Debate or not to Debate?

I believe that "debate" is the incorrect term that is being used here. As Christians we should "rebuke," not debate. What's the difference? Why?

To "debate" is worldly. Strong’s Lexicon says that "debate" is "strife, debate, contention:
1) contention, strife, wrangling. To "debate" is listed among the things of a reprobate mind (Romans 1:29). To “debate” comes from the Latin word “battere”, which means “to fight.“ It would wrong to “fight” and argue over a topic for a prolonged period of time for the sake of argument.

To "rebuke" is biblically correct.

Strong’s Lexicon says that to "rebuke" means to "convict, refute, confute:
1a) generally with a suggestion of shame of the person convicted
1b) by conviction to bring to the light, to expose
2) to find fault with, correct
2a) by word
2a1) to reprehend severely, chide, admonish, reprove
2a2) to call to account, show one his fault, demand an explanation
2b) by deed
2b1) to chasten, to punish

1. The bible says that a rebuke (or reproof) is "better than secret love (Proverbs 27:5)."
2. It is said to be "better than the praise of fools (Ecclesiastes 7:5)."
3. It is more profitable to saints, than stripes to a fool (Proverbs 17:10).
4. We know that when a rebuke is from God is because it is for correction (Psalm 39:11) and should be accompanied by exhortation to repentance (1 Sam 12:20-25).

Examples of biblical rebuke.
1. Paul rebuked Peter at Antioch (Gal. 2:11).
2. Paul rebuked the Corinthians in 1 Cor. 1:10-13; 5:1-5; 6:1-8; 11:17-22.
3. Peter rebuked Simon in Acts 8:20.
4. Stephen rebuked the council (Acts 7:51).
5. John the Baptists rebuked the Pharisees and Sadducees in Matthew 3:7 and Luke 3:19.

Therefore, I do believe that it is important to rebuke and reprove of others who are in error about what the bible teaches. This must be done with the proper perspective, discernment and context. It is important that when rebuking others, it must be done in Christian love; not because you hate them, but because you love them and want them to see the truths of Scripture.