ABSTRACT

The constraints I have set on this book would preclude my discussing these questions even if it were not the case that they far exceed my range of vision. The reader is encouraged to consult the works that have been written on each of these. Volumes have been written, yet the questions are still unanswered. That is why they are great questions. The first four questions are purely and arguably the four greatest unanswered mathematical questions. The others are scientific (empirical) questions that have strong mathematical components (though question 5 is difficult to categorize).