How should one deal with half hearted apologies? Those that say things like, "sorry you were offended," or more recently from an employee (who is under me mind you), "I am sorry about the other day but you still weasel out of things."
Rarely, do they admit wrongdoing and do not change. Do you accept and move on?
I have three passages below, that taken together, have helped me often.
I. Consider how Moses and God responded to Pharaoh's half-hearted and just plain insincere confession of sin.
Exodus 9:24-35
24 So there was hail, and fire mingled with the hail, very grievous, such as there was none like it in all the land of Egypt since it became a nation.
25 And the hail smote throughout all the land of Egypt all that was in the field, both man and beast; and the hail smote every herb of the field, and brake every tree of the field.
26 Only in the land of Goshen, where the children of Israel were, was there no hail.
27 And Pharaoh sent, and called for Moses and Aaron, and said unto them, I have sinned this time: the Lord is righteous, and I and my people are wicked.
28 Entreat the Lord (for it is enough) that there be no more mighty thunderings and hail; and I will let you go, and ye shall stay no longer.
29 And Moses said unto him, As soon as I am gone out of the city, I will spread abroad my hands unto the Lord; and the thunder shall cease, neither shall there be any more hail; that thou mayest know how that the earth is the Lord's.
30 But as for thee and thy servants, I know that ye will not yet fear the Lord God.
31 And the flax and the barley was smitten: for the barley was in the ear, and the flax was bolled.
32 But the wheat and the rie were not smitten: for they were not grown up.
33 And Moses went out of the city from Pharaoh, and spread abroad his hands unto the Lord: and the thunders and hail ceased, and the rain was not poured upon the earth.
34 And when Pharaoh saw that the rain and the hail and the thunders were ceased, he sinned yet more, and hardened his heart, he and his servants.
35 And the heart of Pharaoh was hardened, neither would he let the children of Israel go; as the Lord had spoken by Moses.
II. Consider also Jesus teaching in Luke.
To me, the operative word is in verse 4, 'saying,' or 'says.' If someone sins (I take is as the same sin) against you seven times in the same day, you can't help but question the sincerity. But what is Jesus teaching on the subject?
Luke 17:3-4 (ESV)
3 Pay attention to yourselves! If your brother sins, rebuke him, and if he repents, forgive him,
4 and if he sins against you seven times in the day, and turns to you seven times, saying, 'I repent,' you must forgive him."
III. Consider what God said to Samuel:
1 Samuel 16:7 (KJV)
But the Lord said unto Samuel, Look not on his countenance, or on the height of his stature; because I have refused him: for the Lord seeth not as man seeth; for man looketh on the outward appearance, but the Lord looketh on the heart.
The Lord is not rebuking Samuel for his superficial judgments, but rather He is simply stating what is the case.
These three passages have saved me a lot of sorrow and delivered me from questioning what you can nor possibly know. I.e., someone's heart. I learned this while serving as an elder.