The wise character is the exact opposite and recognises their own weaknesses. They will seek to improve themselves and learn from the mistakes they do make. They can see through what may be the easiest thing to do (and will ask if it is a trap. A "good" villain will recognise the traits of the enemy and seek to use them against them. This is where the foolish character not seeing through things will inevitably die, unless rescued. The wise character will do they can to get themselves out of trouble and is more likely to survive).
The wise character is inevitably irked by the foolish type! What happens then to your foolish and wise characters (and there should be a significant difference)? I find it easiest to write for the wise type as that is where my sympathies naturally lie.