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%LOVE ACCEPTANCE RECONCILIATION ISOMORPHISM MATH 961228 Many religious traditions have much in common, if only those who are followers of the traditions seek to recognize what they have in common in spite of the differences between how they express what they have in common. We do not all express what we have in common in a common way. Often we express what we have in common in different ways---and fail to seek to recognize that our different ways of saying what is important to us often conceals how similar we are in our views of what is important to us. Many people are preoccupied with identifying how they are better than other people are. Often people regard themselves as better than other people because of what they regard is most important and how they say what they regard as most important. Because they say what they regard as most important in a ways which are different than how other people say what is most important---people often regard themselves as better than each other; even though what they regard as most important is similar or identical. What is different is the language in which they say what is most important to them. Because they do not seek to see beyond that difference in expressions of what is most important---people with very similar religious beliefs as regards what is most important are often in conflict with each other; if not at war with each other. We need to focus more attention upon what we hold in common; and less attention upon our differences. What we hold in common serves as the basis for cooperation and conflict resolution. Our differences are often used as excuses for attacks upon each other. When we are seeking to cooperate with each other on the basis of what we hold in common we do from time to time need to deal with our differences openly and honestly; doing so in terms of what we have found to be what we hold in common. This is possible once a firm foundation has been laid in terms of mutual understandings of what we hold in common. It is rare for people who are preoccupied with differences and grounds for excluding each other from open and honest dialogue---to call a halt to hostilities, conflicts and violence in order to seek to identify what they have in common. Hostilities, conflicts and violence do not lay firm foundations for any effort to identify what people have in common in terms of ideals, values and principles which they regard as most important. In light of the above it is prudent to work to identify what we hold in common as most important---even though we express our attitudes, assumptions, convictions, beliefs, and ideals in contrasting language. We need to learn from mathematicians and physicists who have found that in many situations great truths can be presented in greatly contrasting ways which are said to be "isomorphic" with each other. Rules can be found which show that statements in one manner of expression correspond exactly to statements in another manner of expression. This is the essence of Einstein's Theories of Relativity; the theories say how measurements in one system of measurements can be shown to correspond exactly to apparently contradictory measurements in another system of measurements. Similarly the early theory of wave mechanics was shown to be isomorphic with the matrix theory of quantum mechanics. Newton's Theory of Mechanics was shown to be isomorphic with the Lagrangian and Hamiltonian formulations of Mechanics. Yet each formulation has its one circumstances in which it is more advantageous than another formulation. They say the same things in different ways which turn out to be advantageous in different circumstances. Perhaps religious leaders could be successful in efforts to work together to discover the isomorphisms between what their religions affirm and thus lay firm foundations for the transcendence of religious conflicts and wars. (c) 1997 by Paul A. Smith in "Search for Integrity and Honesty" (On Being Yourself, Whole and Healthy)