Comment by aeonik
6 hours ago
I'm starting to prefer the s expression syntax when dealing with tree structures like json.
I wonder if we were raised on tree based algebra if math would be easier to do, or harder.
Like, solve for x.
(= (+ (* 2 x) 3) 11)
(= (* 2 x) (- 11 3))
(= (* 2 x) 8)
(= x (/ 8 2))
(= x 4)
Though this isn't too bad.
(= (+ (pow x 2)
(pow y 2))
(pow r 2))
I think also a lot of my objections could be worked around if one simply had a "math" macro that evaluates infix math notation as a DSL, similarly to how the CL "loop" macro does a DSL for iteration.
Perhaps this exists already somewhere?
I definitely prefer s-exps over both xml and json myself too!
Interesting question. Much of the difficulty does stem from mentally translating back and forth between conventional notation and s-exps too, since you can’t really avoid the standard notation when reading and writing math and physics papers. And current-day math and physics notation has been optimized to some extent for the infix notation; perhaps one would have invented more expressive higher-order functions or macros to denote s-exp math if that was what everyone used for centuries.
If you ever used an RPN calculator then this is very familiar