a mere recognition of sin is not enough to qualify as biblical repentanceand he goes on to list several examples from the Bible: Pharaoh, Balaam, Achan, King Saul, Judas. (I am not certain I agree concerning Ahab.)
This is important because repentance is not just a sense of sorrow, as important as that may be. Repentance means to turn away; to cease sinning and start behaving righteously.
We don't just need worldly sorrow for our actions, we need to repent: we need to cease sinning and instead walk in obedience to God. For the stubborn man rebuked several times will suddenly be destroyed (Proverbs 29:1).