Jesus in his comment to Martha asked if she believed he was the resurrection and the life, and that those who believed, even if they died would live. Believed who he is (the resurrection and the life) is all the "criteria" he gave. He did not go into a theological or doctrinal discussion.
Martha responded that yes she believed that he was the Son of God who was coming into the world. A direct reference to Messianic prophecies. We are not told what was in Martha's mind when she said that, but it is safe to presume one thing, I believe, and that is that she placed full and confident faith in Jesus the person. The fact that she, a Jew, called him Lord would also indicate that she recognized the Son of God as being God.
I fully agree with you that no matter how great or small one's faith is in knowledge, no one has it within themselves. It is a direct work of the Spirit and it is the Spirit who bears witness to our spirit within us. No other human can see that. It has been described in Christian circles as ,"I know that I know that I know." Which of course, is a meaningless statement to anyone else. They don't know what we mean unless they too have that internal witness of the Spirit. And even the unregenerate can and often do, make the same statement about whatever it is that they do believe.
So I return to my question. And I put it in the C/A board for a reason, but obviously I have not made myself clear, though a very fruitful and interesting discussion has developed anyway.
Maybe even a better one. The question of the OP was dealing with a claim of a particular view of"free will" debate. .
That is, that yes God must provide grace because of our fallen state and of being at enmity with him. This grace gives us understanding, opens our eyes to see it and understand it. At which time we then make a choice whether to believe or reject.
This scenario has one understanding and believing and at the same time capable of not believing what they believe.
Maybe. Maybe she recognized him as a prophet. It seems to be her sister Mary who really understood who he was. The fact that not even the disciples truly understood even as they talked with him after his resurrection, makes me question that she knew him as the resurrection and the life, the Son of God and Lord. The only way she could know that, at that time, (prior to the crucifixion, resurrection and ascension and the coming of the Holy Spirit in Acts) was by the Spirit revealing it----in her heart and mind.