The consistency he wants is between the different things you claim to think at any given time. To put it more practically, Socrates starts with whatever you say—call it X. Then he gets you to admit that you also believe Y. Then he causes you to see for yourself that X and Y are inconsistent. Neither has been proven wrong, but at least one of them must be. Since you can’t believe both, you’re forced to change one or the other. So Socrates isn’t your antagonist; he’s the one who shows you that you are your own antagonist.
