And now there arranged themselves upon this board, in white characters, problem after problem in Equation; the Rule in which we had been exercising. I cannot describe the celerity with which these problems were stated upon the board, and worked out to the intense gratification of my son and myself; the most difficult and apparently unequal quantities being with the rapidity of thought interchanged neutralized reduced and determined, so that what seemed at the outset extremely involved, became lucid as day, and the unknown quantities made specific to our perfect satisfaction in an instant of time. We were delighted with the lesson. I felt the hand of my son gently pressing mine, as he was accustomed to do when he would evince his satisfaction at any thing we examined successfully together; and we agreed with each other to cherish the recollection of these elucidations for future practice. Turning again toward the board, we found it entirely freed from any trace of what had been wrought upon it. And now, in a manner which I have no possible means of imparting to the Reader, the good and evil of Life formed the specific and the unknown quantities that were wrought out upon the board. Problem succeeded problem, formed out of various conditions of life, with the same rapidity as those in Arabicks had been, and though vastly more complicated, with the same satisfactory result. Every variety and combination of circumstances in life seemed exhibited; positive negative neutral in a moment; until certain trials and occurrences led to certain virtues, with the same precision as in the preceding series of demonstrations _x_ had for example been shewn to be equal to 8. Our joy was beyond expression in words; we embraced each other and I well remember saying, 'My dear Hal, this is Truth; positive Truth; moral, but as certain and as irrefragible, as any mathematical Truth is or ever can be shewn to be.' We turned again toward the Board, and another course altogether of demonstrations passed over the surface of it, and was made scrutable to our perceptions. By one process the illimitable power of GOD was borne in upon my apprehension with a vividness of conception that I had never felt before. By another I well remember Truth and Wisdom were shewn to be one and the same, and all Truth to proceed from and to be an attribute of GOD. By another, Infinite Justice, deduced from Infinite Power and Infinite Truth, was arrived at, as His essential and necessary quality. Again, the revealed Word of GOD as declared in the Bible was established in my mind as the irresistible result of another process; and, although several had intermediately passed over the Board, this was I think the last. The Board faded, the figure at our side disappeared, we were out of church, and presently I awoke, and lo! it was a DREAM! But the recollection of that dream has never faded from my memory, and I trust that the influences of it may never be lost.