Curiosity can be a good thing. It promotes exploration and discovery, and such discovery (when legitimate), enables us to enjoy God and His creation. However, just as we can’t know all things (for God has hidden many of them ― Deut. 29:29), neither may we allow our curiosity take us to forbidden places. Some open doors lead to elevator shafts, and thus we must proceed with caution. Moreover, God has set moral limits on our curiosity such that we may not sin as we seek to satisfy our curiosity. When we trespass God’s moral limits, we have become thieves by seeking to possess that which doesn’t belong to us. For many, there’s an extra curiosity about dark, evil, pernicious or forbidden things. Some matters are simply private: private to God or private to our neighbors. To peek into forbidden rooms might open Pandora’s Box, which, in turn, will unleash all the evils of the world. Curiosity killed the cat.
“Finally, brethren, whatever things are true, whatever things are noble, whatever things are just, whatever things are pure, whatever things are lovely, whatever things are of good report, if there is any virtue and if there is anything praiseworthy—meditate on these things.” ―Philippians 4:8
“To the pure all things are pure, but to those who are defiled and unbelieving nothing is pure; but even their mind and conscience are defiled. 16 They profess to know God, but in works they deny Him, being abominable, disobedient, and disqualified for every good work.” ―Titus 1:15-16