okay, I admit - I can't cut accurately to 1/64th of an inch - I don't have the proper tools to do it.
But I do try to keep the accuracy between 1/8 and 1/16 of an inch - and I do check measurements after a few pieces are sewn.
Mary Ellen Hopkins had a nice way of putting it in her "It's Okay if You sit on My Quilt" (The title may not be exactly correct, but it's close)
It is really about getting it "right" using one's own methods.