wrt. 'where does the bible proclaim its own divinity,'
here:
2nd Timothy, 3:16
3:16 All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness:
"All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness."
John 16 is argued to be Jesus telling the apostles that their writings will be divinely inspired.
Ephesians 3:3-5
"3 that is, the mystery made known to me by revelation, as I have already written briefly. 4 In reading this, then, you will be able to understand my insight into the mystery of Christ, 5 which was not made known to people in other generations as it has now been revealed by the Spirit to God’s holy apostles and prophets."
1st corinthians:
"Or did the word of God originate with you? Or are you the only people it has reached? 37 If anyone thinks they are a prophet or otherwise gifted by the Spirit, let them acknowledge that what I am writing to you is the Lord’s command. 38 But if anyone ignores this, they will themselves be ignored."
2nd Peter 1:20:
"Above all, you must understand that no prophecy of Scripture came about by the prophet’s own interpretation of things. 21 For prophecy never had its origin in the human will, but prophets, though human, spoke from God as they were carried along by the Holy Spirit."
also:
http://mb-soft.com/believe/txw/bibleaut.htm
quote:
The authority of the Bible is established by its own claims. It is the word of God. Such declarations as, "Thus says the Lord," or its equivalent, occur so frequently in the OT that it can confidently be asserted that the whole account is dominated by the claim. The NT writers also refer to these Scriptures as having God for their source. In the NT itself both Christ and the gospel are spoken of as "the word of God" and so demonstrate the fact that the tie between the two is a vital and necessary one. Specifically is the gospel in its central content and many aspects, through the action of the Holy Spirit, brought into written form by Christ's appointees as God's authoritative word for the church and in the world. Both testaments therefore belong together under the one designation, "the word of God." As God's word the Bible consequently carries in itself God's authority.
Now, why should I believe any of that any more than I believe the Holy Salvation Meme?