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. This is what Paul meant in his letter to the Romans.
Rom 12:22 And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God. (KJV)
Now let us go a step further. Let's pay close attention to those Scriptures in the Old Testament that were obviously addressed to The Abrahamic Seed Group. Concentrate on these because, unless they are specifically done away with, they are still in force now and we Gentile Christians are grafted into the same promises. We get the same benefits from them that the Old Testament members of The Abrahamic Seed Group received from them.
Rom 12:22 And be not conformed to this world: but be ye transformed by the renewing of your mind, that ye may prove what is that good, and acceptable, and perfect, will of God. (KJV)
Now let us go a step further. Let's pay close attention to those Scriptures in the Old Testament that were obviously addressed to The Abrahamic Seed Group. Concentrate on these because, unless they are specifically done away with, they are still in force now and we Gentile Christians are grafted into the same promises. We get the same benefits from them that the Old Testament members of The Abrahamic Seed Group received from them.