A renewed mind, in the Biblical sense, is a mind that is so saturated with Scripture that it thinks Scripture when a crisis hits, rather than relying on wits for a solution to the crisis.
In other words, our minds are renewed when it is so saturated with the word of God that we think Scripture when decision time arrives, rather than trying to “figure things out for ourselves” by using our wits. At that point in time, we know we have renewed our minds in the Biblical sense…