Example sentence - You can convince someone that people can fly, but you cannot persuade them to try and fly.
In that example, the word "convince" cannot be changed out for "persuade".[/quote]
I would say that it can. Do a corpus search in a
concordancer rather than relying on your own intuition - both are used in both ways. If you look in a good dictionary (I checked the Collins Cobuild English Language Dictionary) you should find both definitions for both words.