2Ti 3:16 All Scripture is inspired by God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness,
Inspiration here simply means God-breathe. God breathed the Scriptures. Theologically, here's how it is---It is God breathing His revelation into the minds of the writers. The writers, then, in turn, inhale God's revelation and then exhales it, so to speak, through their writings, using their own unique personalities.
Strictly speaking, inspiration is limited to the Scriptures. It is the Scriptures that are inspired. We often hear of people saying: "The apostle so and so was inspired."
No, to be accurate, it is the Scriptures that are inspired. The apostles who wrote Scriptures were "moved" by the Holy Spirit. The Scriptures are inspired. Its writers were moved.
2Pe 1:20 knowing this first, that no prophecy of Scripture is of any private interpretation,
21 for prophecy never came by the will of man, but holy men of God spoke as they were moved by the Holy Spirit.