30Therefore many other signs Jesus also performed in the presence of the disciples, which are not written in this book; 31but these have been written so that you may believe that Jesus is the Christ, the Son of God; and that believing you may have life in His name. John 20:30-31 NASB
16All Scripture is inspired by God and profitable for teaching, for reproof, for correction, for training in righteousness; 17so that the man of God may be adequate, equipped for every good work. 2 Timothy 3:16-17 NASB
BTW, where does the writer claim the writings he's referring to would come to be considered Scripture?
You are assuming "post-hoc" without any indication from the text that these writings would come to be viewed, and even published together with, what the writer knew as "Scripture."
That's drawing a circle around the arrow that's already been shot, and claiming a bullseye.
He said to them, How foolish you are, and how slow to believe all that the prophets have spoken! Did not the Messiah have to suffer these things and then enter his glory? And beginning with Moses and all the Prophets, he explained to them what was said in all the Scriptures concerning himself. Luke 24:25-27
So here, Jesus refers to all the Scripture as the Old Testament. None of the New Testament was yet written. Clearly, Christ was showing how Old Testament Scripture proved what He had done.
And lets look at the verse you quote from Timothy I expanded it a bit: "But as for you, continue in what you have learned and have become convinced of, because you know those from whom you learned it, and how from infancy you have known the holy Scriptures, which are able to make you wise for salvation through faith in Christ Jesus." 2 Tim 3:14-15
Now lets look at context and reality:
1. This was written to Timothy
2. Timothy was born in 17 AD
The Scripture Timothy knew from infancy and what Paul is referring to is Old Testament. The New Testament wasn't written at the time of Timothys infancy.
Yes, all Scripture is inspired by God, and profitable for teaching, for reproof, for correction, for training in righteousness; so that the man of God may be adequate, equipped for every good work. NOWHERE does Scripture say that Scripture is all we need. Scripture DOES say the Church is the pillar and foundation of Truth.
2 Tm 3:16 is particularly interesting. 2 Timothy specifies several things that Timothy has to keep him faithful in his office as episcopos (bishop):