If you are in actual fact a statistical outlier, you learn to stop listening to naysayers. You don't need to argue with them. In most cases, what they think doesn't really matter.
If you told Bill Gates "You can't do X" and he had already done it many times over, well, why should he waste time arguing with you?
You can also be arrogant on top of that. But you don't have to be arrogant to believe your track record justifies an assessment that the limits that normally apply won't apply to you, or won't necessarily apply, thus it merits trying anyway.
Such people tend to find their limits by smacking into them at 100 miles an hour and it is usually not pretty. They do this because they just can't trust the judgement of other people who have told them countless times "You can't do X." only to be proven definitely wrong.