Well, I was hinting at this, but I think you should also consider the idea that form follows function. I think the function of mathematical notation for the sake of mathematics proper is for greater and greater abstraction, which involves ignoring any element not considered necessary or relevant to what is being proposed.
Those of us who are, instead, more interested in practical reason and wish to gain some mileage from the achievements of mathematics, are more likely to adopt notation more similar to programming languages, where we want to express relationships that are more grounded and more concrete.
There isn’t any perfect mathematical notation, only notation that is most efficient for your particular usage. Like everything else, finding “good notation” is an economics problem.
Well, I was hinting at this, but I think you should also consider the idea that form follows function. I think the function of mathematical notation for the sake of mathematics proper is for greater and greater abstraction, which involves ignoring any element not considered necessary or relevant to what is being proposed.
Those of us who are, instead, more interested in practical reason and wish to gain some mileage from the achievements of mathematics, are more likely to adopt notation more similar to programming languages, where we want to express relationships that are more grounded and more concrete.
There isn’t any perfect mathematical notation, only notation that is most efficient for your particular usage. Like everything else, finding “good notation” is an economics problem.