Why does Proctor initially agree to confess that he has trafficked with the devil, then change his mind and not confess?

Answer and explanation:

Proctor stops himself then changes his mind about not confessing because he wishes to save his life in order for him to enjoy life with his family and wants to see his kids growing up. In addition to this, he wants his kids to grow up at least with one living parent at their side since his wife had been exectued under Death Penalty before.