If Matthew calls himself "Matthew", and not "Levi", is that perhaps because that is what he wants to be known by?

Matthew 9:9 And as Jesus passed forth from thence, he saw a man, named Matthew, sitting at the receipt of custom: and he saith unto him, Follow me. And he arose, and followed him.

Matthew 10:3 Philip, and Bartholomew; Thomas, and Matthew the publican; James the son of Alphaeus, and Lebbaeus, whose surname was Thaddaeus;

Mark and Luke call him "both" Matthew and Levi:

Mark 2:14 And as he passed by, he saw Levi the son of Alphaeus sitting at the receipt of custom, and said unto him, Follow me. And he arose and followed him.

Mark 3:18 And Andrew, and Philip, and Bartholomew, and Matthew, and Thomas, and James the son of Alphaeus, and Thaddaeus, and Simon the Canaanite,

Luke 5:27 And after these things he went forth, and saw a publican, named Levi, sitting at the receipt of custom: and he said unto him, Follow me.

Luke 6:15 Matthew and Thomas, James the son of Alphaeus, and Simon called Zelotes,

Nowadays, many of us do not want to use the name Matthew, even though he himself only used that name for himself, and the gospel is named that.

I realize the strong desire that we sometimes feel to only use the "Hebrew" names for people.

For a very long time, that is what I did, I substituted the Hebrew names, when reading aloud the scriptures.

For example, every time I saw the name Jesus, I would say "Yeshua", or when I saw the name LORD, I would say "Yaweh".

Then there were those who wouldn't say "Yeshua", but only "Yehoshua".

Those guys made us feel like heretics, they were obviously much closer to whatever it was that we were trying to do by substituting the names.

Then a bus driver rebuked me, saying that I was "correcting" the scriptures.

Did I knew more than God, or did I think that God needed my help to straighten out his Bible?

At first I was angry with that bus driver, but then I realized that he was telling me the truth.

I actually began to fell ashamed of myself, and I stopped trying to change the scriptures to what "I thought" they should be.

There was another time when some people thought like me, that they knew better what the name should be:

Luke 1:59 And it came to pass, that on the eighth day they came to circumcise the child; and they called him Zacharias, after the name of his father.

 60 And his mother answered and said, Not so; but he shall be called John.

 61 And they said unto her, There is none of thy kindred that is called by this name.

 62 And they made signs to his father, how he would have him called.

 63 And he asked for a writing table, and wrote, saying, His name is John. And they marvelled all.