see yourself in a way that others might not see you, simply because
It is a sort of reverse reference to the Robert Burns poem "To a Louse" which says
O wad some Pow'r the giftie gie us // To see oursels as ithers see us!
or in standard English
Oh would some Power give us the gift // To see ourselves as others see us!
What Harris is saying is that you should believe that you can transcend the limitations placed on you by other people's perception of you. In other words "Don't let other people's prejudices define you".