"Proving" the Book of Mormon is another matter. You cannot prove the genuineness of any document to one who has decided not to accept it. The scribes and Pharisees of old constantly asked Jesus for proof, and when it was set before them in overwhelming abundance they continued to disbelieve: "O ye hypocrites, ye can discern the face of the sky; but can ye not discern the signs of the times?" (Matthew 16:3). When a man asks for proof we can be pretty sure that proof is the last thing in the world he really wants. His request is thrown out as a challenge, and the chances are that he has no intention of being shown up. After all these years the Bible itself is still not proven to those who do not choose to believe it, and the eminent Harry Torczyner now declares that the main problem of Bible study today is to determine whether or not "the Biblical speeches, songs and laws are forgeries."1 So the Book of Mormon as an "unproven" book finds itself in good company.” Hugh Nibley, Introduction to an Unknown Book”
If you would like to read more about what Hugh Nibley has to say about the Book of Mormon, you can click on this link. I think you will find that Mr. Nibley's works are delightful to read!