Non-identity and non-allness name belief-principles of general semantics to apply in reevaluating our initial reasoning.
Of course, our initial reasoning must be consistent and coherent. It must strictly conform to scientific principles, valid logic, and correct mathematical techniques. This first stage reasoning process must strictly eliminate all fallacies, document and justify any assumptions, and carefully measure any observations. Any conclusions from that reasoning is thus assured that it follows logically. Only in this way can contrary results of actual testing disconfirm assumptions or inferences.
Once our intitial reasoning is up to scientific standards, we can apply the above principles by re-evaluate our initial reasoning to see if we might see some abstraction, assumption, or inference differently. Can we alter our perceived objects by changing the asbstraction - thus creating a different starting premise? We question the "idenity" of our abstracted objects by remembering non-allness - our abstraction missed things, and non-identity - could we have come to a diferent object? Can we revise our assumptions stimulated from those and other abstractions - also creating a different starting point? Can we alter our inference structure, and thereby create a branching path in our prior reasoning to different higher level abstractions?
Upon revaluation of our reasoning and the prior results using the perspectives of non-identity and non-allness, we then must re-validate our new objects, assumptions, and inferences as we did with our initial reasoning - again - to insure strict adherence to the scientific process, valid logic, and correct mathematics.Of course, familiarity with and use of these principles allows us to carefully consider our initial objects, assumptions and inferences at the beginning of the cycle, putting us ahead in the game at the beginning.
