If you are hoping that the title indicates that this is a “how-to” guide, then you will be mistaken. I am not qualified to explain how to speak or write without arrogance, because this is a constant battle for me.
One answer that some people use is to equivocate on what they write. The constant refrain is “I could be wrong”, or “maybe this point is not important.” Now, there are indeed topics, on which I could speak, that are not of fundamental importance, so I can easily suggest that a number of views are possible on such subjects. However, my main theme is that Genesis is literally true. So I keep on writing and saying that the plain, literal reading of Genesis is correct and that old-age, day-age or mythological readings are wrong. How arrogant is that?
The point at issue is that we, as a ministry, are not proclaiming our personal views on this subject to be correct. A friend, who is a creationist speaker, was once taken to task after one of his talks by someone, who said, “I don’t limit God to creating the world in six days. He could have created the world in any way He chose, including by evolution.” My friend’s reply was this: “I don’t limit God to creating the world in six days. But I do limit myself to believing that God made the world in exactly the way that He said He made it.”
It is so easy for such language to come across as arrogant. Please, God, forgive me when I do so. But we proclaim that God created the world as He said in Genesis, not because we are arrogant — even if I frequently am — but because that is what God has said. God cannot be arrogant, because He is the Creator and He knows the truth, because He is the truth. Of course, I might proclaim that truth arrogantly, but if I exercise my own judgment on God’s truth and say that what He says might possibly not be the only way to understand things, then that is a worse form of arrogance. Our humility must be to submit to what God says in His word.