Neither of those passages say that those are parts of man. That is being imposed on the text. If Paul has said, I pray your soul, body, and clothing, would be kept from destruction, would you argue that your clothing is part of man? I don't think you would make that argument. This shows that the sentence structure doesn't require that these are a part of man.
The word "your" indicates possession or ownership. That he says "your" that shows they aren't "you" If someone says your car, you don't assume the car is a part of you.
Soul in this case is being used of life. Notice the "whole" the body and the spirit combine to form the soul. Part one and part two combine to form the "whole". Just like Genesis 2:7 shows us the body and the spirit combine to form the life, the living soul.
The Scriptures weren't written to people who had modern science. God gave them to people and expected them to understand what He was saying. So, trying to compare modern science to something written thousands of years ago is comparing apples and oranges.
The point is that saying that the soul is the brain or the will, or emotions, etc. doesn't fit a lot of passages of Scripture. The only proper understanding of the word is one that can accommodate "EVERY" passage of Scripture where the word occurs.
And God said, Let the earth bring forth the living creature after his kind, cattle, and creeping thing, and beast of the earth after his kind: and it was so. (Gen. 1:24 KJV)
The word creature here is soul. Are all living creatures just a mind or will or emotions? Are all living creatures just a brain? There are passages like this all over the Scriptures
You might want to read that again. 'Do worry about your soul, what you will eat or what you will drink. He didn't say don't worry with you soul.
There is no implication and I didn't give an interpretation. I stated just what the passage says. On the contrary, you gave the interpretation that it's talking about thinking with your soul. That is contrary to Scripture.
You've got to make the distinction between literal and figurative uses of the word.
Firstly the "us" there is a Majestic Plural. However, just because God is spirit that doesn't necessitate that that is what God meant. God also is love. Is man love? It's doubtful when you look at all of the killing he does. Again, the point is that the idea is being imposed on the text. God said, 'let us make man in our image." It's then inferred that because God is spirit it must mean that man is spirit. No, doesn't have to mean that just because God is spirit that He means that man is spirit. That is an assumption. God didn't expound on what He meant when He said 'let us make man in our image".
However, let's look at that more closely. God said, 'let us make man in our image'. So, let's look at where God made man.
7 And the LORD God formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.1 (Gen. 2:7 KJV)
Look, Good made the man "BEFORE" He gave the spirit or before the soul came into being. This shows that beyond any doubt that the man existed before those receiving the spirit or becoming a soul. This shows beyond doubt that the soul and the spirit cannot be a part of man. Any understanding that doesn't align with the creation of man is incorrect no matter how popular the idea.
But you won't find that anywhere in Scripture. There is nowhere in Scripture that says that God "birthed" a spirit in man. The only spirit in man is God's breath or spirit of life. That this is the case can be seen in the vision that God gave to Ezekiel. In Ezekiel 37, the valley of dry bones, God shows Ezekiel the bones and Ezekiel prophesies over them and flesh comes on them but there are not alive. God then tells Ezekiel to prophesy to the ruach and life comes into the them and they live. The God gives Ezekiel the interpretation of the vision and says,
12 Therefore prophesy and say unto them, Thus saith the Lord GOD; Behold, O my people, I will open your graves, and cause you to come up out of your graves, and bring you into the land of Israel.
13 And ye shall know that I am the LORD, when I have opened your graves, O my people, and brought you up out of your graves,
14 And shall put my spirit in you, and ye shall live, and I shall place you in your own land: then shall ye know that I the LORD have spoken it, and performed it, sa (Ezek. 37:12-14 KJV)
God told Israel that He would bring them out of their graves and would put "HIS" spirit in them and they would live. He didn't say I'll put your spirit back in you, He said, "I'll put my spirit in you." The only spirit in a man is God's spirit.
This passage isn't saying what you think it's saying. It's actually arguing my point. You should read the entire context which starts in chapter 4. The passage is actually speaking of the resurrection which you can see in chapter 4.
You won't find anything in Scripture that teaches that man is a spirit, he's not. God created him from the dust of the earth.
I did explain it. Notice the word "wholly". Paul is addressing their entirety. They are living souls composed of body and spirit, thus Paul seeks the sanctification of their entirety. May your spirit be sanctified, may your life be sanctified and may your body be sanctified.
The verse says nothing about them being parts of the man.
The problem is the presuppositions we bring to the text. The passages you're posting don't say that there are three parts to man. You already believe that so when you see those passages you believe that that's what they are saying. Look for a single passage of Scripture that says there are three parts to man or that man is a spirit. You won't find any such thing in the Scriptures. You'll find passages that say your spirit or the spirit in man, but that doesn't necessitate that the spirit is the man. We know that there is a spirit in man because we saw that in Gen 2:7 it is God's. The words your and you are different. You denotes who you are, your denotes what is in your possession or is associated with you. So, when we see in Scripture "your spirit" we know that it is spirit that we are in possession of or associated with. Again, that is God's breath or spirit of life that He gives to every living thing.