Basically I thought of this theory and it may exist using different metaphors or what not. But I can't really determine any answer to it, this is pretty much it. Let's just say for the purpose of making this scenario easier, we have a time machine that can travel back through time. Say there is a person who will accept a stick of a certain length, and you are the one that gives him the stick. Now, let's say you alter the length of the stick and then go back in time and give him the stick, and you keep doing this changing the size of the stick (also, let's say the circumstances in which he receives the stick are the same) until you get to the point where let's say in his mind he accepts 0.5 length, and you give him 0.49999999999999999... length. Would he accept it? As to the human eye it would appear to be the exact same length as the 0.5 he had in mind. Is there a point where you can change the length in very small amounts, unnoticeable to the human eye, in which the receiver of the stick would accept it? That's just an idea but what is everyone's thoughts?