An eight-inch checkerboard can be covered with 32 one-by- two-inch dominos in thousands of different ways. If two opposite corners of the board are removed, 31 dominoes should be sufficient to cover the remainder. But the first attempt to do so ends in failure. So does the second. Everything proceeds smoothly most of the time; minor difficulties arise, but they are met successfully until the end. Then the would-be coverer finds himself with one domino in hand and two non-adjacent squares staring up at him from the board.
certain aspects of contemporary scientific thought in order to illustrate that:1. Inductive reasoning is far more pervasive of our thought processes than most of us realise (including many in the New Church).2. Therefore, in order to make the “jump” to a higher degree of thinking we need to become more aware of the distinctions between these stages of reasoning.3. Some of the new thinking in the so-called “advancing” sciences may be an aid to us by at least shaking the foundations
All human disciplines entail an ordering of experience. Indeed, this ordering is what makes them disciplines—i.e., systems of learning or of action based on established principles. The very recording of experience which we call history is such a discipline. More highly developed orderings of experience are such fields as theology, philosophy, the sciences, and—despite “modern” appearances—the arts.