>>14816717the function not diverging to infinity is just a part of the definition, the actual set itself is a bunch of complex numbers that satisfy that definition
https://en.wikipedia.org/wiki/Mandelbrot_set#Formal_definitionif you set c to 1 and keep iterating over the function, then it goes to infinity therefore unbounded therefore 1 isn't a part of the set
if you set c to -1 then iterating over the function gives you a sequence 0, -1, 0, -1, 0, -1, ... which is clearly bounded so -1 is a part of the set
so the "does not diverge to infinity" from the article is referring to the function itself and not the set of complex numbers that compose the mandelbrot set
