point of reference, but when compared to using math, it may take more time to achieve a proper result.
Trial and error may only bring about proper results if it is done completely so as to be open to all relevant possibilities while practicing.
Putting Them Together
Ideally you want to have your own brand, a unique service that only you can provide, your own product, establishing your own business and credibility. To keep innovating, remaining a pioneer and a one-of-a-kind source, trial and error should always remain the vital foundation to your system.
Once you’ve become grounded in your foundation, better analysis, planning, calculation, reflection or any other form of scientific foresight, such as math can then become supplementary enhancement to your already strong base founded through trial and error.