Random internet people explaining math better then math teacher

there is no reason for a (non-foreach) for loop to be any more or less finite than a while loop.

for (a; b; c)
{
  d;
}

is just syntactic sugar for

{
  a;
  while (b)
  {
    d;
    c;
  }
}

in most or all languages with c-like syntax.

for (i=0; true; i++)

There's nothing special about a generic for loop (at least in C-like languages). There's no reason you couldn't do something like for (i = 0; true; i++) to make it infinite. Some languages even support an infinite list generator syntax like for i in [0..] (e.g. it lazily generates 0, then 1, then 2, etc. on each iteration) so you can use a for-each style loop to iterate infinitely.

Now, whether or not you should do such things is another question entirely. I won't pretend there aren't any instances where it's useful, but most of the time you're better off with a different structure.

I wanna see how you get a while loop to actually go to infinity. I'll wait...

on second thought, no I won't.