It was that attitude that led to my numerous injuries on the running track. I don't recommend it. It is one thing if you have an elite body that holds up just fine no matter how much training you do, but most of us mere mortals just break down if we push through the pain.
Feel free to push through discomfort but never, ever push through pain unless you want the knees of an 80 year old when you are 37(like me.)