Do you think that the test part of a for can be omitted?

Yes. (Actually, a good answer would be "sounds dangerous".)

Omitting the Test

When the test part of a for is omitted it is as if the value true were put in its place. So,

for ( initialize ;   ; change )
  loopBody ;

is the same as:

for ( initialize ;  true  ; change )
  loopBody ;

This is mostly for compatibility with the language "C" and should probably not be done in newly written programs.

Could all three parts be omitted from a for?